Jaynes-Cummings model with atomic motion

Vasileios Bartzis

Jiaren Liu, Yuzhu Wang

The exact time dependence of the density operator and various physical quantities for the motion-quantized Jaynes-Cummings models (MQJCMs) is given using the operator transformation under which it is shown that the MQJCMs have the same dynamics as the ordinary JCMs in the Kerr medium. The quantum collapses and revivals of the atomic motion due to the quantum properties of light fields and the quantization of atomic position and momentum, are predicted. The effects of the initial atomic momentum distribution and the arbitrary intensity-dependent medium on the collapse and revival phenomena of the population inversion, atomic momentum and radiation are formulated in detail. \textcopyright{} 1996 The American Physical Society.

Amitabh Joshi

Liu Tang

The fidelities of quantum states of system in Jaynes Cummings model containing atomic motion under action of coherent field are studied. The influence of atomic motion and the field mode structure on the fidelities of quantum states of system in different atomic initial states is discussed. The result indicates that both the atomic motion and the field mode structure can modulate the fidelities of quantum states in the system of interaction.

Yuanjie Li, Gang Wang, Ying Wu

Alexander V. Gorokhov, Ilya E. Sinaiski

The Jaynes-Cummings model (JCM) of two-level atom interacting with the photon mode in ideal cavity plays an essential role in modern quantum optics. In previous papers 1,2 an exact form of density matrix of the JCM with fixed atom position and photons dissipation was found. Here, taking into account the classical motion of the atom through the cavity, it is considered a case of nonideal cavity with zero temperature. We have obtained an exact expression for density matrix and calculated photon spectra and spectra of the mean number of photons in a cavity and and time dependencies of some values relevant for the one-atom maser theory.