One-dimensional mixtures of several ultracold atoms: a review

Abstract

Recent theoretical and experimental progress on studying one-dimensional systems of bosonic, fermionic, and Bose-Fermi mixtures of a few ultracold atoms confined in traps is reviewed in the broad context of mesoscopic quantum physics. We pay special attention to limiting cases of very strong or very weak interactions and transitions between them. For bosonic mixtures, we describe the developments in systems of three and four atoms as well as different extensions to larger numbers of particles. We also briefly review progress in the case of spinor Bose gases of a few atoms. For fermionic mixtures, we discuss a special role of spin and present a detailed discussion of the two- and three-atom cases. We discuss the advantages and disadvantages of different computation methods applied to systems with intermediate interactions. In the case of very strong repulsion, close to the infinite limit, we discuss approaches based on effective spin chain descriptions. We also report on recent studies on higher-spin mixtures and inter-component attractive forces. For both statistics, we pay particular attention to impurity problems and mass imbalance cases. Finally, we describe the recent advances on trapped Bose-Fermi mixtures, which allow for a theoretical combination of previous concepts, well illustrating the importance of quantum statistics and inter-particle interactions. Lastly, we report on fundamental questions related to the subject which we believe will inspire further theoretical developments and experimental verification.

References in corpus (317)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• Feshbach Resonances in Ultracold Gases
• Nonequilibrium dynamics of closed interacting quantum systems
• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Universality in Few-body Systems with Large Scattering Length
• Quantum many-body systems out of equilibrium
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• The dynamics of component separation in a binary mixture of Bose-Einstein condensates
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
• Bose-Einstein condensation of atoms in a uniform potential
• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Regimes of quantum degeneracy in trapped 1D gases
• Energetics of a strongly correlated Fermi gas
• Self-bound quantum droplets in atomic mixtures
• Quantum dynamics of cold trapped ions, with application to quantum computation
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Deterministic Preparation of a Tunable Few-Fermion System
• Efimov Physics: a review
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
• A one-dimensional liquid of fermions with tunable spin
• Confinement induced molecules in a 1D Fermi gas
• Fermi-Bose quantum degenerate ^40 K - ^87 Rb mixture with attractive interaction
• Quantum dynamics of impurities in a 1D Bose 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
• Binary Bose-Einstein Condensate Mixtures in Weakly and Strongly Segregated Phases
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
• Fermionization of two distinguishable fermions
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Stability and phase coherence of trapped 1D Bose gases
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Pair correlations in a finite-temperature 1D Bose gas
• Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
• Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
• Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
• Few-body physics with ultracold atomic and molecular systems in traps
• Parity Effect in Ground State Energies of Ultrasmall Superconducting Grains
• Statistically induced Phase Transitions and Anyons in 1D Optical Lattices
• Antiferromagnetic Heisenberg Spin Chain of a Few Cold Atoms in a One-Dimensional Trap
• Strongly interacting confined quantum systems in one dimension
• Pairing in few-fermion systems with attractive interactions
• Dipolar gases in quasi one-dimensional geometries
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Exact solution of double-delta function Bose gas through interacting anyon gas
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
• Dipolar Quantum Mixtures of Erbium and Dysprosium Atoms
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Counting atoms using interaction blockade in an optical superlattice
• Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement
• Finite one dimensional impenetrable Bose systems: Occupation numbers
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons
• Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
• All-Optical Formation of Quantum Degenerate Mixtures
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Ground-state properties of few dipolar bosons in a quasi-one-dimensional harmonic trap
• Stability and collective excitations of a two-component Bose-condensed gas: a moment approach
• Hartree-Fock treatment of the two-component Bose-Einstein condensate
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
• Anyon-fermion mapping and applications to ultracold gases in tight waveguides
• High-momentum tail in the Tonks gas under harmonic confinement
• Quantum Bose-Bose droplets at a dimensional crossover
