Dynamical fermionization in one-dimensional spinor gases at finite temperature
arXiv:2211.01975 · doi:10.1103/PhysRevLett.130.163201
Abstract
Following the removal of axial confinement, the momentum distribution of a Tonks-Girardeau gas approaches that of a system of noninteracting spinless fermions in the initial harmonic trap. This phenomenon, called dynamical fermionization, has been experimentally confirmed in the case of the Lieb-Liniger model and theoretically predicted in the case of multicomponent systems at zero temperature. We prove analytically that for all spinor gases with strong repulsive contact interactions at finite temperature the momentum distribution after release from the trap asymptotically approaches that of a system of spinless fermions at the same temperature but with a renormalized chemical potential which depends on the number of components of the spinor system. In the case of the Gaudin-Yang model we check numerically our analytical predictions using the results obtained from a nonequilibrium generalization of Lenard's formula describing the time evolution of the field-field correlators.
6+9 pages, 1 figure, RevTeX 4.2
References in corpus (23)
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Quench in the Transverse Field Ising Chain
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Fermionization in an expanding 1D gas of hard-core bosons
- Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
- Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
- Fermionization and bosonization of expanding 1D anyonic fluids
- Correlations in an expanding gas of hard-core bosons
- Strongly Interacting Quantum Gases in One-Dimensional Traps
- Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
- From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in Heisenberg spin chains
- Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
- Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
- 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
- Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
- Integrable quenches in the Hubbard model
- Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
- Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
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- One-body dynamical correlation function of Lieb-Liniger model at finite temperature
- Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
- Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
- Numerical methods and analytic results for one-dimensional strongly interacting spinor gases
- Expansion of one-dimensional spinor gases from power-law traps