A variational approach for the Quantum Inverse Scattering Method
Abstract
We introduce a variational approach for the Quantum Inverse Scattering Method to exactly solve a class of Hamiltonians via Bethe ansatz methods. We undertake this in a manner which does not rely on any prior knowledge of integrability through the existence of a set of conserved operators. The procedure is conducted in the framework of Hamiltonians describing the crossover between the low-temperature phenomena of superconductivity, in the Bardeen-Cooper-Schrieffer (BCS) theory, and Bose-Einstein condensation (BEC). The Hamiltonians considered describe systems with interacting Cooper pairs and a bosonic degree of freedom. We obtain general exact solvability requirements which include seven subcases which have previously appeared in the literature.
Cite
@article{arxiv.1112.1740,
title = {A variational approach for the Quantum Inverse Scattering Method},
author = {A. Birrell and P. S. Isaac and J. Links},
journal= {arXiv preprint arXiv:1112.1740},
year = {2015}
}
Comments
18 pages, no eps figures