• Strongly Interacting Isotopic Bose-Fermi Mixture Immersed in a Fermi Sea
• Cooling and thermometry of atomic Fermi gases
• The liquid state of one-dimensional Bose mixtures: a quantum Monte-Carlo study
• Quantum spin transistor with a Heisenberg spin chain
• Strong-coupling ansatz for the one-dimensional Fermi gas in a harmonic potential
• Fermionization and bosonization of expanding 1D anyonic fluids
• Broad Feshbach resonance in the 6Li-40K mixture
• Dipolar Molecules in Optical Lattices
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Fermionization of two-component few-fermion systems in a one-dimensional harmonic trap
• Evidence for the super Tonks-Girardeau gas
• Three attractively interacting fermions in a harmonic trap: Exact solution, ferromagnetism, and high-temperature thermodynamics
• Pathway from condensation via fragmentation to fermionization of cold bosonic systems
• Few interacting fermions in one-dimensional harmonic trap
• Ultracold Few-Boson Systems in a Double-Well Trap
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
• Universality in ultradilute liquid Bose-Bose mixtures
• Long-time behavior of many-particle quantum decay
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Composite fermionization of 1-D Bose-Bose mixtures
• Quasi-one-dimensional Bose gases with large scattering length
• Coherent Interaction of a Single Fermion with a Small Bosonic Field
• Theory of spinor Fermi and Bose gases in tight atom waveguides
• Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
• Two atoms in an anisotropic harmonic trap
• Excitation spectrum and instability of a two-species Bose-Einstein condensate
• Observation of a Degenerate Fermi Gas Trapped by a Bose-Einstein Condensate
• 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
• Exact ground state of finite Bose-Einstein condensates on a ring
• Effective spin-chain model for strongly interacting one-dimensional atomic gases with an arbitrary spin
• Exact results of the ground state and excitation properties of a two-component interacting Bose system
• The 1D interacting Bose gas in a hard wall box
• Coherent molecule formation in anharmonic potentials near confinement-induced resonances
• Two component interacting bosons: 1-d exact results
• Distinguishability, degeneracy and correlations in three harmonically trapped bosons in one-dimension
• Quantum Impurity in a One-dimensional Trapped Bose Gas
• Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture
• Symmetries of Three Harmonically-Trapped Particles in One Dimension
• Two super Tonks-Girardeau states of a trapped 1D spinor Fermi gas
• Ground-state properties of one-dimensional anyon gases
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Non-divergent pseudo-potential treatment of spin-polarized fermions under 1D and 3D harmonic confinement
• How does an interacting many-body system tunnel through a potential barrier to open space?
• Exact Diagonalization of the Hamiltonian for Trapped Interacting Bosons
• Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
• Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
• Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases
• Tunneling theory of two interacting atoms in a trap
• Quantum magnetism in strongly interacting one-dimensional spinor Bose systems
• Trapped one-dimensional ideal Fermi gas with a single impurity
• One-dimensional three-boson problem with two- and three-body interactions
• Magnetism in strongly interacting one-dimensional quantum mixtures
• Ferromagnetic spin correlations in a few-fermion system
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• Repulsive Fermi Polarons and Their Induced Interactions in Binary Mixtures of Ultracold Atoms
• Crossover between few and many fermions in a harmonic trap
• Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
• Thermal suppression of phase separation in condensate mixtures
• Pairing in a system of a few attractive fermions in a harmonic trap
• One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
• Construction of analytical many body wave functions for correlated bosons in a harmonic trap
• Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
• A dipolar self-induced bosonic Josephson junction
• Noise Correlations in low-dimensional systems of ultracold atoms
• Two-flavor mixture of a few fermions of different mass in a one-dimensional harmonic trap
• Exact diagonalization of the one dimensional Bose-Hubbard model with local 3-body interactions
• Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment
• Superfluid pairing between fermions with unequal masses
• Spectral functions of strongly interacting isospin-1/2 bosons in one dimension
• Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension
• Fidelity of fermionic atom-number states subjected to tunneling decay
• Sharp crossover from composite fermionization to phase separation in mesoscopic mixtures of ultracold bosons
• Two-component few-fermion mixtures in a one-dimensional trap: numerical versus analytical approach
• Momentum distribution for a one-dimensional trapped gas of hard-core bosons
• Momentum distributions and numerical methods for strongly interacting one-dimensional spinor gases
• Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides
