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Chinese Journal of Quantum Electronics

Quantum properties of k-photon Jaynes-Cummings model in a Kerr Medium

Liao Qing-Hong

Published Jan 1, 2013• 0 citations
OpenAlex

Abstract

The system under consideration consists of a two-level atom coupled an optical field in k-photon Jaynes-Cummings model with a Kerr medium.The time evolution of field entropy squeezing and population inversion of the atom for three and four-photon transitions was discussed.The influence of Kerr medium on field entropy squeezing and population inversion of the atom was also analyzed.The results show that the field entropy squeezing and population inversion of the atom are sensitive to effect of Kerr medium.

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The system under consideration consists of a two-level atom coupled an optical field in k-photon Jaynes-Cummings model with a Kerr medium.The time evolution of field entropy squeezing and population inversion of the atom for three and four-photon transitions was discussed.The influence of Kerr medium on field entropy squeezing and population inversion of the atom was also analyzed.The results show that the field entropy squeezing and population inversion of the atom are sensitive to effect of Kerr medium.
The interaction between a two-level atom and a single-mode field in the k -photon Jaynes—Cummings model (JCM) in the presence of the Stark shift and a Kerr medium is studied. All terms in the Hamiltonian, such as the single-mode field, its interaction with the atom, the contribution of the Stark shift and the Kerr medium effects are considered to be f -deformed. In particular, the effect of the initial state of the radiation field on the dynamical evolution of some physical properties such as atomic inversion and entropy squeezing are investigated by considering different initial field states (coherent, squeezed and thermal states).
The field entropy squeezing properties in the nonlinear Jaynes-Cummings model are studied by means of quantum information entropy, and the influences of the nonlinear interaction of the Kerr medium with the model field and the initial state of atoms on the field entropy squeezing are discussed. It shows that the nonlinear interaction of the Kerr medium can lead to an increase in the squeezing depth. On the other hand, the squeezing time and the squeezing depth increases with the increase of the atomic distribution angle.
The full quantum theory is applied to the investigation of the entanglement between atom and field and the losses of coherence of the total system and its subsystems in the Jaynes-Cummings model with a Kerr medium.Linear entropies of the system,the atom and the field are calculated under the assumptions of dispersive atom-field interaction and initial coherent field states.The results show that the coherence loss of the atom is independent of the Kerr effect,the coherence loss of the system and that of the field are enhanced by the presence of the Kerr medium,and the entanglement between atom and field is suppressed by the medium.The time evolution of field entropy is affected by the cavity dissipation qualitatively as well as quantitatively.Only through cavity dissipation can the influence of Kerr effect on field entropy exhibit.
The properties of the displaced Fock states (DFS's) superpositions are reviewed. The interaction of these states with a two-level atom in cavity with the presence of additional Kerr medium is studied. Exact general matrix elements of the time-dependent operators of a Jaynes-Cummings model (JCM), in the presence of a Kerr medium, with these states are derived. The atomic inversion and photon number distribution are discussed. The quantum entropy and the entanglement of the atom-field are investigated. The exact results are employed to perform a careful investigation of the temporal evolution of the entropy. The connection between the field entropy and the collapses and revivals of the atomic inversion has been established. The general conclusions reached are illustrated by numerical results.
The time evolution of the linear entropy of an atom in k-photon Jaynes–Cummings model is investigated taking into consideration Stark shift and Kerr-like medium. The effect of both the Stark shift and Kerr-like medium on the linear entropy is analyzed using a numerical technique for the field initially in coherent state and in even coherent state. The results show that the presence of the Kerr-like medium and Stark shift has an important effect on the properties of the entropy and entanglement. It is also shown that the setting of the initial state plays a significant role in the evolution of the linear entropy and entanglement.
In this paper a two-photon Jaynes-Cummings model interacting with a Kerr-like medium is studied. It is assumed that the electromagnetic field is in different states such as coherent, squeezed vacuum and pair coherent, and that the atom is initially in the excited state. The temporal evolution of the population of the excited level, and the second-order coherence function are studied. The results obtained show that this system has some similarities with the two-mode Stark system. Two photon entanglement are analysed at different initial conditions.