|
| related topics |
| {equation, function, exp} |
| {level, atom, field} |
| {operator, operators, space} |
| {time, decoherence, evolution} |
| {group, space, representation} |
| {energy, gaussian, time} |
| {state, states, coherent} |
| {photon, photons, single} |
|
Lie-type transformations and effective Hamiltonians in nonlinear quantum
optics: applications to multilevel systems
A. B. Klimov, A. Navarro, L. L. Sanchez-Soto
abstract: We 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0102050
- categories:
- quant-ph
- comments:
- 12 pages, no figures Proceedings of XXIII International Conference on
Group Theoretical methods in Physics, Dubna 2000
- arxiv_id:
- quant-ph/0102050
- created:
- 2001-02-09
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