Three-body recombination of ultracold Bose gases using the truncated Wigner method

TL;DR

This paper applies the truncated Wigner method to model three-body recombination in ultracold Bose gases, providing a stochastic differential equation framework for simulation within the method's validity regime.

Contribution

It introduces a novel application of the truncated Wigner method to three-body recombination, deriving coupled stochastic equations for this process.

Findings

Three-body recombination can be modeled with stochastic differential equations.

The method is validated through simulations of a homogeneous Bose gas.

The approach is feasible within the Wigner truncation validity regime.

Abstract

We apply the truncated Wigner method to the process of three-body recombination in ultracold Bose gases. We find that within the validity regime of the Wigner truncation for two-body scattering, three-body recombination can be treated using a set of coupled stochastic differential equations that include diffusion terms, and can be simulated using known numerical methods. As an example we investigate the behaviour of a simple homogeneous Bose gas.