Noise correlations in the expansion of an interacting 1D Bose gas from a regular array

Abstract

We consider the one dimensional expansion of a system of interacting bosons, starting from a regular array. Without interactions the familiar Hanbury Brown and Twiss effect for bosons gives rise to a series of peaks in the density-density correlations of the expanded system. Infinitely repulsive particles likewise give a series of dips, a signature of the underlying description in terms of free fermions. In the intermediate case of finite interaction the noise correlations consist of a set of Fano resonance lineshapes, with an asymmetry parameter determined by the scattering phase shift of a pair of particles, and a width depending on the initial momentum spread of the particles.

References in corpus (3)

• Spatial quantum noise interferometry in expanding ultracold atom clouds
• The Mott insulator transition in two dimensions
• The Dynamics of the One-Dimensional Delta-Function Bose Gas

Cited by in corpus (6)

• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
• Quench dynamics of the interacting Bose gas in one dimension
• Exact time evolution of space- and time-dependent correlation functions after an interaction quench in the 1D Bose gas
• An exact formalism for the quench dynamics of integrable models
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis