Describing many-body bosonic waveguide scattering with the truncated Wigner method

TL;DR

This paper demonstrates how the truncated Wigner method can be applied to model many-body bosonic scattering in one-dimensional waveguides, providing a semiclassical approach to complex quantum scattering phenomena.

Contribution

It introduces a detailed discretization scheme for implementing the truncated Wigner method in bosonic waveguide scattering, bridging quantum and semiclassical descriptions.

Findings

Effective semiclassical modeling of bosonic scattering processes

Proper discretization techniques for quantum-to-semiclassical transition

Insights into continuous limit behavior of the truncated Wigner method

Abstract

We consider quasi-stationary scattering of interacting bosonic matter waves in one-dimensional waveguides, as they arise in guided atom lasers. We show how the truncated Wigner (tW) method, which corresponds to the semiclassical description of the bosonic many-body system on the level of the diagonal approximation, can be utilized in order to describe such many-body bosonic scattering processes. Special emphasis is put on the discretization of space at the exact quantum level, in order to properly implement the semiclassical approximation and the tW method, as well as on the discussion of the results to be obtained in the continuous limit.