The exact solution of a fragmented Bose-Hubbard model and twisted models

TL;DR

This paper provides an exact solution to a class of fragmented Bose-Hubbard models using algebraic Bethe ansatz, revealing their spectral equivalence to twisted models via local gauge transformations.

Contribution

It introduces a novel exact solution method for fragmented Bose-Hubbard models and establishes their spectral equivalence to twisted models.

Findings

Models are solved exactly using algebraic Bethe ansatz.

Spectral equivalence between original and twisted models is demonstrated.

Models are represented as graphs with condensates at vertices.

Abstract

We present the exact solution of a family of fragmented Bose-Hubbard models and represent the models as graphs with the condensates in the vertices. The models are solved by the algebraic Bethe ansatz method. We show that the models have the same spectrum of a family of twisted models that we get by a local U (1) gauge transformation.