Expansion of one-dimensional spinor gases from power-law traps
arXiv:2505.05186 · doi:10.1103/clxm-5yd9
Abstract
Free expansion following the removal of axial confinement represents a fundamental nonequilibrium scenario in the study of many-body ultracold gases. Using the stationary phase approximation, we analytically demonstrate that for all one-dimensional spinor gases with repulsive contact interactions, whether bosonic or fermionic, the asymptotic density and momentum distribution can be directly determined from the quasimomentum distribution (Bethe rapidities) of the trapped gas. We efficiently obtain the quasimomentum distribution numerically by solving the integral equations that characterize the ground state of the integrable system within the local density approximation. Additionally, we derive analytical solutions for both weakly and strongly interacting regimes. Unlike in bosonic gases, where rapidity distributions and density profiles vary significantly across interaction regimes, fermionic gases maintain similar profiles in both weakly and strongly interacting limits. Notably, the gas expands self-similarly only when released from a harmonic trap. For other power-law trapping potentials, the asymptotic density profile is strongly influenced by the initial confinement geometry. Our results extend readily to Bose-Fermi mixtures and finite temperatures.
arXiv comment14 pages, 2 figures, RevTeX 4.2
References in corpus (51)
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- 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
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- The Quench Action
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Generalized hydrodynamics in strongly interacting 1D Bose gases
- Fermionization in an expanding 1D gas of hard-core bosons
- Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
- Observation of Dynamical Fermionization
- Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
- Fermionization and bosonization of expanding 1D anyonic fluids
- Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
- Correlations in an expanding gas of hard-core bosons
- Quench-induced breathing mode of one-dimensional Bose gases
- Polarization of interacting bosons with spin
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
- Ferromagnetic behaviour in the strongly interacting two-component Bose gas
- Applications of exact solution for strongly interacting one dimensional bose-fermi mixture: low-temperature correlation functions, density profiles and collective modes
- Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
- Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture
- Failure of the Generalized Eigenstate Thermalization Hypothesis in integrable models with multiple particle species
- Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
- Exact solution for the quench dynamics of a nested integrable system
- Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
- Many-body quantum dynamics and induced correlations of Bose polarons
- Many-Body Expansion Dynamics of a Bose-Fermi Mixture Confined in an Optical Lattice
- Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
- Violation of self-similarity in the expansion of a 1D Bose gas
- Expansion of one-dimensional lattice hard-core bosons at finite temperature
- Rigorous Proof of Pseudospin Ferromagnetism in Two-Component Bosonic Systems with Component-Independent Interactions
- On Form Factors in nested Bethe Ansatz systems
- Generalized hydrodynamics study of the one-dimensional Hubbard model: Stationary clogging and proportionality of spin, charge, and energy currents
- Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
- Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations
- The Hubbard chain: Lieb-Wu equations and norm of the eigenfunctions
- Polarization Suppression and Nonmonotonic Local Two-Body Correlations in the Two-Component Bose Gas in One Dimension
- Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
- Equilibrium thermodynamic properties of interacting two-component bosons in one dimension
- Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
- Dynamical Fermionization in One Dimensional Spinor Gases
- Dynamics of spin and density fluctuations in strongly interacting few-body systems
- Universal scaling of spin mixing dynamics in a strongly interacting one-dimensional Fermi gas
- Emergent ballistic transport of Bose-Fermi mixtures in one dimension
- Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
- Symmetry oscillations in strongly interacting one-dimensional mixtures
- Dynamical fermionization in one-dimensional spinor gases at finite temperature
- Dynamical probing of high-order spin coherence in one-dimensional mixtures