Fermi gases in one dimension: From Bethe Ansatz to experiments

Abstract

This article reviews theoretical and experimental developments for one-dimensional Fermi gases. Specifically, the experimentally realized two-component delta-function interacting Fermi gas -- the Gaudin-Yang model -- and its generalisations to multi-component Fermi systems with larger spin symmetries. The exact results obtained for Bethe ansatz integrable models of this kind enable the study of the nature and microscopic origin of a wide range of quantum many-body phenomena driven by spin population imbalance, dynamical interactions and magnetic fields. This physics includes Bardeen-Cooper-Schrieffer-like pairing, Tomonaga-Luttinger liquids, spin-charge separation, Fulde-Ferrel-Larkin-Ovchinnikov-like pair correlations, quantum criticality and scaling, polarons and the few-body physics of the trimer state (trions). The fascinating interplay between exactly solved models and experimental developments in one dimension promises to yield further insight into the exciting and fundamental physics of interacting Fermi systems.

64 pages, 34 figures, to appear in Rev. Mod. Phys

References in corpus (394)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Theory of Bose-Einstein condensation in trapped gases
• Feshbach Resonances in Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Theory of ultracold Fermi gases
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Formation and Propagation of Matter Wave Soliton Trains
• Observation of resonance condensation of fermionic atom pairs
• Formation of a Matter-Wave Bright Soliton
• Spinor Bose Condensates in Optical Traps
• Quantum Criticality in Heavy Fermion Metals
• Synthetic magnetic fields for ultracold neutral atoms
• Bosonization and Strongly Correlated Systems
• Continuous Quantum Phase Transitions
• One-Dimensional Fermi liquids
• Review of AdS/CFT Integrability: An Overview
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• A Mott insulator of fermionic atoms in an optical lattice
• Pairing and Phase Separation in a Polarized Fermi Gas
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Matter-wave interferometry in a double well on an atom chip
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Creation of ultracold molecules from a Fermi gas of atoms
• Bragg spectroscopy of a Bose-Einstein condensate
• Quantum phase transitions
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Regimes of quantum degeneracy in trapped 1D gases
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Quantum criticality
• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Probing many-body states of ultra-cold atoms via noise correlations
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Exciting Collective Oscillations in a Trapped 1D Gas
• Spin-Imbalance in a One-Dimensional Fermi Gas
• The Unitary Fermi Gas: From Monte Carlo to Density Functionals
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Deterministic Preparation of a Tunable Few-Fermion System
• Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
• Attractive and repulsive Fermi polarons in two dimensions
• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Local entanglement and quantum phase transition in the Hubbard model
• Entanglement and quantum phase transition in the extended Hubbard model
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Exactly solvable Richardson-Gaudin models for many-body quantum systems
• Resonantly-paired fermionic superfluids
• Confinement induced molecules in a 1D Fermi gas
• Fermi-Bose quantum degenerate ^40 K - ^87 Rb mixture with attractive interaction
• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Observation of an Efimov spectrum in an atomic system
• Quantum Criticality
• Quantum dynamics of impurities in a 1D Bose gas
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
• Collisional stability of a three-component degenerate Fermi gas
• Bosons in cigar-shape traps: Thomas-Fermi regime, Tonks-Girardeau regime, and between
• From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time
• Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
• Collective Oscillations of an Imbalanced Fermi Gas: Axial Compression Modes and Polaron Effective Mass
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Universality in Three- and Four-Body Bound States of Ultracold Atoms
• Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
• Fermionization of two distinguishable fermions
• Ultracold fermions and the SU(N) Hubbard model
• Fermi systems with long scattering lengths
• Observation of Heteronuclear Feshbach Resonances in a Bose-Fermi Mixture
• Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
• Collective oscillations of a 1D trapped Bose gas
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Realization of SU(2)*SU(6) Fermi System
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Quantum computing with alkaline earth atoms
• Normal state of highly polarized Fermi gases: simple many-body approaches
• Probing quantum and thermal noise in an interacting many-body system
• Observation of scale invariance and universality in two-dimensional Bose gases
• Fragmented and Single Condensate Ground States of Spin-1 Bose Gas
• Functional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
• Observation of Feshbach resonances between two different atomic species
• Yang-Yang thermodynamics on an atom chip
• Atomic Bose-Fermi mixtures in an optical lattice
• Stability and phase coherence of trapped 1D Bose gases
• Attractive Fermi gases with unequal spin populations in highly elongated traps
• Verification of universal relations in a strongly interacting Fermi gas
• Universal theory of nonlinear Luttinger liquids
• Spin-Orbit Coupled Quantum Gases
• Confinement-Induced Resonances in Low-Dimensional Quantum Systems
• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Multiplet Structure of Feshbach Resonances in non-zero partial waves
