Quantum integrable multi-well tunneling models

Abstract

In this work we present a general construction of integrable models for boson tunneling in multi-well systems. We show how the models may be derived through the Quantum Inverse Scattering Method and solved by algebraic Bethe ansatz means. From the transfer matrix we find only two conserved operators. However, we construct additional conserved operators through a different method. As a consequence the models admit multiple pseudovacua, each associated to a set of Bethe ansatz equations. We show that all sets of Bethe ansatz equations are needed to obtain a complete set of eigenstates.

14 pages, 1 figure

References in corpus (3)

• EPR entanglement strategies in two-well BEC
• The two-site Bose--Hubbard model
• Integrable model of bosons in a four-well ring with anisotropic tunneling

Cited by in corpus (7)

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• Control of tunneling in an atomtronic switching device
• Interacting bosons in a triple well: Preface of many-body quantum chaos
• Entangled states of dipolar bosons generated in a triple-well potential
• Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
• From integrability to chaos: the quantum-classical correspondence in a triple well bosonic model
• The Yang-Baxter paradox