Lie-type transformations and effective Hamiltonians in nonlinear quantum optics: applications to multilevel systems

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dc.creatorKlimov, A. B.
dc.creatorNavarro, A.
dc.creatorSanchez-Soto, L. L.
dc.date2001-02-09
dc.date.accessioned2026-07-07T06:01:37Z
dc.date.available2026-07-07T06:01:37Z
dc.descriptionWe reelaborate on a general method for diagonalizing a wide class of nonlinear Hamiltonians describing different quantum optical models. This method makes use of a nonlinear deformation of the usual su(2) algebra and when some physical parameter, dictated by the particular model under consideration, becomes small, it gives a diagonal effective Hamiltonian that describes correctly the dynamics for arbitrary states and long times. We extend the technique to $N$-level atomic systems interacting with quantum fields, finding the corresponding effective Hamiltonians when the condition of $k$-photon resonance is fulfilled.
dc.description12 pages, no figures Proceedings of XXIII International Conference on Group Theoretical methods in Physics, Dubna 2000
dc.identifierhttps://arxiv.org/abs/quant-ph/0102050
dc.identifierhttp://arxiv.org/abs/quant-ph/0102050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89320
dc.subjectQuantum Physics
dc.titleLie-type transformations and effective Hamiltonians in nonlinear quantum optics: applications to multilevel systems
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