An approach to the time-dependent Jaynes-Cummings model without the rotating wave approximation

Details An approach to the time-dependent Jaynes-Cummings model without the rotating wave approximation An approach to the time-dependent Jaynes-Cummings model without the rotating wave approximation

2003-11-20

arxiv.org/abs/quant-ph/0311140v1

Physics

Quantum Physics

4 pages, Latex

Scientific paper

This report presents an approach to the exact solutions of the time-dependent Jaynes-Cummings (J-C) model without the rotating wave approximation (RWA). It is shown that there is a squeezing-operator unitary transformation for relating the J-C model without RWA and the one with RWA. Thus by using an appropriate squeezing unitary transformation, the time-dependent J-C model without RWA can be transformed into the one with RWA that has been exactly solved previously, and based on this one can readily obtain the exact solutions of the time-dependent Jaynes-Cummings (J-C) model without RWA. The approach presented here also shows that we can treat these two kinds of time-dependent J-C models (both with and without RWA) in a unified way.

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