The exact solution of a generalized Bose-Hubbard model
Gilberto N. Santos Filho
TL;DR
This paper provides an exact solution to a family of generalized Bose-Hubbard models using algebraic Bethe ansatz, representing them as graphs in multiple dimensions with condensates at vertices.
Contribution
It introduces a novel exact solution approach for a class of fragmented Bose-Hubbard models using algebraic Bethe ansatz.
Findings
Exact solutions for generalized Bose-Hubbard models
Graph representations in 1D, 2D, and 3D
Application of algebraic Bethe ansatz method
Abstract
I present the exact solution of a family of fragmented Bose-Hubbard models and represent the models as graphs in one-dimension, two-dimensions and three-dimensions with the condensates in the vertices. The models are solved by the algebraic Bethe ansatz method.
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Taxonomy
TopicsMolecular spectroscopy and chirality · Algebraic structures and combinatorial models · Cold Atom Physics and Bose-Einstein Condensates