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Open Quantum Systems Decoherence
Quantum Simulation
Effective su_q(2) models and polynomial algebras for fermion-boson Hamiltonians
arXiv
Authors: Angel Ballesteros, Osvaldo Civitarese, Francisco J. Herranz, Marta Reboiro
Year
2007
Paper ID
49565
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
Schematic su(2)+h3 interaction Hamiltonians, where su(2) plays the role of the pseudo-spin algebra of fermion operators and h3 is the Heisenberg algebra for bosons, are shown to be closely related to certain nonlinear models defined on a single quantum algebra q-su(2) of quasifermions. In particular, q-su(2) analogues of the Da Providencia-Schutte and extended Lipkin models are presented. The connection between q and the physical parameters of the fermion-boson system is analysed, and the integrability properties of the interaction Hamiltonians are discussed by using polynomial algebras.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Schematic su(2)+h3 interaction Hamiltonians, where su(2) plays the role of the pseudo-spin algebra of fermion operators and h3 is the Heisenberg algebra for bosons, are shown...
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