Dynamics of Two-Component Bose-Einstein Condensates Coupled with Environment

TL;DR

This paper studies how environmental noise and dissipation influence the dynamics of a two-component Bose-Einstein condensate system coupled via Raman lasers, revealing suppression of detuning effects and increased coherence under certain conditions.

Contribution

It introduces a second-order approximation hierarchy to accurately describe the open condensate dynamics, extending understanding of environmental effects on BEC systems.

Findings

Detuning effects are suppressed by environmental noise and dissipation.

Increased coherence and purity observed for specific parameters.

Second-order approximation accurately models dynamics under strong noise.

Abstract

We investigate the dynamics of an open Bose-Einstein condensate system consisting of two hyperfine states of the same atomic species which are coupled by tunable Raman laser. It is already suggested that the detuning between the laser frequency and transition frequency affect significantly on the dynamics of the pure condensate. Here we show that the detuning effect is suppressed by noise and dissipation caused by the environment. The increase of coherence and purity are also displayed for specific parameters. As a verification to the lowest-order approximation we derive the hierarchy of motion equations in the second-order approximation. It turns out that the former one can describe the dynamical evolution qualitatively for weak noise and dissipation and quantitatively for strong noise and dissipation.