Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket

Abstract

The dynamics of the momentum distribution and the reduced single-particle density matrix (RSPDM) of a Tonks-Girardeau (TG) gas is studied in the context of Bragg-reflections of a many-body wavepacket. We find strong suppression of a Bragg-reflection peak for a dense TG wavepacket; our observation illustrates dependence of the momentum distribution on the interactions/wavefunction symmetry. The momentum distribution is calculated with a fast algorithm based on a formula expressing the RSPDM via a dynamically evolving single-particle basis.

References in corpus (6)

• Exact coherent states of a harmonically confined Tonks-Girardeau gas
• Fermionization in an expanding 1D gas of hard-core bosons
• Ground-state properties of hard core bosons in one-dimensional harmonic traps
• Free expansion of impenetrable bosons on one-dimensional optical lattices
• Are the Tonks regimes in the continuum and on the lattice truly equivalent?
• Dark stationary matter-waves via parity-selective evaporation in a Tonks-Girardeau gas

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• Solitons in Tonks-Girardeau gas with dipolar interactions
• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
• Momentum distribution of a freely expanding Lieb-Liniger gas
• Ultracold gases far from equilibrium
• The single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas
• Momentum-space interferometry with trapped ultracold atoms
• High-momentum tail in the Tonks-Girardeau gas under general confining potentials