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Advances in Condensed Matter Physics

Dynamical Properties of Scaled Atomic Wehrl Entropy of Multiphoton JCM in the Presence of Atomic Damping

S. Abdel‐Khalek, Mohammed Almalki, E. Edfawy

Published Jan 1, 2013• 1 citation
Publisher

Abstract

We study the dynamics of the atomic inversion, scaled atomic Wehrl entropy, and marginal atomicQ-function for a single two-level atom interacting with a one-mode cavity field taking in the presence of atomic damping. We obtain the exact solution of the master equation in the interaction picture using specific initial conditions. We examine the effects of atomic damping parameter and number of multiphoton transition on the scaled atomic Wehrl entropy, atomicQ-function, and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities in the case of different values of the number of photon transition during the time evolution.

DOI
10.1155/2013/879058

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We study the dynamics of the atomic inversion, scaled atomic Wehrl entropy, and marginal atomicQ-function for a single two-level atom interacting with a one-mode cavity field taking in the presence of atomic damping. We obtain the exact solution of the master equation in the interaction picture using specific initial conditions. We examine the effects of atomic damping parameter and number of multiphoton transition on the scaled atomic Wehrl entropy, atomicQ-function, and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities in the case of different values of the number of photon transition during the time evolution.
In this paper, we study the dynamics of the atomic inversion, scaled atomic Wehrl entropy and marginal atomic Q-function for a single two-level atom interacting with SU(1,1) quantum system. We obtain the wave function and system density matrix using specific initial conditions. We examine the effects of different parameter s on the scaled atomic Wehrl entropy, atomic Q-function and their marginal distribution. We observe an interesting monotonic relation between the different physical quantities for different values of the initial atomic position and detuning parameter
In this paper, we study the dynamics of the atomic inversion, scaled atomic Wehrl entropy and marginal atomic Wehrl density for a single two-level atom interacting with SU(1,1) quantum system. We obtain the expectation values of the atomic variables using specific initial conditions. We examine the effects of different parameters on the scaled atomic Wehrl entropy and marginal atomic Wehrl density. We observe an interesting monotonic relation between the different physical quantities for different values of the initial atomic position and detuning parameter.
In this paper we consider the influence of phase damping on the Jaynes?Cummings model (JCM) in the presence of the classical laser field. It is shown that for the temporal evolution of the atomic inversion a detuning parameter plays a role in delaying the effect of the damping. Our consideration is also extended to discuss the atomic Wehrl entropy and entropy squeezing. For the case of the marginal distribution, it is noted that the damping factor plays a considerable role in reducing the number of the fluctuations in the function behavior. On the other hand the damping factor removes the phenomenon of squeezing from both quadratures of the entropy squeezing.
In this paper, we are interested in studying entropy and dynamics entanglement between a single time dependent three-level atoms interacting with one-mode cavity field when the atomic motion is taken into account. An exact analytical solution for the wave function is given by using Schrodinger equation for a specific initial condition. The field entropy of this system is investigated in the non-resonant case. The influences of the detuning parameters and atomic motion on the entanglement degree are examined. We show that both of the detuning parameters and atomic motion play important roles in the evolution of von Neumann entropy and atomic populations. Finally, conclusion and some features are given.
The time evolution of the Wehrl entropy and Wehrl phase distribution for the multiphoton Jaynes Cummings model, where the dynamics is described by the phase-damped terms, is studied. Analytical and numerical results under certain parametric conditions are obtained by means of which we analyze the influence of dissipation on the dynamics of Husimi Q-function, Wehrl entropy and Wehrl phase distribution for different values of the Stark shift parameter. Our results show that information about the dynamical properties of the system can be obtained through the Wehrl entropy and Wehrl phase distribution from the point of view of phase-space information. An interesting relation between the correlation, Stark shift and decoherence effect is observed.
Different aspects of the interaction of a three-level atom with a single-mode radiation field are studied inside a cavity with damping. It is demonstrated that two-photon transitions emerge from cascade one-photon transitions by increasing the detuning parameters of the levels. It is also shown that a simulation of the two-level atom with one-photon transitions can be achieved by changing the detuning parameters adequately. In all cases, the influence of cavity damping is examined. Finally, we point out that the second-order field correlation function approaches its minimum value for t\ensuremath{\rightarrow}\ensuremath{\infty} in some cases.