Exactly solvable models for multiatomic molecular Bose-Einstein condensates

TL;DR

This paper introduces two exactly solvable models for multiatomic molecular Bose-Einstein condensates using algebraic Bethe ansatz, providing insights into their conserved quantities and integrability.

Contribution

The paper presents new exactly solvable models for hetero-nuclear and homo-nuclear molecular BECs, expanding the theoretical understanding of these systems.

Findings

Models are exactly solvable via algebraic Bethe ansatz.

Conserved quantities of the models are identified.

Provides a framework for analyzing multiatomic BECs.

Abstract

I introduce two family of exactly solvable models for multiatomic hetero-nuclear and homo-nuclear molecular Bose-Einstein condensates through the algebraic Bethe ansatz method. The conserved quantities of the respective models are also showed.