Stability analysis for $n$-component Bose-Einstein condensate

TL;DR

This paper derives stability conditions for multicomponent Bose-Einstein condensates, providing a unified framework that aligns with phase diagrams from energetic considerations, applicable to any number of components.

Contribution

It generalizes stability criteria for n-component BECs and demonstrates their consistency with phase diagrams derived from energetic arguments.

Findings

Derived dynamic and thermodynamic stability conditions for n-component BECs.

Showed equivalence of different stability criteria.

Confirmed consistency with phase diagrams from energetic analysis.

Abstract

We derive the dynamic and thermodynamic stability conditions for dilute multicomponent Bose-Einstein condensates (BECs). These stability conditions, generalized for $n$-component BECs, are found to be equivalent and are shown to be consistent with the phase diagrams of two- and three-component condensates that are derived from energetic arguments.