• Trapped Fermi gases
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Observations of density fluctuations in an elongated Bose gas: ideal gas and quasi-condensate regimes
• Quantum transport through a Tonks-Girardeau gas
• Nonequilibrium Transport in Quantum Impurity Models (Bethe-Ansatz for open systems)
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Degenerate Fermi Gas of ${}^{87}$Sr
• Strongly inhibited transport of a 1D Bose gas in a lattice
• p-Wave Interactions in Low-Dimensional Fermionic gases
• Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Atom-molecule coherence in Bose gases
• Universal behavior of pair correlations in a strongly interacting Fermi gas
• Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
• Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
• Expansion of a coherent array of Bose-Einstein condensates
• Dynamical density-density correlations in the one-dimensional Bose gas
• Observation of anomalous diffusion and fractional self-similarity in one dimension
• Evidence for Ground- and Excited-State Efimov Trimers in a Three-State Fermi Gas
• Bragg spectroscopy of a strongly interacting Fermi gas
• Pairing in few-fermion systems with attractive interactions
• Universal Properties of the Ultra-Cold Fermi Gas
• Critical Behavior of a Trapped Interacting Bose Gas
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Radio Frequency Association of Efimov Trimers
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Competing orders in one dimensional spin 3/2 fermionic systems
• Interference between independent fluctuating condensates
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Integrability of the pairing hamiltonian
• Tuning of heteronuclear interactions in a quantum-degenerate Fermi-Bose mixture
• An exactly solvable model of the BCS-BEC crossover
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
• Tan relations in one dimension
• T-systems and Y-systems in integrable systems
• Probing the excitation spectrum of a Fermi gas in the BCS-BEC crossover regime
• Local quantum criticality in confined fermions on optical lattices
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Luttinger liquid of polarons in one-dimensional boson-fermion mixtures
• Itinerant ferromagnetism of a repulsive atomic Fermi gas: a quantum Monte Carlo study
• Fermi polarons in two dimensions
• Alkaline-Earth-Metal Atoms as Few-Qubit Quantum Registers
• Inhomogeneous superconducting state in quasi-one-dimensional systems
• One-particle dynamical correlations in the one-dimensional Bose gas
• Quasi-one-dimensional polarized Fermi superfluids
• Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement
• Algebraic Bethe ansatz method for the exact calculation of energy spectra and form factors: applications to models of Bose-Einstein condensates and metallic nanograins
• Synthetic partial waves in ultracold atomic collisions
• Mach-Zehnder Bragg interferometer for a Bose-Einstein Condensate
• Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering
• Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
• Quantum critical behavior of ultracold atoms in two-dimensional optical lattices
• Quantum-degenerate mixture of fermionic lithium and bosonic rubidium gases
• Shortcuts to adiabaticity in a time-dependent box
• Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
• Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
• Probing three-body correlations in a quantum gas using the measurement of the third moment of density fluctuations
• All-Optical Formation of Quantum Degenerate Mixtures
• Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• The Quantum Inverse Scattering Method for Hubbard-like Models
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Repulsive polarons and itinerant ferromagnetism in strongly polarized Fermi gases
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• Superfluidity and magnetism in multicomponent ultracold fermions
• Determinant representation for dynamical correlation functions of the Quantum nonlinear Schrödinger equation
• Fulde-Ferrell-Larkin-Ovchinnikov states in one-dimensional spin-polarized ultracold atomic Fermi gases
• Phase Sensitive Recombination of Two Bose-Einstein Condensates on an Atom Chip
• Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
• Expansion of a quantum gas released from an optical lattice
• Correlation functions of the one-dimensional attractive Bose gas
• Trimers, molecules and polarons in imbalanced atomic Fermi gases
• Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
• Formation Time of a Fermion Pair Condensate
• Dilute Fermi gas in quasi-one-dimensional traps: From weakly interacting fermions via hard core bosons to weakly interacting Bose gas
• Cooling and Near-equilibrium Dynamics of Atomic Gases Across the Superfluid-Mott Insulator Transition
• Non-Unitary Spin-Charge Separation in One-Dimensional Fermion Gas
• Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
• Polaron-molecule transitions in a two-dimensional Fermi gas
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Collisional Stability of 40K Immersed in a Strongly Interacting Fermi Gas of 6Li
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Expectation Values in the Lieb-Liniger Bose Gas
• Quantum phase diagram of the integrable p_x+ip_y fermionic superfluid
• Superconducting correlations in metallic nanoparticles: exact solution of the BCS model by the algebraic Bethe ansatz
• Observation of interspecies Li-Cs Feshbach resonances
• A Universal Trimer in a Three-Component Fermi Gas
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Two-point phase correlations of a one-dimensional bosonic Josephson junction
• Pairing of Fermions with Arbitrary Spin
• Evidence for the super Tonks-Girardeau gas
• Extracting density-density correlations from in situ images of atomic quantum gases
• Exactly solvable case of a one-dimensional Bose-Fermi mixture
