Dynamical Fermionization in One Dimensional Spinor Gases

Abstract

Dynamical fermionization refers to the phenomenon in Tonks-Girardeau (TG) gases where, upon release from harmonic confinement, the gas's momentum density profile evolves asymptotically to that of an ideal Fermi gas in the initial trap. This phenomenon has been demonstrated theoretically in hardcore and anyonic TG gases, and recently experimentally observed in a strongly interacting Bose gas. We extend this study to a one dimensional (1D) spinor gas of arbitrary spin in the strongly interacting regime, and analytically prove that the total momentum distribution after the harmonic trap is turned off approaches that of a spinless ideal Fermi gas, while the asymptotic momentum distribution of each spin component takes the same shape of the initial real space density profile of that spin component. Our work demonstrates the rich physics arising from the interplay between the spin and the charge degrees of freedom in a spinor system.

5 pages, 2 figures

References in corpus (12)

• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• 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
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• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
• Bosonic continuum theory of one-dimensional lattice anyons
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• Universal duality transformations in interacting one-dimensional quantum systems

Cited by in corpus (10)

• Dynamical fermionization in a one-dimensional Bose-Fermi mixture
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Dynamical fermionization in one-dimensional spinor gases at finite temperature
• One-body dynamical correlation function of Lieb-Liniger model at finite temperature
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
• 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
• Manifold formation and crossings of ultracold lattice spinor atoms in the intermediate interaction regime
• Expansion of one-dimensional spinor gases from power-law traps