• Density-functional theory of strongly correlated Fermi gases in elongated harmonic traps
• Phase Separation Dynamics Induced by an Interaction Quench of a Correlated Fermi-Fermi Mixture in a Double Well
• Quantum gas mixtures in different correlation regimes
• Universal bound states of one-dimensional bosons with two- and three-body attractions
• Low-density, one-dimensional quantum gases in a split trap
• Noise Correlations in one-dimensional systems of ultra-cold fermions
• One-dimensional Fermi gas with a single impurity in a harmonic trap: Perturbative description of the upper branch
• Surmounting the sign problem in non-relativistic calculations: a case study with mass-imbalanced fermions
• Effective-interaction approach to the many-boson problem
• Excitations of Few-Boson Systems in 1-D Harmonic and Double Wells
• Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
• Three s-wave interacting fermions under anisotropic harmonic confinement: Dimensional crossover of energetics and virial coefficients
• Reentrant behavior of the breathing-mode-oscillation frequency in a one-dimensional Bose gas
• Evaporative cooling of a small number of atoms in a single-beam microscopic dipole trap
• Pairing of few Fermi atoms in one dimension
• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: I. One, Two, and Three Particles
• A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap
• Fermionization of a bosonic gas under highly-elongated confinement: A diffusion quantum Monte Carlo study
• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
• Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Goldstone modes and bifurcations in phase-separated binary condensates at finite temperature
• Born-Oppenheimer study of two-component few-particle systems under one-dimensional confinement
• Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
• One particle in a box: the simplest model for a Fermigas in the unitary limit
• Correlated Tunneling Dynamics of an Ultracold Fermi-Fermi Mixture Confined in a Double-Well
• Strongly interacting mesoscopic systems of anyons in one dimension
• Exponentially decaying correlations in a gas of strongly interacting spin-polarized 1D fermions with zero-range interactions
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Fractional energy states of strongly-interacting bosons in one dimension
• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap
• Few-fermion thermometry
• One-dimensional multicomponent fermions with delta function interaction in strong and weak coupling limits: Two-component Fermi gas
• One-Dimensional Traps, Two-Body Interactions, Few-Body Symmetries: II. $N$ Particles
• Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Exploring the few- to many-body crossover using cold atoms in one dimension
• Engineering quantum magnetism in one-dimensional trapped Fermi gases with p-wave interactions
• Entanglement induced interactions in binary mixtures
• Exact dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential
• SU(N) Fermions in a One-Dimensional Harmonic Trap
• The fermionic limit of the delta-function Bose gas: a pseudopotential approach
• Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
• The role of anisotropy in dipolar bosons in triple-well potentials
• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
• Collapse and revival dynamics of superfluids of ultracold atoms in optical lattices
• Tunneling dynamics of two interacting one-dimensional particles
• Pair tunneling of two atoms out of a trap
• A geometric wave function for few interacting bosons in a harmonic trap
• CONAN -- the cruncher of local exchange coefficients for strongly interacting confined systems in one dimension
• Accelerating the convergence of exact diagonalization with the transcorrelated method: Quantum gas in one dimension with contact interactions
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Tunneling Theory for Tunable Open Quantum Systems of Ultracold Atoms in One-Dimensional Traps
• Bose-Fermi Mapping and Multi-Branch Spin Chain Model for Strongly Interacting Quantum Gases in One-Dimension: Dynamics and Collective Excitations
• A density-functional approach to fermionization in the 1D Bose gas
• Bound states of Dipolar Bosons in One-dimensional Systems
• Probing Ferromagnetic Order in Few-Fermion Correlated Spin-Flip Dynamics
• Dimer-dimer zero crossing and dilute dimerized liquid in a one-dimensional mixture
• Integrable families of hard-core particles with unequal masses in a one-dimensional harmonic trap
• Four fermions in a one-dimensional harmonic trap: Accuracy of a variational-ansatz approach
• Multicomponent Strongly Interacting Few-Fermion Systems in One Dimension
• Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions
• Symmetry, winding number and topological charge of vortex solitons in discrete-symmetry media
• Bose-Fermi variational theory of the BEC-Tonks crossover
• Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations
• Ultracold few fermionic atoms in needle-shaped double wells: spin chains and resonating spin clusters from microscopic Hamiltonians emulated via antiferromagnetic Heisenberg and t-J models
• Simulating strongly correlated multiparticle systems in a truncated Hilbert space
• Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches
• Controlling the Velocities and Number of Emitted Particles in the Tunneling to Open Space Dynamics
• Small mass- and trap-imbalanced two-component Fermi systems
• Numerically exact approach to few-body problems far from a perturbative regime
• Tunable self-assembled spin chains of strongly interacting cold atoms
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Spectral properties and breathing dynamics of a few-body Bose-Bose mixture in a 1D harmonic trap
• Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms
• Binding between two-component bosons in one dimension
• Harmonically trapped two-atom systems: Interplay of short-range s-wave interaction and spin-orbit coupling
• Equation of state of the one- and three-dimensional Bose-Bose gases
• Solvable Model of a Mixture of Bose-Einstein Condensates
• Two Cold Atoms in a Time-Dependent Harmonic Trap in One Dimension
• Harmonically trapped Bose-Bose mixtures: a quantum Monte Carlo study
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• Zero-Temperature Equation of State and Phase Diagram of Repulsive Fermionic Mixtures
• Analytical and numerical studies of Bose-Fermi mixtures in a one-dimensional harmonic trap
• Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps
• Infinite Barriers and Symmetries for a Few Trapped Particles in One Dimension
• Discretized vs. continuous models of p-wave interacting fermions in 1D
• Strongly Interacting One-Dimensional Systems with Small Mass Imbalance
• Few-boson tunneling dynamics of strongly correlated binary mixtures in a double-well
• Efficient construction of many-body Fock states having the lowest energies
• Angular Pseudomomentum Theory for the Generalized Nonlinear Schrödinger Equation in Discrete Rotational Symmetry Media
• Quench Dynamics of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction and Repulsion
• Density profile of interacting Fermions in a one-dimensional optical trap
• Mesoscopic superpositions of Tonks-Girardeau states and the Bose-Fermi mapping
• Truncated Calogero-Sutherland models
• Deviations from Off-Diagonal Long-Range Order in One-Dimensional Quantum Systems
• Spin-Orbit Coupled One-Dimensional Fermi Gases with Infinite Repulsion
• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• Quantum dynamics of two bosons in an anharmonic trap: Collective vs internal excitations
• Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling
• An interpolatory ansatz captures the physics of one-dimensional confined Fermi systems
• Effective three-body interactions for bosons in a double-well confinement
• Optimized Configuration Interaction Approach for Trapped Multiparticle Systems Interacting Via Contact Forces
• Contact and Structure Factor for Bosonic and Fermionic Mixtures
• Permutation symmetry in spinor quantum gases: selection rules, conservation laws, and correlations
• Exact ordering of energy levels for one-dimensional interacting Fermi gases with $SU(n)$ symmetry
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Effective two-mode description of a few ultra-cold bosons in a double-well potential
• An eccentrically perturbed Tonks-Girardeau gas
• Diffusion in a system of a few distinguishable fermions in a one-dimensional double-well potential
• Two-point momentum correlations of few ultracold quasi-one-dimensional trapped fermions: Diffraction patterns
• Interatomic interaction effects on second-order momentum correlations and Hong-Ou-Mandel interference of double-well-trapped ultracold fermionic atoms
• State engineering of impurities in a lattice by coupling to a Bose gas
• Dynamics of a few interacting bosons escaping from an open well
• Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
• Intercomponent correlations in attractive one-dimensional mass-imbalanced few-body mixtures
• Ground state properties of a one-dimensional strongly-interacting Bose-Fermi mixture in a double-well potential
• Parity effect in a mesoscopic Fermi gas
• Correlation properties of a three-body bosonic mixture in a harmonic trap
• Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap
• Ground-state entanglement of spin-1 bosons undergoing superexchange interactions in optical superlattices
• Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap
• Inhomogeneous state of few-fermion superfluids
• Breakdown of the scale invariance in the vicinity of Tonks-Girardeau gas
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Hard-core Bose-Fermi mixture in one-dimensional split traps
• Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement
• Low-energy excitations of a boson pair in a double-well trap
• Exploring exchange mechanisms with a cold atom gas
• Few-Boson Processes in the Presence of an Attractive Impurity under One-Dimensional Confinement
• Self-bound many-body states of quasi-one-dimensional dipolar Fermi gases: Exploiting Bose-Fermi mappings for generalized contact interactions
• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Momentum correlations of a few ultra-cold bosons escaping from an open well
• Slightly imbalanced system of a few attractive fermions in a one-dimensional harmonic trap
