One-dimensional Bose gas dynamics: breather relaxation

Abstract

One-dimensional Bose gases are a useful testing-ground for quantum dynamics in many-body theory. They allow experimental tests of many-body theory predictions in an exponentially complex quantum system. Here we calculate the dynamics of a higher-order soliton in the mesoscopic case of $N=10^3-10^4$ particles, giving predictions for quantum soliton breather relaxation. These quantum predictions use a truncated Wigner approximation, which is a $1/N$ expansion, in a regime where other exactly known predictions are recovered to high accuracy. Such dynamical calculations are testable in forthcoming BEC experiments.

References in corpus (6)

• Experimental Observation of a Generalized Gibbs Ensemble
• Collisions of matter-wave solitons
• Simulations and Experiments on Polarisation Squeezing in Optical Fibre
• Many-body quantum dynamics of polarisation squeezing in optical fibre
• Functional Wigner representation of BEC quantum dynamics
• Higher-order quantum bright solitons in Bose-Einstein condensates show truly quantum emergent behavior

Cited by in corpus (1)

• Dissociation of one-dimensional matter-wave breathers due to quantum many-body effects