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

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• Fermionization in an expanding 1D gas of hard-core bosons
• Correlation functions of one-dimensional anyonic fluids
• Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
• Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Ground-state properties of one-dimensional anyon gases
• Free expansion of impenetrable bosons on one-dimensional optical lattices
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• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials

Cited by in corpus (5)

• Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
• Junctions of anyonic Luttinger wires
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Quantum Inverse Scattering Method with anyonic grading