• Ground-state energy, density profiles, and momentum distribution of attractively interacting 1D Fermi gases with hard-wall boundaries: a Monte Carlo study
• Exactly solvable quantum few-body systems associated with the symmetries of the three-dimensional and four-dimensional icosahedra
• Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension
• Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap
• Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
• One-dimensional Repulsive Fermi Gas in a Tunable Periodic Potential
• Spin-incoherent Luttinger liquid of one-dimensional spin-1 Tonks-Girardeau Bose gas: Spin-dependent properties
• Bunching-antibunching crossover in harmonically trapped few-body Bose-Fermi mixtures
• Tuning an effective spin chain of three strongly interacting one-dimensional fermions with the transversal confinement
• Ground-states of spin-1 bosons in asymmetric double-wells
• Quench dynamics of dipolar fermions in a one-dimensional harmonic trap
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• A complex Langevin approach to ultracold fermions
• Experimentally accessible invariants encoded in interparticle correlations of harmonically trapped ultra-cold few-fermion mixtures
• Identical Wells, Symmetry Breaking, and the Near-Unitary Limit
• Spin dynamics of large-spin (spinor) fermions in a harmonic trap
• Creating Entanglement Using Integrals of Motion
• Mixture of Tonks-Girardeau gas and Fermi gas in one-dimensional optical lattices
• Emergence of junction dynamics in a strongly interacting Bose mixture
• Localization-delocalization transition of dipolar bosons in a four-well potential
• Third-order momentum correlation interferometry maps for entangled quantal states of three singly trapped massive ultracold fermions
• Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps
• Dipolar particles in a double-trap confinement: Response to tilting the dipolar orientation
• Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps
• Two-boson Correlations in Various One-dimensional Traps
• Exact two-body solutions and Quantum defect theory of two dimensional dipolar quantum gas
• Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides
• The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction
• Ground State Properties of Anti-Ferromagnetic Spinor Bose gases in One Dimension
• Comment on "Strongly interacting one-dimensional Bose-Einstein condensates in harmonic traps"
• The von Neumann entanglement entropy for Wigner-crystal states in one dimensional N-particle systems

Cited by in corpus (108)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Quantum mixtures of ultracold gases of neutral atoms
• Bose-Fermi dualities for arbitrary one-dimensional quantum systems in the universal low energy regime
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Producing and storing spin-squeezed states and Greenberger-Horne-Zeilinger states in a one-dimensional optical lattice
• Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
• Impurities in a one-dimensional Bose gas: the flow equation approach
• Magnetic impurity in a one-dimensional few-fermion system
• In-medium bound states of two bosonic impurities in a one-dimensional Fermi gas
• Static and dynamic properties of a few spin $1/2$ interacting fermions trapped in an harmonic potential
• Analytical treatment of the interaction quench dynamics of two bosons in a two-dimensional harmonic trap
• Variational Quantum Eigensolver for SU($N$) Fermions
• Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions
• Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
• Signatures of quantum chaos in low-energy mixtures of few fermions
• Probing the edge between integrability and quantum chaos in interacting few-atom systems
• Quantum droplets with particle imbalance in one-dimensional optical lattices
• Phase separation of a Bose-Bose mixture: impact of the trap and particle number imbalance
• Reduced density matrix approach to ultracold few-fermion systems in one dimension
• Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one
• A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D
• Thermometry by correlated dephasing of impurities in a 1D Fermi gas
• Dark solitons revealed in Lieb-Liniger eigenstates
• Exactly solvable model of two interacting Rydberg-dressed atoms confined in a two-dimensional harmonic trap
• Exact solution for $SU(2)$-symmetry breaking bosonic mixtures at strong interactions
• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
• Artificial atoms from cold bosons in one dimension
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Engineering impurity Bell states through coupling with a quantum bath
• Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
• Quantum chaos in interacting Bose-Bose mixtures
• Learning the Fuzzy Phases of Small Photonic Condensates
• Variational ansatz for $p$-wave fermions confined in a one-dimensional harmonic trap
• Two component quantum walk in one-dimensional lattice with hopping imbalance
• Solvable model of a generic driven mixture of trapped Bose-Einstein condensates and properties of a many-boson Floquet state at the limit of an infinite number of particles
• Two-particle bound states on a lattice
• Insulator phases of a mixture of spinor fermions and hard-core bosons
