Mathematical Structure of Rabi Oscillations in the Strong Coupling Regime

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dc.creatorFujii, Kazuyuki
dc.date2002-03-28
dc.date2002-11-20
dc.date.accessioned2026-07-07T10:55:00Z
dc.date.available2026-07-07T10:55:00Z
dc.descriptionIn this paper we generalize the Jaynes--Cummings Hamiltonian by making use of some operators based on Lie algebras su(1,1) and su(2), and study a mathematical structure of Rabi floppings of these models in the strong coupling regime. We show that Rabi frequencies are given by matrix elements of generalized coherent operators (quant--ph/0202081) under the rotating--wave approximation. In the first half we make a general review of coherent operators and generalized coherent ones based on Lie algebras su(1,1) and su(2). In the latter half we carry out a detailed examination of Frasca (quant--ph/0111134) and generalize his method, and moreover present some related problems. We also apply our results to the construction of controlled unitary gates in Quantum Computation. Lastly we make a brief comment on application to Holonomic Quantum Computation.
dc.descriptionLatex file, 24 pages. I added a new section (Quantum Computation), so this paper became self-contained in a certain sense
dc.identifierhttps://arxiv.org/abs/quant-ph/0203135
dc.identifierhttp://arxiv.org/abs/quant-ph/0203135
dc.identifierJ.Phys.A36:2109-2124,2003
dc.identifierdoi:10.1088/0305-4470/36/8/309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185983
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleMathematical Structure of Rabi Oscillations in the Strong Coupling Regime
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