Exactly solvable models for triatomic-molecular Bose-Einstein Condensates

TL;DR

This paper introduces exactly solvable models for triatomic molecular Bose-Einstein condensates, expanding theoretical understanding and providing analytical solutions for these complex quantum systems.

Contribution

The authors develop a new class of exactly solvable models for triatomic BECs using algebraic Bethe ansatz, including derivation of Bethe equations and energy spectra.

Findings

Models are exactly solvable via algebraic Bethe ansatz

Derived Bethe ansatz equations and energy spectra

Applicable to heteronuclear and homonuclear triatomic BECs

Abstract

We construct a family of triatomic models for heteronuclear and homonuclear molecular Bose-Einstein condensates. We show that these new generalized models are exactly solvable through the algebraic Bethe ansatz method and derive their corresponding Bethe ansatz equations and energies.