• Finite temperature contact for SU(2) fermions trapped in a 1D harmonic confinement
• Ground-state properties of dilute spinless fermions in fractional dimensions
• Universality of excited three-body bound states in one dimension
• Symmetry oscillations in strongly interacting one-dimensional mixtures
• The dynamics of digits: Calculating pi with Galperin's billiards
• Atomic boson-fermion mixtures in 1D box potentials: Few-body and mean-field many-body analyses
• Comparison of renormalized interactions using one-dimensional few-body systems as a testbed
• Geometry-induced entanglement in a mass-imbalanced few-fermion system
• Emergence of a Bose polaron in a small ring threaded by the Aharonov-Bohm flux
• Spin-orbit coupling in the presence of strong atomic correlations
• Miscibility of Binary Bose-Einstein Condensates with $p$-wave Interaction
• Unconventional pairing in few-fermion systems at finite temperature
• Quantum-granularity effect in the formation of supermixed solitons in ring lattices
• Machine learning one-dimensional spinless trapped fermionic systems with neural-network quantum states
• Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
• Spin-selective insulators in Bose-Fermi mixtures
• Few-body perspective on fermionic pairing in one spatial dimension
• Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
• Rabi-resonant behavior of periodically-driven correlated fermion systems
• Stable pair liquid phase in fermionic systems
• Effects Beyond Center-of-Mass Separability in a Trapped Bosonic Mixture: Exact Results
• Dynamical properties of a few mass-imbalanced ultra-cold fermions confined in a double-well potential
• Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation
• Quantum correlations and spatial localization in trapped one-dimensional ultra-cold Bose-Bose-Bose mixtures
• Two ultracold highly magnetic atoms in a one-dimensional harmonic trap
• Bose-like few-fermion systems
• Effective approaches to the dynamical properties of two distinguishable Bose polarons
• Fermionization of a Few-Body Bose System Immersed into a Bose-Einstein Condensate
• Fragmentation of a trapped bosonic mixture
• Fundamental limitations of the eigenvalue continuation approach
• Efimov-like physics in fraction-dimensional Bose systems with three-body interaction
• Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
• Thermodynamics of Statistical Anyons
• Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
• Correlation Effects in a Trapped Bose-Fermi Mixture: Exact Results
• Exact crystalline solution for a one-dimensional few-boson system with point interaction
• Fragmentation of a trapped multiple-species bosonic mixture
• Sudden quench of harmonically trapped mass-imbalanced fermions
• Correlated decoherence and thermometry with mobile impurities in a 1D Fermi gas
• Effects of Efimov states on quench dynamics in a three-boson trapped system
• Nonuniform Bose-Einstein condensate. I. An improvement of the Gross-Pitaevskii method
• Effective two- and three-body interactions between dressed impurities in a tilted double-well potential
• Graded-index optical fiber emulator of an interacting three-atom system: illumination control of particle statistics and classical non-separability
• Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well
• Exotic Superfluid with Emergent flux in a one-dimensional Bose-Fermi mixture
• N-body linear force law allowing analytic solutions
• Effective theory for strongly attractive one-dimensional fermions
• From spontaneous to explicit symmetry breaking in a finite-sized system: Bosonic bound states of an impurity
• Hartree-Fock approximation for bosons with symmetry-adapted variational wave functions
• Magnon Nesting in Driven Two-Dimensional Quantum Magnets
• Few-body bound states of bosonic mixtures in two-dimensional optical lattices
• Breathing dynamics of the Bose polaron in a species-selective harmonic trap
• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems
• Few strongly interacting fermions of different mass driven in the vicinity of a critical point
• Several fermions strongly interacting with a heavy mobile impurity in a one-dimensional harmonic trap
• Lieb-Mattis ordering theorem of electronic energy levels in the thermodynamic limit
• Impact of dark states on the stationary properties of quantum particles with off-centered interactions in one dimension
• Symmetry oscillations sensitivity to SU(2)-symmetry breaking in quantum mixtures
• Impurity immersed in a two-component few-fermion mixture in a one-dimensional harmonic trap
• Extreme dynamics and relaxation of quantum gases: A hydrodynamic approach
• Fragmentation of identical and distinguishable bosons' pairs and natural geminals of a trapped bosonic mixture
• Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement
• Necklace Ansatz for strongly repulsive spin mixtures on a ring
• Mass-imbalance effect on the cluster formation in a one-dimensional Fermi gas with coexistent $s$- and $p$-wave interactions
• From three-body resonances to bound states in a continuum: pole trajectories
• Nonlinear speed-ups in ultracold quantum gases
• On the direct diagonalization method for a few particles trapped in harmonic potentials
• Formation of Complex Discrete Time Crystals with Ultracold Atoms