Integrable model of bosons in a four-well ring with anisotropic tunneling

Abstract

We introduce an integrable, four-well ring model for bosons where the tunneling couplings between nearest-neighbour wells are not restricted to be equal. We show how the model may be derived through the Quantum Inverse Scattering Method from a solution of the Yang--Baxter equation, and in turn solved by algebraic Bethe Ansatz means. The model admits multiple pseudovaccum states. Numerical evidence is provided to indicate that all pseudovacua are required to obtain a complete set of Bethe eigenstates. The model has the notable property that there is a class of eigenstates which admit a simple, closed-form energy expression.

13 pages, 1 figure

References in corpus (4)

• EPR entanglement strategies in two-well BEC
• Spin squeezing in an ensemble of quadrupolar nuclei NMR system
• Bose-Einstein Condensates on slightly asymmetric double-well potentials
• Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling

Cited by in corpus (6)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
• Atomtronic protocol designs for NOON states
• Quantum integrable multi-well tunneling models
• Generating accessible entanglement in bosons via pair-correlated tunneling
• Exactly Solved Models and Beyond: a special issue in honour of R J Baxter's 75th birthday