Regimes of quantum degeneracy in trapped 1D gases

Abstract

We discuss the regimes of quantum degeneracy in a trapped 1D gas and obtain the diagram of states. Three regimes have been identified: the BEC regimes of a true condensate and quasicondensate, and the regime of a trapped gas of Tonks (gas of impenetrable bosons). The presence of a sharp cross-over to the BEC regime requires extremely small interaction between particles. We discuss how to distinguish between true and quasicondensates in phase coherence experiments.

4 pages, 1 eps figure

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Cited by in corpus (520)

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• The 1D interacting Bose gas in a hard wall box
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• A fundamental limit for integrated atom optics with Bose-Einstein condensates
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• Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder
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• Goldstone modes and bifurcations in phase-separated binary condensates at finite temperature
• Wave functions of the super Tonks-Girardeau gas and the trapped 1D hard sphere Bose gas
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• Ground-state properties of interacting two-component Bose gases in a one-dimensional harmonic trap
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• Exact results for one-dimensional disordered bosons with strong repulsion
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• Excitation spectra of many-body systems by linear response: General theory and applications to trapped condensates
• Existence of Long-Range Order for Trapped Interacting Bosons
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• Quasi One-Dimensional Bosons in Three-dimensional Traps: From Strong Coupling to Weak Coupling Regime
• Coherence length of an elongated condensate: a study by matter-wave interferometry
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• Ground-state properties of interacting two-component Bose gases in a hard-wall trap
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• Transport of ultracold Bose gases beyond the Gross-Pitaevskii description
• Thermalization of a quantum Newton's cradle in a one-dimensional quasicondensate
• Thermodynamic behavior of a one-dimensional Bose gas at low temperature
• Behavior of the anomalous correlation function in uniform 2D Bose gas
• Fluctuating and dissipative dynamics of dark solitons in quasi-condensates
• Destruction of interference by many-body interactions in cold atomic Bose gases
• One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein condensates in a trap potential
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Effective one-dimensional dynamics of elongated Bose-Einstein condensates
• Dipolar-Induced Resonance for Ultracold Bosons in a Quasi-1D Optical Lattice
• Coupled superfluidity of binary Bose mixtures in two dimensions
• Two-Particle Interference with Double Twin-Atom Beams
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Extension of the Thomas-Fermi approximation for trapped Bose-Einstein condensates with an arbitrary number of atoms
• Impurities in a one-dimensional Bose gas: the flow equation approach
• Numerical study of localized impurity in a Bose-Einstein condensate
• Tonks-Girardeau and Super Tonks-Girardeau States of a Trapped 1D Spinor Bose Gas
• Preparation of atomic Fock states by trap reduction
• Crossover from one to three dimensions for a gas of hard-core bosons
• Andreev-like reflections with cold atoms
• A density-functional approach to fermionization in the 1D Bose gas
• Quantitative study of quasi-one-dimensional Bose gas experiments via the stochastic Gross-Pitaevskii equation
• Interference pattern of Bose-condensed gas in a 2D optical lattice
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• Anderson localization of a Tonks-Girardeau gas in potentials with controlled disorder
• Low-Dimensional Stochastic Projected Gross-Pitaevskii Equation
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• Ultracold gases far from equilibrium
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• Two-component Bose gases with one-body and two-body couplings
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• Probing the Degree of Coherence through the Full 1D to 3D crossover
• Statics and dynamics of quasi one-dimensional Bose-Einstein condensate in harmonic and dimple trap
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• Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates
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• Quantum Gross-Pitaevskii Equation
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• Dynamics of parametric matter wave amplification
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• A New Look at the Quantum Mechanics of the Harmonic Oscillator
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• Cavity assisted quasiparticle damping in a Bose-Einstein condensate
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• Analytic thermodynamic properties of the Lieb-Liniger gas
• Dark stationary matter-waves via parity-selective evaporation in a Tonks-Girardeau gas
• Control of anomalous diffusion of a Bose polaron
• Collective excitation of Bose-Einstein condensates in the transition region between 3D and 1D
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• Breathing modes of repulsive polarons in Bose-Bose mixtures
• Condensation and quasicondensation in an elongated three-dimensional Bose gas
• Coherent emission of atomic soliton pairs by Feshbach-resonance tuning
