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Chinese Physics B

Entropy squeezing of an atom with a k -photon in the Jaynes–Cummings model

Dongpeng Kang, Liao Qing-Hong, Ahamd Muhammad Ashfaq, Yueyuan Wang, Shutian Liu

Published Jan 1, 2010• 6 citations
Publisher

Abstract

The entropy squeezing of an atom with a k -photon in the Jaynes–Cummings model is investigated. For comparison, we also study the corresponding variance squeezing and atomic inversion. Analytical results show that entropy squeezing is preferable to variance squeezing for zero atomic inversion. Moreover, for initial conditions of the system the relation between squeezing and photon transition number is also discussed. This provides a theoretical approach to finding out the optimal entropy squeezing.

DOI
10.1088/1674-1056/19/1/014206

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The entropy squeezing of an atom with a k -photon in the Jaynes–Cummings model is investigated. For comparison, we also study the corresponding variance squeezing and atomic inversion. Analytical results show that entropy squeezing is preferable to variance squeezing for zero atomic inversion. Moreover, for initial conditions of the system the relation between squeezing and photon transition number is also discussed. This provides a theoretical approach to finding out the optimal entropy squeezing.
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).
We study the squeezing for a two-level atom in the Jaynes-Cummings model with intensity-dependent coupling using quantum information entropy and examine the influences of the initial state of the system on the squeezed component number and direction of the information entropy squeezing. Our results show that, the squeezed component number depends on the atomic initial distribution angle, while the squeezed direction is determined by both the phases of the atom and the field for the information entropy squeezing. Quantum information entropy is shown to be a remarkable precision measure for atomic squeezing.
The quatum statistical properties of two-photon radiation from two-level atomic system are investigated by using complete set in the nth subspace of generalized Jaynes-Cummings hamiltonian, and the general expression for field variance is obtained. The conditions for optimum squeezing as well as the optimum squeezed quantity are found out for an arbitrary initial state, and the time evolution of the optimum squeezed state is then analysed. As an example, the squeezing in an initial state with bare atomic system in thermal equilibrium is discussed, which demonstrates the dependence of squeezing on several parameters, such as, temperature, detuning, coupling strength. The conditions for squeezing are given analytically and numerically. Finally, the physical picture of the squeezing is pointed out.
The information entropy squeezing properties of the atom interacting with the Glauber-Lachs state in multi-photon Jaynes-Cummings model are studied by means of the full quantum theory.The influences of the mean number of the coherent photons,the average number of the thermal photons,the number of the transition photons and the atomic initial state on the information entropy squeezing of the atom are discussed.The results indicate that there is no entropy squeezing in the Xcomponent of information entropy of the atom at any instant of the time evolution of the system.But there exists an entropy squeezing in the Ycomponent of information entropy of the atom during the time evolution when the mean number of coherent photons takes an appropriate value.The mean number of thermal photons and the number of the transition photons have a destructive effect on the Ycomponent of information entropy of the atom.The atomic initial state has no effect on the entropy squeezing in the Ycomponent of information entropy of the atom.If the number of the transition photons equals to two,the time evolution of the entropy squeezing factor appears periodic change.