Generalized coherent state representation of Bose-Einstein condensates

TL;DR

This paper demonstrates that Bose-Einstein condensates can be represented as generalized coherent states consistent with TDHFB equations, simplifying the description at zero temperature by reducing variables.

Contribution

It introduces a GCS framework for BECs aligned with TDHFB, simplifying the state description at zero temperature by eliminating dependent variables.

Findings

BEC states are generalized coherent states consistent with TDHFB

At zero temperature, non-condensate density and anomalous correlation are dependent

Simplification reduces variables in the TDHFB equations

Abstract

We show that the quantum many-body state of Bose-Einstein condensates (BEC) consistent with the time-dependent Hartree-Fock-Bogoliubov (TDHFB) equations is a generalized coherent state (GCS). At zero temerature, the non-condensate density and the anomalous non-condensate correlation are not independent, allowing us to elimiate one of the three variables in the TDHFB.