Exact boson mapping of the reduced BCS pairing Hamiltonian

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An exact boson mapping of the reduced BCS (equal strength) pairing Hamiltonian is considered. In the mapping, fermion pair operators are mapped exactly to the corresponding bosons. The image of the mapping results in a Bose-Hubbard model with level dependent hopping. Though the resultant Bose-Hubbard Hamiltonian is non-Hermitian, all eigenvalues are real when Uk/t< 1, where k is the total number of bosons. When U/t=1, a part of spectrum of the Bose-Hubbard Hamiltonian corresponds exactly to the whole spectrum of the reduced BCS pairing Hamiltonian.
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Nuclear Theory, Strongly Correlated Electrons

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http://salesiana.dossiersoluciones.com/handle/123456789/124911

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nucl-th/0703007
 http://arxiv.org/abs/nucl-th/0703007

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arXiv