Truncated Wigner method for Bose gases

TL;DR

This paper explores the truncated Wigner method for simulating non-equilibrium dynamics of one-dimensional Bose gases, including solitons and atom number squeezing, with efficient correlation analysis techniques.

Contribution

It introduces a numerically efficient projection method and demonstrates the method's application to complex quantum phenomena in Bose gases.

Findings

Successful simulation of non-equilibrium dynamics of Bose gases.

Effective analysis of correlation functions in the simulations.

Observation of solitons and atom number squeezing phenomena.

Abstract

We discuss stochastic phase-space methods within the truncated Wigner approximation and show explicitly that they can be used to solve non-equilibrium dynamics of bosonic atoms in one-dimensional traps. We consider systems both with and without an optical lattice, and address different approximations in the stochastic synthesization of quantum statistical correlations of the initial atomic field. We also present a numerically efficient projection method for analyzing correlation functions of the simulation results, and demonstrate physical examples of non-equilibrium quantum dynamics of solitons and atom number squeezing in optical lattices.