N M Bogoliubov et al 1996 J. Phys. A: Math. Gen. 29 6305 doi:10.1088/0305-4470/29/19/015
Exact solution of generalized Tavis - Cummings models in quantum optics
N M Bogoliubov
, R K Bullough
and J Timonen§
Quantum inverse methods are developed for the exact solution of models which describe N two-level atoms interacting with one mode of the quantized electromagnetic field containing an arbitrary number of excitations M. Either a Kerr-type nonlinearity or a Stark-shift term can be included in the model, and it is shown that these two cases can be mapped from one to the other. The method of solution provides a general framework within which many related problems can similarly be solved. Explicit formulae are given for the Rabi splitting of the models for some N and M, on- and off-resonance. It is also shown that the solution of the pure Tavis - Cummings model can be reduced to solving a homogeneous ordinary differential equation of second order. Generalization of the method to the case of several cavity modes is indicated.
- PACS
-
02.30.Hq Ordinary differential equations
32.80.-t Photoionization and excitation
42.65.Hw Phase conjugation; photorefractive and Kerr effects
- MSC
- Subjects
- Dates
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Issue 19 (7 October 1996)
Received 2 May 1996
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Exact solution of generalized Tavis - Cummings models in quantum optics
N M Bogoliubov et al 1996 J. Phys. A: Math. Gen. 29 6305
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