Effects Beyond Center-of-Mass Separability in a Trapped Bosonic Mixture: Exact Results

TL;DR

This paper introduces an exactly solvable model for a two-component Bose-Einstein condensate, analyzing properties beyond simple center-of-mass separability and comparing many-body and mean-field results.

Contribution

It provides a novel exactly solvable model capturing demixing phenomena and explores properties beyond center-of-mass separability at both many-body and mean-field levels.

Findings

Closed-form expressions for properties along demixing pathway

Clarification of the role of relative center-of-mass coordinate in demixing

Comparison between many-body and mean-field results

Abstract

An exactly solvable model mimicking demixing of two Bose-Einstein condensates at the many-body level of theory is devised. Various properties are expressed in closed form along the demixing pathway and investigated. The connection between the center-of-mass coordinate and in particular the relative center-of-mass coordinate and demixing is explained. The model is also exactly solvable at the mean-field level of theory, allowing thereby comparison between many-body and mean-field properties. Applications are briefly discussed.