A dynamic correspondence between Bose-Einstein condensates and Friedmann-Lema\^itre-Robertson-Walker and Bianchi I cosmology with a cosmological constant

TL;DR

This paper extends the dynamic analogy between Bose-Einstein condensates and cosmological models to include Bianchi I universes with a cosmological constant, broadening the scope of this intriguing correspondence.

Contribution

It introduces a generalized framework linking Bose-Einstein condensates to various cosmological models, including anisotropic Bianchi I universes with a cosmological constant.

Findings

Extended the BEC-cosmology correspondence to Bianchi I models

Incorporated the effects of a cosmological constant into the model

Provided a unified approach for different cosmological geometries

Abstract

In some interesting work of James Lidsey, the dynamics of Friedmann-Lema\^itre-Robertson-Walker (FLRW) cosmology with positive curvature and a perfect fluid matter source is shown to be modeled in terms of a time-dependent, harmonically trapped Bose-Einstein condensate. In the present work, we extend this dynamic correspondence to both FLRW and Bianchi I cosmologies in arbitrary dimension, especially when a cosmological constant is present.