Exact solution of a generalized two-sites Bose-Hubbard model

2016/10/23 by Gilberto N. Santos Filho, Filho, Gilberto N. Santos
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Quantum Chromodynamics and Particle Interactions #Physics of Superconductivity and Magnetism

paper · pdf · doi:10.48550/arxiv.1610.07111

Abstract

I introduce a new parametrization of a bosonic Lax operator for the algebraic Bethe ansatz method with the gl(2)-invariant R-matrix and use it to present the exact solution of a generalized two-sites Bose-Hubbard model with asymmetric tunnelling. In the no interaction limit I show that the Bethe ansatz equations can be written as a S^N-1 sphere, where N is the total number of atoms in the condensate.

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