A bosonic multi-state two-well model

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.

12 pages, 2 figures

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Cited by in corpus (3)

• Generating accessible entanglement in bosons via pair-correlated tunneling
• Ground-state Bethe root densities and quantum phase transitions
• Bethe states for the two-site Bose-Hubbard model: a binomial approach