Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
arXiv:1501.01896 · doi:10.1103/PhysRevLett.114.125302
Abstract
We analyze free expansion of a trapped one-dimensional Bose gas after a sudden release from the confining trap potential. By using the stationary phase and local density approximations, we show that the long-time asymptotic density profile and the momentum distribution of the gas are determined by the initial distribution of Bethe rapidities (quasimomenta) and hence can be obtained from the solutions to the Lieb-Liniger equations in the thermodynamic limit. For expansion from a harmonic trap, and in the limits of very weak and very strong interactions, we recover the self-similar scaling solutions known from the hydrodynamic approach. For all other power-law traps and arbitrary interaction strengths, the expansion is not self-similar and shows strong dependence of the density profile evolution on the trap anharmonicity. We also characterize dynamical fermionization of the expanding cloud in terms of correlation functions describing phase and density fluctuations.
arXiv commentFinal published version with modified title and a couple of other minor changes. 5 pages, 2 figures, and Supplemental Material
References in corpus (37)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Bose-Einstein condensation of atoms in a uniform potential
- Regimes of quantum degeneracy in trapped 1D gases
- Time evolution of local observables after quenching to an integrable model
- Evolution of a Bose-condensed gas under variations of the confining potential
- Collective oscillations of a 1D trapped Bose gas
- Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
- Bose Einstein Condensate in a Box
- Yang-Yang thermodynamics on an atom chip
- Stability and phase coherence of trapped 1D Bose gases
- Pair correlations in a finite-temperature 1D Bose gas
- Constructing the generalized Gibbs ensemble after a quantum quench
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
- Fermionization in an expanding 1D gas of hard-core bosons
- Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
- Interaction quenches in the 1D Bose gas
- Exact time evolution of space- and time-dependent correlation functions after an interaction quench in the 1D Bose gas
- Correlations in an expanding gas of hard-core bosons
- Quench-induced breathing mode of one-dimensional Bose gases
- Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables
- Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
- Sudden expansion of Mott insulators in one dimension
- Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
- Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
- Spatial nonlocal pair correlations in a repulsive 1D Bose gas
- Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
- Yang-Yang thermometry and momentum distribution of a trapped one-dimensional Bose gas
- Fermionisation dynamics of a strongly interacting 1D Bose gas after an interaction quench
- Momentum distribution of a trapped Fermi gas with large scattering length
- Violation of self-similarity in the expansion of a 1D Bose gas
- Reply to `Comment on "Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation"'
Cited by in corpus (41)
- Solvable Hydrodynamics of Quantum Integrable Systems
- Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
- Observation of Dynamical Fermionization
- Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
- Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
- The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
- Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
- Non-Equilibrium Mass Transport in the 1D Fermi-Hubbard Model
- Breakdown of Tan's relation in lossy one-dimensional Bose gases
- Separation of Timescales in a Quantum Newton's Cradle
- Finite-temperature hydrodynamics for one-dimensional Bose gases: Breathing mode oscillations as a case study
- Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases
- Expansion potentials for exact far-from-equilibrium spreading of particles and energy
- Generalized hydrodynamics: a perspective
- Solving the quantum many-body problem via correlations measured with a momentum microscope
- Emergent Pauli blocking in a weakly interacting Bose gas
- The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
- Relaxation of Bosons in One Dimension and the Onset of Dimensional Crossover
- Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices
- Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
- Probing the local rapidity distribution of a 1D Bose gas
- Unveiling hidden structure of many-body wavefunctions of integrable systems via sudden expansion experiments
- Analytic thermodynamic properties of the Lieb-Liniger gas
- Dynamical fermionization in a one-dimensional Bose-Fermi mixture
- One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large
- Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
- Efficiency of fermionic quantum distillation
- Exact spectral function of the Tonks-Girardeau gas at finite temperature
- Dynamical fermionization in one-dimensional spinor gases at finite temperature
- The Theory of Generalised Hydrodynamics for the One-dimensional Bose Gas
- Experimental Investigation of a Bipartite Quench in a 1D Bose gas
- Quantum Joule Expansion of One-Dimensional Systems
- Dynamical symmetry and pair tunneling in a one-dimensional Bose gas colliding with a mobile impurity
- One-dimensional Fermi polaron after a kick: two-sided singularity of the momentum distribution, Bragg reflection and other exact results
- Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
- Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
- Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
- Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials
- Expansion of one-dimensional spinor gases from power-law traps