Feasibility of Experimental Realization of Entangled Bose-Einstein Condensation

TL;DR

This paper explores the practical feasibility of creating an entangled Bose-Einstein condensate of two different atomic species, analyzing conditions for its stability, ground state properties, and potential experimental realization.

Contribution

It demonstrates the conditions under which entangled BEC can be realized experimentally and discusses its stability and ground state characteristics.

Findings

Entangled BEC persists as ground state if the energy gap remains zero.

The isotropic point of parameters allows exact ground state realization.

Transition temperature and experimental implementation strategies are estimated.

Abstract

We examine the practical feasibility of the experimental realization of the so-called entangled Bose-Einstein condensation (BEC), occurring in an entangled state of two atoms of different species. We demonstrate that if the energy gap remains vanishing, the entangled BEC persists as the ground state of the concerned model in a wide parameter regime. We establish the experimental accessibility of the isotropic point of the effective parameters, in which the entangled BEC is the exact ground state, as well as the consistency with the generalized Gross-Pitaevskii equations. The transition temperature is estimated. Possible experimental implementations are discussed in detail.