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

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Cited by in corpus (352)

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