Stability of the Bose-Einstein condensate under polynomial perturbations

TL;DR

This paper investigates the stability of Bose-Einstein condensates when subjected to polynomial gauge-invariant perturbations, providing new insights into their robustness under such conditions.

Contribution

It introduces a novel stability result for Bose-Einstein condensates under thermofield polynomial perturbations, expanding understanding of their resilience.

Findings

Bose-Einstein condensates remain stable under certain polynomial perturbations.

New theoretical stability criteria for thermofield perturbations are established.

The results enhance the understanding of condensate robustness in quantum systems.

Abstract

The problem of the Bose-Einstein condensate preservation under thermofield and standard gauge-invariant perturbations is discussed. A new result on stability of the condensate under thermofield perturbations of a polynomial type is presented.