• Three-body correlation functions and recombination rates for bosons in three and one dimensions
• Bethe Ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions
• Local correlations in a strongly interacting 1D Bose gas
• Interacting fermions in quasi-one-dimensional harmonic traps
• Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
• Bose-Fermi Mixtures in One Dimension
• Theory of quasi-one dimensional imbalanced Fermi gases
• Coherent multi-flavour spin dynamics in a fermionic quantum gas
• Quantum Degenerate Mixture of Ytterbium and Lithium Atoms
• Hanbury Brown and Twiss correlations across the Bose-Einstein condensation threshold
• BCS-to-BEC crossover from the exact BCS solution
• Ultracold mixtures of atomic Li-6 and Cs-133 with tunable interactions
• Exactly solvable pairing model for superconductors with a p+ip-wave symmetry
• Universal temperature dependence of the magnetization of gapped spin chains
• Spin-1/2 fermions on spin-dependent optical lattices
• Weakly interacting Bose gas in the one-dimensional limit
• Matter-wave Interferometry with Phase Fluctuating Bose-Einstein Condensates
• Critical behavior and scaling in trapped systems
• Ground-State Ferromagnetic Transition in Strongly Repulsive One-Dimensional Fermi Gases
• Applications of exact solution for strongly interacting one dimensional bose-fermi mixture: low-temperature correlation functions, density profiles and collective modes
• New method for studying steady states in quantum impurity problems: The interacting resonant level model
• Quantum Flutter: Signatures and Robustness
• Multimode dynamics and emergence of a characteristic length-scale in a one-dimensional quantum system
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Paired states in spin-imbalanced atomic Fermi gases in one dimension
• Decay of polarons and molecules in a strongly polarized Fermi gas
• Mixture of bosonic and spin-polarized fermionic atoms in an optical lattice
• Two component interacting bosons: 1-d exact results
• Exact results of the ground state and excitation properties of a two-component interacting Bose system
• Trap-size scaling in confined particle systems at quantum transitions
• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture
• Two super Tonks-Girardeau states of a trapped 1D spinor Fermi gas
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Density functional theory in one-dimension for contact-interacting fermions
• Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
• Non-Interacting Fermions in a One-Dimensional Harmonic Atom Trap: Exact One-Particle Properties at Zero Temperature
• Dynamic spin response of a strongly interacting Fermi gas
• Algebraic Bethe ansatz approach for the one-dimensional Hubbard model
• Signature of Quantum Criticality in the Density Profiles of Cold Atom Systems
• Commensurate mixtures of ultra-cold atoms in one dimension
• Threshold Singularities in the One Dimensional Hubbard Model
• Wilson ratio of a Tomonaga-Luttinger liquid in a spin-1/2 Heisenberg ladder
• Tunneling theory of two interacting atoms in a trap
• Functional Relations in Solvable Lattice Models II
• Three-body Recombination of Lithium-6 Atoms with Large Negative Scattering Lengths
• Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices
• Superfluidity in a Three-flavor Fermi Gas with SU(3) Symmetry
• Highly polarized Fermi gases: One-dimensional case
• Repulsive polarons in two-dimensional Fermi gases
• Exact results for the 1D interacting mixed Bose-Fermi gas
• Fluctuations and stochastic processes in one-dimensional many-body quantum systems
• Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
• Exact solution of the p+ip pairing Hamiltonian and a hierarchy of integrable models
• Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions
• Atom-dimer scattering for confined ultracold fermion gases
• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
• Super-Tonks-Girardeau gas of spin-1/2 interacting fermions
• Fermi 1D quantum gas: Luttinger liquid approach and spin-charge separation
• Box traps on an atom chip for one-dimensional quantum gases
• Three-Component Fermi Gas in a one-dimensional Optical Lattice
• Correlation functions of one-dimensional Bose-Fermi mixtures
• Criticality in Trapped Atomic Systems
• Quantum insulating states of F=2 cold atoms in optical lattices
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates
• Three-body problem for ultracold atoms in quasi-one-dimensional traps
• Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases
• Exact scattering eigenstates, many-body bound states, and nonequilibrium current of an open quantum dot system
• Exact Analysis of Delta-Function Attractive Fermions and Repulsive Bosons in One-Dimension
• Experimental evidence for the breakdown of a Hartree-Fock approach in a weakly interacting Bose gas
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases
• Pairing of 1D Bose-Fermi mixtures with unequal masses
• Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain
• Techniques to measure quantum criticality in cold atoms
• Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images
• Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms
• Finite-Temperature Properties of Attractive Three-Component Fermionic Atoms in Optical Lattices
• Signature of the FFLO phase in the collective modes of a trapped ultracold Fermi gas
• The Fermi-polaron in two dimensions: Importance of the two-body bound state
• Exact results for the 1D interacting Fermi gas with arbitrary polarization
• Superfluidity in Three-species Mixture of Fermi Gases across Feshbach Resonances
• Exotic many-body physics with large-spin Fermi gases
• Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas
• Expansion of 1D polarized superfluids: The FFLO state reveals itself
• Quasiparticle dynamics in a Bose insulator probed by inter-band Bragg spectroscopy
• Direct observation of quantum phonon fluctuations in a one dimensional Bose gas
