Dual algebraic structures for the two-level pairing model

Details Dual algebraic structures for the two-level pairing model Dual algebraic structures for the two-level pairing model

2011-02-08

arxiv.org/abs/1102.1482v1

J. Phys. A 44, 075303 (2011)

Physics

Quantum Physics

34 pages, 5 figures; published in J. Phys. A

Scientific paper

10.1088/1751-8113/44/7/075303

Duality relations are explicitly established relating the Hamiltonians and basis classification schemes associated with the number-conserving unitary and number-nonconserving quasispin algebras for the two-level system with pairing interactions. These relations are obtained in a unified formulation for both bosonic and fermionic systems, with arbitrary and, in general, unequal degeneracies for the two levels. Illustrative calculations are carried out comparing the bosonic and fermionic quantum phase transitions.

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