Atom-molecule conversion with particle losses

TL;DR

This paper investigates how particle losses affect atom-molecule conversion dynamics using mean-field and phase space analysis, revealing impacts on efficiency and self-trapping phenomena.

Contribution

It introduces an effective nonlinear Schrödinger equation derived from many-body dynamics to analyze particle loss effects in atom-molecule conversion.

Findings

Particle loss reduces conversion efficiency.

Particle loss influences the stability of self-trapping.

Boundary analysis delineates different dynamical regimes.

Abstract

Based on the mean-field approximation and the phase space analysis, we study the dynamics of an atom-molecule conversion system subject to particle loss. Starting from the many-body dynamics described by a master equation, an effective nonlinear Schr\"odinger equation is introduced. The classical phase space is then specified and classified by fixed points. The boundary, which separate different dynamical regimes have been calculated and discussed. The effect of particle loss on the conversion efficiency and the self-trapping is explored.