• Expansion dynamics of the Fulde-Ferrell-Larkin-Ovchinnikov state
• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• Liquids in multi-orbital SU(N) Magnets with Ultracold Alkaline Earth Atoms
• Asymptotic correlation functions and FFLO signature for the one-dimensional attractive spin-1/2 Fermi gas
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap
• Exotic magnetic orders for high spin ultracold fermions
• BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
• One-dimensional multicomponent fermions with delta function interaction in strong and weak coupling limits: Two-component Fermi gas
• Quantum Criticality from in-situ Density Imaging
• Exactly solvable model for isospin S=3/2 fermionic atoms on an optical lattice
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Intrinsic Photoconductivity of Ultracold Fermions in Optical Lattices
• Low-Temperature Thermodynamics of $A_2^{(2)}$ and su(3)-invariant Spin Chains
• Finite temperature QMC study of the one-dimensional polarized Fermi gas
• Emergence of Wigner molecules in one-dimensional systems of repulsive fermions under harmonic confinement
• Quantum Criticality of 1D Attractive Fermi Gas
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Pair tunneling, phase separation and dimensional crossover in imbalanced fermionic superfluids in a coupled array of tubes
• Fourier transform of the $2k_F$ Luttinger liquid density correlation function with different spin and charge velocities
• Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi mixtures
• Superfluid phases of the three-species fermion gas
• Collective dispersion relations for the 1D interacting two-component Bose and Fermi gases
• Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
• Critical exponents of the degenerate Hubbard model
• Integrability of the russian doll BCS model
• Oscillatory pairing amplitude and magnetic compressible-incompressible transitions in imbalanced fermionic superfluids in optical lattices of elongated tubes
• Three-Component Fermionic Atoms with Repulsive Interaction in Optical Lattices
• Exploring quantum criticality based on ultracold atoms in optical lattices
• Paired state in an integrable spin-1 boson model
• Diffractive scattering of three particles in one dimension: a simple result for weak violations of the Yang--Baxter equation
• Correlation lengths of the repulsive one-dimensional Bose gas
• Exact solutions for a type of electron pairing model with spin-orbit interactions and Zeeman coupling
• Spatio-temporal Fermionization of Strongly Interacting 1D Bosons
• Exact results for the thermal and magnetic properties of strong coupling ladder compounds
• Using magnetic chip traps to study Tonks-Girardeau quantum gases
• Induced interactions and the superfluid transition temperature in a three-component Fermi gas
• Polarization Suppression and Nonmonotonic Local Two-Body Correlations in the Two-Component Bose Gas in One Dimension
• Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms
• Yang-Yang thermodynamics of Bose-Fermi Mixture
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures
• Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
• Exactly solvable models in atomic and molecular physics
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• On the spin-liquid phase of one dimensional spin-1 bosons
• Resonant enhancement of the FFLO-state in 3D by a one-dimensional optical potential
• Equilibrium thermodynamic properties of interacting two-component bosons in one dimension
• Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
• Density profile of interacting Fermions in a one-dimensional optical trap
• Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Mean-field treatment of the damping of the oscillations of a 1D Bose gas in an optical lattice
• Thermal and magnetic properties of spin-1 magnetic chain compounds with large single-ion and in-plane anisotropies
• Three-dimensional quasi-Tonks gas in a harmonic trap
• Competition between Normal Superfluidity and Larkin-Ovchinnikov Phases of Polarized Fermi Gases in Elongated Traps
• FFLO vs Bose-Fermi mixture in polarized 1D Fermi gas on a Feshbach resonance: a 3-body study
• Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap
• Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model
• Exactly solvable models and ultracold Fermi gases
• Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Polaron-like effects in a one-dimensional optical lattice
• Quantum criticality of a one-dimensional Bose-Fermi mixture
• Collective modes as a probe of imbalanced Fermi gases
• Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
• Quasi-1D atomic gases across wide and narrow confinement-induced-resonances
• From the quantum Jacobi-Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model
• Resonance in an open quantum dot system with a Coulomb interaction: a Bethe-ansatz approach
• Interplay between temperature and trap effects in one-dimensional lattice systems of bosonic particles
• Oscillatory pairing of fermions in spin-split traps
• Low-energy excitations of the one-dimensional half-filled SU(4) Hubbard model with an attractive on-site interaction: Density-matrix renormalization-group calculations and perturbation theory
• A general T-matrix approach applied to two-body and three-body problems in cold atomic gases
• Thermal and magnetic properties of integrable spin-1 and spin-3/2 chains with applications to real compounds
• Stability of spinor Fermi gases in tight waveguides
• Fermi gas with attractive potential and arbitrary spin in one-dimensional trap
• Two-component repulsive Fermi gases with population imbalance in elongated harmonic traps
• Pure Fulde-Ferrell-Larkin-Ovchinnikov state in optical lattices
• Polar Phase of 1D Bosons with Large Spin
• Solvable models of Bose-Einstein condensates: a new algebraic Bethe ansatz scheme
• Phase Diagrams of Three-Component Attractive Ultracold Fermions in One-Dimension
• Efficient Thermodynamic Description of Multi-Component One-Dimensional Bose Gases
