Coexistence of Non-Conventional Condensates in Two-Level Bose Atom System
M.Corgini, C.Rojas-Molina, D.P.Sankovich

TL;DR
This paper proves the coexistence of two non-conventional Bose-Einstein condensates in a two-level Bose atom system using the Bogolyubov approximation, highlighting conditions for superstable systems with internal structure.
Contribution
It provides a simple proof of coexistence of two condensates in a two-level Bose system, extending understanding of condensate behavior in complex atomic systems.
Findings
Proof of coexistence of two condensates
Conditions for superstable two-level Bose systems
Application of Bogolyubov inequalities
Abstract
In the framework of the Bogolyubov approximation and using the Bogolyubov inequalities we give a simple proof of the coexistence of two non-conventional Bose-Einstein condensates in the case of some superstable Bose system whose atoms have an internal two-level structure and their energy operators in the second quantized form depend on the number operators only.
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