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arXiv:nlin/0602032 · Nuclear Physics B

A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons

Katrina Hibberd, Clare Dunning, Jon Links

Published May 23, 2006• 6 citations
arXivHTMLPDF
DOI
10.1016/j.nuclphysb.2006.04.026

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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 theory, and Bose–Einstein condensation. 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 that have previously appeared in the literature.