• Many-body properties of quasi-one dimensional Boson gas across a narrow CIR
• Ground State Energy for Fermions in a 1D Harmonic Trap with Delta Function Interaction
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin exchange interaction
• Ground state properties of one-dimensional Bose-Fermi mixtures
• Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
• Hidden Sp(2s+1)- or SO(2s+1)-symmetry and new exactly solvable models in ultracold atomic systems
• Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
• 1D-FFLO state in the absence of time-reversal symmetry breaking
• Mixture of Tonks-Girardeau gas and Fermi gas in one-dimensional optical lattices
• Response functions in multicomponent Luttinger liquids
• Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions
• Exactly Solvable Models of Interacting Spin-s Particles in one-dimension

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• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Lectures on Yangian Symmetry
• Spin-charge separation in a 1D Fermi gas with tunable interactions
• Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
• Stable giant vortex annuli in microwave-coupled atomic condensates
• Quantum Impurity in a One-dimensional Trapped Bose Gas
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Exact solution for the quench dynamics of a nested integrable system
• Pascal conductance series in ballistic one-dimensional LaAlO${}_3$/SrTiO${}_3$ channels
• Dark Solitons with Majorana Fermions in Spin-Orbit-Coupled Fermi Gases
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields
• Magnetism in strongly interacting one-dimensional quantum mixtures
• The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
• Integrable Matrix Product States from boundary integrability
• Measurement of the Dynamical Structure Factor of a 1D Interacting Fermi Gas
• One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
• Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
• Generalized hydrodynamics: a perspective
• Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension
• Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides
• Surmounting the sign problem in non-relativistic calculations: a case study with mass-imbalanced fermions
• Emulating the one-dimensional Fermi-Hubbard model by a double chain of qubits
• One-dimensional Fermi gas with a single impurity in a harmonic trap: Perturbative description of the upper branch
• Exact solution of the Bose Hubbard model with unidirectional hopping
• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
• Pairing of few Fermi atoms in one dimension
• Integrable quenches in nested spin chains I: the exact steady states
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
• Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of non-relativistic fermions in one dimension
• Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
• Polaron Problems in Ultracold Atoms: Role of a Fermi Sea across Different Spatial Dimensions and Quantum Fluctuations of a Bose Medium
• Universality in one-dimensional fermions at finite temperature: Density, pressure, compressibility, and contact
• Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• A Pure Confinement Induced Trimer in One-Dimensional Atomic Waveguides
• Inhomogeneous phases in one-dimensional mass- and spin-imbalanced Fermi gases
• Conjectures about the ground-state energy of the Lieb-Liniger model at weak repulsion
• Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• SU(N) Fermions in a One-Dimensional Harmonic Trap
• Exact formulas for the form factors of local operators in the Lieb-Liniger model
• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
• A geometric wave function for few interacting bosons in a harmonic trap
• Soliton-induced Majorana fermions in a one-dimensional atomic topological superfluid
• One-dimensional Quantum Spin Dynamics of Bethe String States
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• Few-fermion systems in one dimension: Ground- and excited-state energies and contacts
• Bose-Fermi Mapping and Multi-Branch Spin Chain Model for Strongly Interacting Quantum Gases in One-Dimension: Dynamics and Collective Excitations
• Experimental realization of the Yang-Baxter Equation via NMR interferometry
• Critical behaviours of contact near phase transitions
• Enhancing Kondo Coupling in Alkaline-Earth Atomic Gases with Confinement-induced Resonances in Mixed Dimensions
• One-dimensional multicomponent Fermi gas in a trap: quantum Monte Carlo study
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Impurities in a one-dimensional Bose gas: the flow equation approach
• Integrable families of hard-core particles with unequal masses in a one-dimensional harmonic trap
• Strongly interacting Bose-Fermi mixtures in one dimension
• Thermodynamic limit and boundary energy of the SU(3) spin chain with non-diagonal boundary fields
• Dimer-dimer zero crossing and dilute dimerized liquid in a one-dimensional mixture
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Resurgence for superconductors
• Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
• Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models
• Probing the BCS-BEC crossover with persistent currents
• New renormalons from analytic trans-series
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Integrable quenches in nested spin chains II: fusion of boundary transfer matrices
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Thermodynamics, contact and density profiles of the repulsive Gaudin-Yang model
• Collective modes of a one-dimensional trapped atomic Bose gas at finite temperatures
• The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
• Exactly-solvable system of one-dimensional trapped bosons with short and long-range interactions
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Magnetic impurity in a one-dimensional few-fermion system
