Coherent Jaynes-Cummings dynamics modified by a quasi-instantaneous perturbation of the two-level system
Istok P. Mendaš · Journal of Physics A Mathematical and General · 2001
The coherent Jaynes-Cummings (JC) dynamics modified by a quasi-instantaneous perturbation of the two-level system is discussed, and the corresponding evolution operator is determined with the help of the anticommutator analogue of the Baker-Hausdorff lemma. The evolution operator leads to a coherent superposition of two JC evolutions, one with the original values of the coupling constant and detuning, and the other with the modified, effective values of these parameters followed (in the resonant case) by a phase pulse. This leads to various possibilities for controlling and modifying the final state of the harmonic oscillator depending on the choice of the initial state and the perturbing phase and on the instant the perturbation acts.