• Density distributions for trapped one-dimensional spinor gases
• Trap-induced resonances in controlled collisions of cesium atoms
• FACt: FORTRAN toolbox for calculating fluctuations in atomic condensates
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Temperature dependence of density profiles for a cloud of non-interacting fermions moving inside a harmonic trap in one dimension
• Outcoupling vector solitons from a Bose-Einstein condensate with time-dependent interatomic forces
• Nonlinear Scattering of a Bose-Einstein Condensate on a Rectangular Barrier
• Number distributions for fermions and fermionized bosons in periodic potentials
• Sculpting quasi one-dimensional Bose-Einstein condensate to generate calibrated matter-waves
• Splitting and merging an elongated Bose-Einstein condensate at finite temperature
• Interference of a Tonks-Girardeau Gas on a Ring
• Superfluid toroidal currents in atomic condensates
• Ground states of hard-core bosons in one dimensional periodic potentials
• Particle-number scaling of the quantum work statistics and Loschmidt echo in Fermi gases with time-dependent traps
• Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap
• Tan's contact in a cigar-shaped dilute Bose gas
• Clusterization of weakly-interacting bosons in one dimension: an analytic study at zero temperature
• Stochastic Simulation of a finite-temperature one-dimensional Bose-Gas: from Bogoliubov to Tonks-Girardeau regime
• Effective equations for matter-wave gap solitons in higher-order transversal states
• Ground state properties of a one-dimensional strongly-interacting Bose-Fermi mixture in a double-well potential
• Stability of spinor Fermi gases in tight waveguides
• Quantum fluctuation effects on the quench dynamics of thermal quasicondensates
• Autolocalization in a dipolar exciton system
• Interplay of Density and Phase Fluctuations in Ultracold One-dimensional Bose Gases
• Cooling phonon modes of a Bose condensate with uniform few body losses
• Expansion of a Bose-Einstein Condensate in an atomic waveguide
• Effective self-similar expansion for the Gross-Pitaevskii equation
• On the long-term stability of space-time crystals
• Nonlinear standing waves in an array of coherently coupled Bose-Einstein condensates
• Quantum Kinetic Theory of Collisionless Superfluid Internal Convection
• Artificial atoms from cold bosons in one dimension
• Symplectic tomography of ultracold gases in tight-waveguides
• Mott-insulator phase of coupled 1D atomic gases in a 2D optical lattice
• Self-trapping of Bose-Einstein condensates expanding into shallow optical lattices
• Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap
• Spontaneous squeezing of a vortex in an optical lattice
• Dipole mode of a strongly correlated one-dimensional Bose gas in a split trap: parity effect and barrier renormalization
• Interference between a large number of independent Bose-Einstein condensates
• Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas
• Exact Dynamics of Multicomponent Bose-Einstein Condensates in Optical Lattices in One, Two and Three Dimensions
• Momentum flux density, kinetic energy density and their fluctuations for one-dimensional confined gases of non-interacting fermions
• Phase diffusion of Bose-Einstein Condensation close to zero temperature
• Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
• One-dimensional Bose gas driven by a slow time-dependent harmonic trap
• Quantum gray solitons in confining potentials
• Lieb-Liniger gas in a constant force potential
• Thermally isolated Luttinger liquids with noisy Hamiltonians
• Thermally activated phase slips of one-dimensional Bose gases in shallow optical lattices
• Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate
• Reply to `Comment on "Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation"'
• Dynamics of polaron formation in 1D Bose gases in the strong-coupling regime
• One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large $N$
• Quantum fluctuations in one-dimensional supersolids
• Theory for Bose-Einstein condensation of light in nano-fabricated semiconductor microcavities
• Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions
• Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak to the strong interaction limits
• Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
• Macroscopic quantum escape of Bose-Einstein condensates: Analysis of experimentally realizable quasi-one-dimensional traps
• Rotational bosonic current in a quasi-condensate confined in an optical toroidal trap
• Two-body anticorrelation in a harmonically trapped ideal Bose gas
• Universal solutions for interacting bosons in one-dimensional harmonic traps
• Effects of interatomic collisions on atom laser outcoupling
• Density ripples in expanding low-dimensional gases as a probe of correlations
• Dimensional Crossover in a Quantum Gas of Light
• Quantum many-body thermal machines enabled by atom-atom correlations
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Quasi one-dimensional Bose-Einstein condensate in gravito-optical surface trap
• A model study on a pair of trapped particles interacting with an arbitrary effective range
• Two-stream instability in quasi-one-dimensional Bose-Einstein condensates
• Simulating and detecting artificial magnetic fields in trapped atoms
• Density waves in quasi-one-dimensional atomic gas mixture of boson and two-component fermion
• Pair correlation of atoms scattered from colliding Bose-Einstein quasicondensates
• Density-density correlation and interference mechanism for two initially independent Bose-Einstein condensates