• Collective modes of a harmonically trapped one-dimensional Bose gas: the effects of finite particle number and nonzero temperature
• Bound states and field-polarized Haldane modes in a quantum spin ladder
• Integrable quenches in the Hubbard model
• In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas
• Perspective on new implementations of atomtronic circuits
• Itinerant ferromagnetism in 1D two-component Fermi gases
• Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
• Emergence and disruption of spin-charge separation in one-dimensional repulsive fermions
• Solution of the BEC to BCS Quench in One Dimension
• Analytical and numerical studies of Bose-Fermi mixtures in a one-dimensional harmonic trap
• Polarized fermions in one dimension: density and polarization from complex Langevin calculations, perturbation theory, and the virial expansion
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition
• Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
• Dark-soliton-like excitations in the Yang-Gaudin gas of attractively interacting fermions
• Probing the local rapidity distribution of a 1D Bose gas
• Pseudoparticle approach to 1D integrable quantum models
• Baryon squishing in synthetic dimensions by effective $SU(M)$ gauge fields
• Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss
• Quantum dark solitons in ultracold one-dimensional Bose and Fermi gases
• Nonexponential tunneling decay of a single ultracold atom
• Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
• Persistent currents in ultracold gases
• Hartree-Fock treatment of Fermi polarons using the Lee-Low-Pine transformation
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Cluster Gutzwiller study of Bose-Hubbard ladder: ground-state phase diagram and many-body Landau-Zener dynamics
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• Ground state energy of the $\delta$-Bose and Fermi gas at weak coupling from double extrapolation
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
• Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
• Permutation symmetry in spinor quantum gases: selection rules, conservation laws, and correlations
• A real space auxiliary field approach to the BCS-BEC crossover
• One-dimensional Fermi polaron in a combined harmonic and periodic potential
• Virial coefficients of 1D and 2D Fermi gases by stochastic methods and a semiclassical lattice approximation
• Grüneisen Parameters: origin, identity and quantum refrigeration
• Full Counting Statistics of Charge in Quenched Quantum Gases
• Dynamical Fermionization in One Dimensional Spinor Gases
• Simulating a quantum commensurate-incommensurate phase transition using two Raman coupled one dimensional condensates
• Dimensionless ratios: characteristics of quantum liquids and their phase transitions
• Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Reduced density matrix approach to ultracold few-fermion systems in one dimension
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Probe for bound states of SU(3) fermions and colour deconfinement
• Excitonic condensation in spatially separated one-dimensional systems
• Thermal disruption of a Luttinger liquid
• Thermometry by correlated dephasing of impurities in a 1D Fermi gas
• Emergent ballistic transport of Bose-Fermi mixtures in one dimension
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Introduction to the nested algebraic Bethe ansatz
• A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D
• The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks
• Non-equilibrium aspects of integrable models
• Colorful points in the XY regime of XXZ quantum magnets
• Topological phase, supercritical point and emergent phenomena in extended ${\mathbb{Z}}_3$ parafermion chain
• An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
• Correlation and entanglement spreading in nested spin chains
• Collective modes of a soliton train in a Fermi superfluid
• In Situ Thermometry of Fermionic Cold-Atom Quantum Wires
• Spectrum of elementary excitations in Galilean-invariant integrable models
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Two Atoms in a Double Well: An Exact Solution
• Temperature-driven crossover in the Lieb-Liniger model
• Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas
• Repulsive Fermi polarons with negative effective mass
• Inelastic decay from integrability
• Thermodynamics and static response of anomalous 1D fermions via quantum Monte Carlo in the worldline representation
• Universal Properties of Fermi Gases in One-dimension
• Parity effect in a mesoscopic Fermi gas
• Quantum phases of a one-dimensional dipolar Fermi gas
• Integrable spin chains and the Clifford group
• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
• Dynamical fermionization in a one-dimensional Bose-Fermi mixture
• Unconventional fermionic pairing states in a monochromatically tilted optical lattice
• Trace of broken integrability in stationary correlation properties
• FFLO correlation and free fluids in the one-dimensional attractive Hubbard model
• Ideal flat and resolved SU(3) Landau levels in three dimensions
• Detection of quantum phase boundary at finite temperatures in integrable spin models
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Breathing mode frequency of a strongly interacting Fermi gas across the 2D-3D dimensional crossover
• Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Exact solution for $SU(2)$-symmetry breaking bosonic mixtures at strong interactions
• Thermodynamics, density profiles and correlation functions of the inhomogeneous one-dimensional spinor Bose gas
• Observation of non-scalar and logarithmic correlations in 2D and 3D percolation
• Universality and quantum criticality of the one-dimensional spinor Bose gas
• Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas
• Emulation of lossless exciton-polariton condensates by dual-core optical waveguides: Stability, collective modes, and dark solitons
