Quantum integrable multi-well tunneling models

TL;DR

This paper develops a comprehensive framework for integrable multi-well boson tunneling models using the Quantum Inverse Scattering Method, revealing multiple conserved quantities and Bethe ansatz solutions for complete eigenstate characterization.

Contribution

It introduces a novel construction of integrable multi-well tunneling models with multiple pseudovacua and conserved operators, expanding the understanding of their solution space.

Findings

Models are derived via Quantum Inverse Scattering Method.

Multiple conserved operators and pseudovacua are identified.

Complete eigenstates require all Bethe ansatz solutions.

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.