Exact dynamics following an interaction quench in a one-dimensional anyonic gas
arXiv:1705.06470 · doi:10.1103/PhysRevA.96.023611
Abstract
We study the nonequilibrium quench dynamics of a one-dimensional anyonic gas. We focus on the integrable anyonic Lieb-Liniger model and consider the quench from non-interacting to hard-core anyons. We study the dynamics of the local properties of the system. By means of integrability-based methods we compute analytically the one-body density matrix and the density-density correlation function at all times after the quench and in particular at infinite time. Our results show that the system evolves from an initial state where the local momentum distribution function is non-symmetric to a steady state where it becomes symmetric. Furthermore, while the initial momentum distribution functions (and the equilibrium ones) explicitly depend on the anyonic parameter, the final ones do not. This is reminiscent of the dynamical fermionization observed in the context of free expansions after release from a confining trap.
24 pages, 7 figures; v2: minor revision and references added
References in corpus (44)
- Many-Body Physics with Ultracold Gases
- Quantum Quench in the Transverse Field Ising Chain
- Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Dynamical density-density correlations in the one-dimensional Bose gas
- The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
- Fermionization in an expanding 1D gas of hard-core bosons
- The KPZ equation with flat initial condition and the directed polymer with one free end
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides
- Correlation functions of the one-dimensional attractive Bose gas
- Fermionization and bosonization of expanding 1D anyonic fluids
- Correlation functions of one-dimensional anyonic fluids
- Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
- Mean values of local operators in highly excited Bethe states
- Universal contact for a Tonks-Girardeau gas at finite temperature
- Correlation Functions of One-Dimensional Lieb-Liniger Anyons
- Free expansion of impenetrable bosons on one-dimensional optical lattices
- Ground-state properties of one-dimensional anyon gases
- Analytical expression for a post-quench time evolution of the one-body density matrix of one-dimensional hard-core bosons
- Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
- Quenching small quantum gases: Genesis of the orthogonality catastrophe
- Generalized exclusion statistics and degenerate signature of strongly interacting anyons
- Local Correlations in the Super Tonks-Girardeau Gas
- Bethe Ansatz for 1D interacting anyons
- Interaction quench in a trapped one-dimensional Bose gas
- Dynamics of pair correlations in the attractive Lieb-Liniger gas
- One-particle density matrix and momentum distribution function of one-dimensional anyon gases
- Entanglement properties and moment distributions of a system of hard-core anyons on a ring
- Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium
- Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
- Density form factors of the 1D Bose gas for finite entropy states
- Metastable criticality and the super Tonks-Girardeau gas
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
- Coulomb blockade of anyons
- Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
- Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices
- Bethe Ansatz Matrix Elements as Non-Relativistic Limits of Form Factors of Quantum Field Theory
- Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
- Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential
- Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
- A Note on the Pfaffian Integration Theorem
- Quench between a Mott insulator and a Lieb-Liniger liquid
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- Entanglement dynamics after quantum quenches in generic integrable systems
- What is an integrable quench?
- Quench action and Renyi entropies in integrable systems
- Entanglement spreading in non-equilibrium integrable systems
- Non-analytic behavior of the Loschmidt echo in XXZ spin chains: exact results
- Rényi entropies after releasing the Néel state in the XXZ spin-chain
- Overlaps with arbitrary two-site states in the XXZ spin chain
- Integrable quenches in nested spin chains I: the exact steady states
- Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
- Quench action and large deviations: work statistics in the one-dimensional Bose gas
- Quantum quench and thermalization of one-dimensional Fermi gas via phase space hydrodynamics
- One-particle density matrix of a trapped Lieb-Liniger anyonic gas
- Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
- Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- Correlation functions of one-dimensional strongly interacting two-component gases
- Probing the exchange statistics of one-dimensional anyon models
- Effective free-fermionic form factors and the XY spin chain
- Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
- Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
- Numerical simulation of non-abelian anyons
- Quantum walk of two anyons across a statistical boundary
- Determinant formula for the field form factor in the anyonic Lieb-Liniger model
- Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
- Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
- Field induced conducting state in Mott insulator
- On computing non-equilibrium dynamics following a quench
- Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
- Entanglement of Stationary States in the Presence of Unstable Quasiparticles
- Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension
- Quench Dynamics of Anyon Tonks-Girardeau Gases