• Continuous matrix product states solution for the mixing/demixing transition in one-dimensional quantum fields
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Exotic pairing in 1D spin-3/2 atomic gases with $SO(4)$ symmetry
• Density-Matrix Renormalization Group for Continuous Quantum Systems
• Few-Boson Processes in the Presence of an Attractive Impurity under One-Dimensional Confinement
• Ground-state energy, density profiles, and momentum distribution of attractively interacting 1D Fermi gases with hard-wall boundaries: a Monte Carlo study
• Morphology of three-body quantum states from machine learning
• Exact results of dynamical structure factor of Lieb-Liniger model
• Pairing patterns in polarized unitary Fermi gases above the superfluid transition
• One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields
• Spin-incoherent Luttinger liquid of one-dimensional SU($\kappa$) fermions
• One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large $N$
• Single-particle versus many-body phase coherence in an interacting Fermi gas
• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
• Thermodynamics of low-dimensional trapped Fermi gases
• The importance of being integrable: out of the paper, into the lab
• Asymptotic behaviour of two-point functions in multi-species models
• From weak to strong: constrained extrapolation of perturbation series with applications to dilute Fermi systems
• Interplay between exotic superfluidity and magnetism in a chain of four-component ultracold atoms
• Beyond Gaussian pair fluctuation theory for strongly interacting Fermi gases
• Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions
• One-Dimensional Quantum Systems with Ground-State of Jastrow Form Are Integrable
• Probing two Higgs oscillations in a one-dimensional Fermi superfluid with Raman-type spin-orbit coupling
• Interference dynamics of matter-waves of SU($N$) fermions
• Density profile of noninteracting fermions in a rotating $2d$ trap at finite temperature
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Integrable Crosscap States: From Spin Chains to 1D Bose Gas
• Excitations in the Yang-Gaudin Bose gas
• Temporal Chiral Spiral in Strong Magnetic Fields
• Quench dynamics of dipolar fermions in a one-dimensional harmonic trap
• A pedagogical introduction to quantum integrability, with a view towards theoretical high-energy physics
• Universal low energy physics in one-dimensional multicompnent Fermi gases with a strongly repulsive $\delta$-function interaction
• Generalized thermalization for integrable system under quantum quench
• Mobile Spin Impurity in an Optical Lattice
• Spin Localization of a Fermi Polaron in a Quasirandom Optical Lattice
• Competition between pairing and tripling in one-dimensional fermions with coexistent s- and p-wave interactions
• Open-system spin transport and operator weight dissipation in spin chains
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• Dynamic scale anomalous transport in QCD with electromagnetic background
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Phase transitions in quasi-one dimensional system with unconventional superconductivity
• Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
• One-dimensional purely Lee-Huang-Yang fluids dominated by quantum fluctuations in two-component Bose-Einstein condensates
• Sum rules for spin-$1/2$ quantum gases in states with well-defined spins: spin-independent interactions and spin-dependent external fields
• Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas
• Grüneisen parameters for Lieb-Liniger and Yang-Gaudin models
• Repulsive dynamics of strongly attractive one-dimensional quantum gases
• Hard-Wall and Non-Uniform Lattice Monte Carlo Approaches to One-Dimensional Fermi Gases in a Harmonic Trap
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part I: Balanced case
• Emergence of a Bose polaron in a small ring threaded by the Aharonov-Bohm flux
• Spin dynamics of large-spin (spinor) fermions in a harmonic trap
• Extended Falicov-Kimball model: Hartree-Fock vs DMFT approach
• Collisionless spin dynamics in a magnetic field gradient
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• One-particle Green's function of interacting two electrons using analytic solutions for a three-body problem: comparison with exact Kohn--Sham system
• Exact Results for the Moments of the Rapidity Distribution in Galilean-Invariant Integrable Models
• Quasiparticle decay in a one-dimensional Bose-Fermi mixture
• Solitons in One Dimensional Systems at BCS-BEC Crossover
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Swallowtail Structure in Fermi Superfluids with Periodically Modulated Interactions
• Three roads to the energy gap
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
• Spin incoherent liquid and interaction-driven criticality in 1D Hubbard model
• Emergence of dark soliton signatures in a one-dimensional unpolarized attractive Fermi gas on a ring
• Method of difference-differential equations for some Bethe ansatz solvable models
• Thermodynamics of a one-dimensional system of point bosons: comparison of the traditional approach with a new one
• Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields
• Theoretical investigation of the behavior of CuSe2O5 compound in high magnetic fields
• Long-lived states with well-defined spins in spin-$1/2$ homogeneous Bose gases
• Strongly bound fermion pairs on a ring: a composite-boson approach
• Pairing correlations in a trapped one-dimensional Fermi gas
• Spin-selective insulators in Bose-Fermi mixtures
• Multiple-Channel Scattering Resonance of One-Dimensional Ultracold Spinor Bosons
• String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems
• Resonant excitation of acoustic waves in one-dimensional exciton-polariton systems
• One-body dynamical correlation function of Lieb-Liniger model at finite temperature
• Kinetic formation of trimers in a spinless fermionic chain
