Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
arXiv:2308.00486 · doi:10.1103/PhysRevA.108.053304
Abstract
The derivation of determinant representations for the space-, time-, and temperature-dependent correlation functions of the impenetrable Gaudin-Yang model in the presence of a trapping potential is presented. These representations are valid in both equilibrium and nonequilibrium scenarios like the ones initiated by a sudden change of the confinement potential. In the equal-time case our results are shown to be equivalent to a multicomponent generalization of Lenard's formula from which Painlevé transcendent representations for the correlators can be obtained in the case of harmonic trapping and Dirichlet and Neumann boundary conditions. For a system in the quantum Newton's cradle setup the determinant representations allow for an exact numerical investigation of the dynamics and even hydrodynamization which is outside the reach of Generalized Hydrodynamics or other approximate methods. In the case of a sudden change in the trap's frequency we predict a many-body bounce effect, not present in the evolution of the density profile, which causes a nontrivial periodic narrowing of the momentum distribution with amplitude depending on the statistics of the particles.
32 pages, 5 figures, RevTeX 4.2
References in corpus (39)
- Thermalization and its mechanism for generic isolated quantum systems
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
- 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
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides
- Fermionization and bosonization of expanding 1D anyonic fluids
- Correlations in an expanding gas of hard-core bosons
- Green's function for magnetically incoherent interacting electrons in one dimension
- Universal correlations of trapped one-dimensional impenetrable bosons
- Correlation functions of one-dimensional anyonic fluids
- Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
- Ground-state properties of hard core bosons in one-dimensional harmonic traps
- Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
- Correlation Functions of One-Dimensional Lieb-Liniger Anyons
- Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
- Exact solution for the quench dynamics of a nested integrable system
- Ground-state properties of hard-core anyons in one-dimensional optical lattices
- Generalized exclusion statistics and degenerate signature of strongly interacting anyons
- Direct observation of hydrodynamization and local prethermalization
- Bosonic continuum theory of one-dimensional lattice anyons
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
- Coulomb blockade of anyons
- Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
- One-particle density matrix of a trapped Lieb-Liniger anyonic gas
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- Correlation functions of one-dimensional strongly interacting two-component gases
- Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
- Quantum Inverse Scattering Method with anyonic grading
- Dynamical Fermionization in One Dimensional Spinor Gases
- Exact spectral function of a Tonks-Girardeau gas in a lattice
- Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
- Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
- Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
- Exact spectral function of the Tonks-Girardeau gas at finite temperature
- Dynamical fermionization in one-dimensional spinor gases at finite temperature
- Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases