A bosonic multi-state two-well model

TL;DR

This paper introduces a new exactly solvable model for two Bose-Einstein condensates with multiple internal states, using algebraic Bethe ansatz, to better understand tunneling and interactions in ultracold atomic systems.

Contribution

It presents a novel Lax operator and constructs a multi-state two-well model, extending the theoretical framework for ultracold atomic physics with exact solutions.

Findings

Model solved via algebraic Bethe ansatz

Describes exchange interactions in two condensates

Generalizes to n on-well states

Abstract

Inspired by the increasing possibility of experimental control in ultracold atomic physics, we introduce a new Lax operator and use it to construct and solve models with two wells and two on-well states together with its generalization for n on-well states. The models are solved by the algebraic Bethe ansatz method and can be viewed as describing two Bose-Einstein condensates allowing for an exchange interaction through Josephson tunnelling.