• Partial Fermionization---Spectral Universality in 1D Repulsive Bose Gases
• Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids
• A representation basis for the quantum integrable spin chain associated with the su(3) algebra
• Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps
• Hartree-Fock-Bogoliubov theory of trapped one-dimensional imbalanced Fermi systems
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Unconventional pairings of spin-orbit coupled attractive degenerate Fermi gas in a one dimensional optical lattice
• Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\text{SU}(N)$ Hubbard Models
• Probing an effective-range-induced super fermionic Tonks-Girardeau gas with ultracold atoms in one-dimensional harmonic traps
• One-dimensional ultracold atomic gases: Impact of the effective range on integrability
• Impurity coupled to an artificial magnetic field in a Fermi gas in a ring trap
• Exact Solutions to Two-Component Many-Body Systems in One Dimension
• A bosonic multi-state two-well model
• T-W relation and free energy of the Heisenberg chain at a finite temperature
• Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Ground State Properties of Anti-Ferromagnetic Spinor Bose gases in One Dimension
• Universal principles for sudden-quench quantum Otto engines
• The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction
• Statistical properties of the momentum occupation numbers of the Tonks-Girardeau gas in a harmonic trap
• Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
• Noise Induced Universal Diffusive Transport in Fermionic Chains
• Quantum dynamics of Gaudin magnets
• One-dimensional two-component fermions with contact even-wave repulsion and SU(2) breaking near-resonant odd-wave attraction
• Confinement-induced Resonance of Alkaline-earth-metal-like Atoms in Anisotropic Quasi-one-dimensional Traps
• Bose-like few-fermion systems
• Signature of quantum phase transition manifested in quantum fidelity at finite temperature
• Advances in non-relativistic matter via complex Langevin approaches
• Universal logarithmic temperature dependence of magnetic susceptibility of one-dimensional electrons at critical values of magnetic field
• Exact Dynamics and Shortcuts to Adiabaticity in the Tomonaga-Luttinger Liquid
• Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
• Trapped imbalanced fermionic superfluids in one dimension: A variational approach
• Persistent Current of SU(N) Fermions
• Thermodynamics of inhomogenous imperfect quantum gases in harmonic traps
• One-dimensional extended Hubbard model with spin-triplet pairing ground states
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
• A Solvable Model for Decoupling of Interacting Clusters
• One-Dimensional Quantum Systems - From Few to Many Particles
• Disordered impenetrable two-component fermions in one dimension
• Persistence of power-law correlations in nonequilibrium steady states of gapped quantum spin chains
• Sum rules for spin-$1/2$ quantum gases in states with well-defined spins: II. Spin-dependent two-body interactions
• Off-diagonal approach to the exact solution of quantum integrable systems
• Coexistence of insulating phases in confined fermionic chains with a Wannier-Stark potential
• Tsunami Solitons Emerging from Superconducting Gap
• Extended quasiparticle Padé approximation for non-Fermi liquids
• Contact potential instability in the path-integral description of itinerant ferromagnetism
• Effective theory for strongly attractive one-dimensional fermions
• Dynamical spin properties of confined Fermi and Bose systems in presence of spin-orbit coupling
• Strongly Repulsive 1D Gases at Higher Branches: Spin-Charge Correlation and Coupled Spin-Chain Model
• Berry connection and quantum geometry in time-dependent systems with instantaneous quantum integrable field theory
• Quantum currents and pair correlation of electrons in a chain of localized dots
• Professor Chen Ping Yang's early significant contributions to mathematical physics
• Achieving one-dimensionality with attractive fermions
• A unified approach to the thermodynamics and quantum scaling functions of one-dimensional strongly attractive $SU(w)$ Fermi Gases
• $n$-body Correlation of Tonks-Girardeau Gas
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
• Exact Spectral Function of One-Dimensional Bose Gases
• Birth and Death in Lineland or A Purely Geometric model of Creation and Annihilation of Particles in Low Dimension
• Transitionless Quantum Driving of the Tomonaga-Luttinger Liquid
• One-particle spectral function singularities in a one-dimensional gas of spin-1/2 fermions with repulsive delta-function interaction
• Impurity in a zero-temperature three-dimensional Fermi gas
• Possibility of hole confinement in the weak coupling regime of one dimensional ising antiferromagnet and the emergence of spin-charge separation in the bulk limit
• Heisenberg Symmetry and Collective Modes of One Dimensional Unitary Correlated Fermions
• Unconventional pairing in few-fermion systems tuned by external confinement
• Structures and proximity effects of inhomogeneous population-imbalanced Fermi gases with pairing interactions
• Necklace Ansatz for strongly repulsive spin mixtures on a ring
• Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement
• Off-shell selfenergy for 1-D Fermi liquids
• Love--Lieb integral equations: applications, theory, approximations, and computation
• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems
• Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains
• Volume-law entanglement entropy of typical pure quantum states
• On the solutions of the $Z_n$-Belavin model with arbitrary number of sites
• Generation of spin currents by a temperature gradient in a two-terminal device
• Electronic quantum wires in extended quasiparticle picture
• Quench Dynamics of Anyon Tonks-Girardeau Gases
• Momentum Evolution Numerics of an Impurity in a Quantum Quench