• Interaction quench of dipolar bosons in a one-dimensional optical lattice
• Supersolid induced by dislocations with superfluid cores (Review article)
• Photon BEC with Thermo-Optic Interaction at Dimensional Crossover
• Position- and momentum-space two-body correlations in a weakly interacting trapped condensate
• Excitation spectrum and supersolidity of a two-leg bosonic ring ladder
• Theory of Resonant Raman Scattering in One Dimensional Electronic systems
• K-matrix formulation of two-particle scattering in a wave guide in the presence of one-dimensional spin-orbit coupling
• Coherent Control of Trapped Bosons
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Mesoscopic density grains in the 1d interacting Bose gas from the exact Yang-Yang solution
• Reflection of a Lieb-Liniger wave packet from the hard-wall potential
• Mapping a cloud of ultracold atoms onto a miniature storage ring
• Symmetries and Correlations in Strongly Interacting One-dimensional Quantum Gases
• Numerical Simulation on Tunnel Splitting of Bose-Einstein Condensate in Multi-Well Potentials
• Controllable Persistent Atom Current of Bose-Einstein Condensates in an Optical Lattice Ring
• One-dimensional atomic superfluids as a model system for quantum thermodynamics
• The single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas
• Light scattering in inhomogeneous Tomonaga-Luttinger liquids
• Ground state properties of a Tonks-Girardeau Gas in a periodic potential
• Controlling spin motion and interactions in a one-dimensional Bose gas
• A finite temperature study of ideal quantum gases in the presence of one dimensional quasi-periodic potential
• Tomography of correlation functions for ultracold atoms via time-of-flight images
• Berry phase for a Bose gas on a one-dimensional ring
• How creating one additional well can generate Bose-Einstein condensation
• The lowest scattering state of one-dimensional Bose gas with attractive interactions
• On the fluctuations of the number of atoms in the condensate
• A model study on atom-atom interactions with large scattering length in quasi-two dimensional traps
• The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction
• Absorption Line Shape of a One-Dimensional Bose Gas
• The granularity of weakly occupied bosonic fields beyond the local density approximation
• Ground State Properties of Anti-Ferromagnetic Spinor Bose gases in One Dimension
• The improved Gaussian approximation Calculation of Bogoliubov Mode in One Dimensional Bosonic Gas
• Observation of Many-body Dynamical Delocalization in a Kicked Ultracold Gas
• Anderson localization of Bogoliubov excitations on quasi-1D strips
• Phase-space stochastic quantum hydrodynamics for interacting Bose gases
• A scanning quantum cryogenic atom microscope at 6 K
• Phase separation in the trapped spinor gases with anisotropic spin-spin interaction
• Full distribution of the superfluid fraction and extreme value statistics in a one dimensional disordered Bose gas
• Statistical properties of the momentum occupation numbers of the Tonks-Girardeau gas in a harmonic trap
• Comment on "Strongly interacting one-dimensional Bose-Einstein condensates in harmonic traps"
• High temperature superconductivity: Cooper pairs in trap
• Dark solitons in a trapped gas of long-range interacting bosons
• Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
• Generalized wave-packet model for studying coherence of matter-wave interferometers
• Thermodynamics of inhomogenous imperfect quantum gases in harmonic traps
• The Functional Integration and the Two-Point Correlation Function of the One-Dimensional Bose Gas in the Harmonic Potential
• Beyond Gross-Pitaevskii Mean Field Theory
• Seeking better times: atomic clocks in the generalized Tonks-Girardeau regime
• Atomic twin-beams and violation of a motional-state Bell inequality from a phase-fluctuating quasi-condensate source
• Effective temperature of a superfluid flowing in a random potential
• Quasicondensation reexamined
• Non-equilibrium dynamics of an ultracold Bose gas under a multi-pulsed quantum quench in interaction
• Atom chips and one-dimensional Bose gases
• Decay of the Kohn mode in hydrodynamic regime
• Quantum backreaction in an analog black hole
• Density, phase and coherence properties of a low dimensional Bose-Einstein systems moving in a disordered potential
• Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
• Temporal correlations of elongated Bose gases at finite temperature
• Gap solitons of a super-Tonks-Girardeau gas in a one-dimensional periodic potential
• Normal and generalized Bose condensation in traps: One dimensional examples
• Control, competition and coexistence of effective magnetic orders by interactions in Bose-Einstein condensates with high-Q cavities
• Cold Atoms in Driven Optical Lattices
• Time-of-Flight Signatures of Bosons in a Double Well
• Exact density oscillations in the Tonks-Girardeau gas and their optical detection
• Dynamics and Stability of Bose-Einstein Condensates: the Nonlinear Schrodinger Equation with Periodic Potential
• Collective modes of trapped spinor Bose condensates
• Stochastic method for calculating the ground state reduced density matrix of trapped Bose particles in one dimension
• Enhanced performance of sudden-quench quantum Otto cycles via multi-parameter control
• A toy model for the dipolar-induced resonance in quasi-one-dimensional systems
• Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement
• Confinement-induced resonance from the generalized Gross-Pitaevskii equations
• Particle-hole origin of thermal beating in dipole-compression modes of a 1D Bose gas