Effective Hamiltonians in quantum optics: a systematic approach

dc.creatorKlimov, A. B.
dc.creatorSanchez-Soto, L. L.
dc.creatorNavarro, A.
dc.creatorYustas, E. C.
dc.date2002-09-02
dc.date.accessioned2026-07-07T06:04:52Z
dc.date.available2026-07-07T06:04:52Z
dc.descriptionWe discuss a general and systematic method for obtaining effective Hamiltonians that describe different nonlinear optical processes. The method exploits the existence of a nonlinear deformation of the usual su(2) algebra that arises as the dynamical symmetry of the original model. When some physical parameter, dictated by the process under consideration, becomes small, we immediately get a diagonal effective Hamiltonian that correctly represents the dynamics for arbitrary states and long times. We extend the technique to su(3) and su(N), finding the corresponding effective Hamiltonians when some resonance conditions are fulfilled.
dc.description13 Pages, no figures, submitted for publication
dc.identifierhttps://arxiv.org/abs/quant-ph/0209013
dc.identifierhttp://arxiv.org/abs/quant-ph/0209013
dc.identifierJ. Mod. Opt 49, 2211-2226 (2002)
dc.identifierdoi:10.1080/09500340210134675
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90461
dc.subjectQuantum Physics
dc.titleEffective Hamiltonians in quantum optics: a systematic approach
dc.typetext

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