Fermionization and bosonization of expanding 1D anyonic fluids

Abstract

The momentum distribution of an expanding cloud of one-dimensional hard-core anyons is studied by an exact numerical approach, and shown to become indistinguishable from that of a non-interacting spin-polarized Fermi gas for large enough times (dynamical fermionization). We also consider the expansion of one-dimensional anyons with strongly attractive short-range interactions suddenly released from a parabolic external potential, and find that momentum distribution approaches that of its dual system, the ideal Bose gas (dynamical bosonization). For both processes the characteristic time scales are identified, and the effect of the initial confinement is analyzed comparing the dynamics associated with both harmonic and hard-wall traps.

5 figures, 4 pages

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Cited by in corpus (74)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Shortcuts to adiabaticity
• Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
• One-dimensional mixtures of several ultracold atoms: a review
• Shortcuts to adiabaticity in a time-dependent box
• The Anyon Hubbard Model in One-Dimensional Optical Lattices
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Floquet realization and signatures of one-dimensional anyons in an optical lattice
• Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
• Long-time behavior of many-particle quantum decay
• Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables
• Sudden expansion of Mott insulators in one dimension
• Junctions of anyonic Luttinger wires
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Dynamical properties of hard-core anyons in one-dimensional optical lattices
• Engineering interactions and anyon statistics by multicolor lattice-depth modulations
• Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
• Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
• Strongly interacting mesoscopic systems of anyons in one dimension
• Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Emergent eigenstate solution and emergent Gibbs ensemble for expansion dynamics in optical lattices
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Quantum entanglement of particles on a ring with fractional statistics
• Off-diagonal correlations in one-dimensional anyonic models: A replica approach
• Topological Exchange Statistics in One Dimension
• Correlation functions of one-dimensional strongly interacting two-component gases
• Probing the exchange statistics of one-dimensional anyon models
• Ground state properties of hard-core anyons in a harmonic potential
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. III. Large distance asymptotics of the space correlations
• Exact Delta Kick Cooling, Time-Optimal Control of Scale-Invariant Dynamics, and Shortcuts to Adiabaticity Assisted by Kicks
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
• Quantum Inverse Scattering Method with anyonic grading
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Dynamical Fermionization in One Dimensional Spinor Gases
• Exact ground states of quantum many-body systems under confinement
• Unveiling hidden structure of many-body wavefunctions of integrable systems via sudden expansion experiments
• Self trapping in the two-dimensional Bose-Hubbard model
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Ground state properties of a one-dimensional strongly-interacting Bose-Fermi mixture in a double-well potential
• Nonadiabatic energy fluctuations of scale-invariant quantum systems in a time-dependent trap
• Dynamical fermionization in a one-dimensional Bose-Fermi mixture
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Anyonic Liquids in Nearly Saturated Spin Chains
• Energy and magnetic moment of a quantum charged particle in time dependent magnetic and electric fields of circular and plane solenoids
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Numerical simulation of non-abelian anyons
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Quasimomentum distribution and expansion of an anyonic gas
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
• Expansion dynamics in a one-dimensional hard-core boson model with three-body interactions
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Dynamical fermionization in one-dimensional spinor gases at finite temperature
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• Dualities for anyons
• Thermodynamics of Statistical Anyons
• Laser assisted tunneling in a Tonks-Girardeau gas
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Taxonomy of integrable and ground-state solvable models: Jastrow wave functions on graphs and parent Hamiltonians
• Parent Hamiltonians of Jastrow Wavefunctions
• Expansion of one-dimensional spinor gases from power-law traps
• Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension
• Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional ${}^{162}$Dy gases
• Quench Dynamics of Anyon Tonks-Girardeau Gases