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Communications in Theoretical Physics

Dynamics of Information Entropies of Atom-Field Entangled States Generated via the Jaynes–Cummings Model

Razieh Pakniat, Mohammad Kazem Tavassoly, Mohammad Hossein Zandi

Published Mar 1, 2016• 5 citations
Publisher

Abstract

Abstract In this paper we have studied the dynamical evolution of Shannon information entropies in position and momentum spaces for two classes of (nonstationary) atom-field entangled states, which are obtained via the Jaynes–Cummings model and its generalization. We have focused on the interaction between two- and Ξ-type three-level atoms with the single-mode quantized field. The three-dimensional plots of entropy densities in position and momentum spaces are presented versus corresponding coordinates and time, numerically. It is observed that for particular values of the parameters of the systems, the entropy squeezing in position space occurs. Finally, we have shown that the well-known BBM (Beckner, Bialynicki-Birola and Mycielsky) inequality, which is a stronger statement of the Heisenberg uncertainty relation, is properly satisfied.

DOI
10.1088/0253-6102/65/3/266

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Abstract In this paper the damped interaction between a Ξ -type three-level atom and a quantized single-mode cavity field is studied, where the Hamiltonian of the field is performed based on the Caldirola–Kanai damping Hamiltonian . The amplitude probabilities of the atom–field entangled state associated with the system considered have been explicitly deduced and the time evolution of a few of its physical properties is discussed. In detail, the influence of the damping parameter on the temporal behavior of the linear entropy, sub-Poissonian statistics as well as quadrature and amplitude squared squeezing is numerically investigated. Besides these, as an additional purpose of the paper, the effects of the initial field type as well as the initial mean photon number of the field on the above-mentioned properties are evaluated numerically. It is shown that via adjusting the damping parameter, initial field and its intensity, one can tune the degree of entanglement and other nonclassicality features.
We examine the single-atom entropy squeezing and the atom–field entanglement in a system of two moving two-level atoms interacting with a single-mode coherent field in a lossless resonant cavity. Our numerical calculations indicate that the squeezing period, the squeezing time and the maximal squeezing can be controlled by appropriately choosing the atomic motion and the field-mode structure. The atomic motion leads to a periodical time evolution of entanglement between the two-atom and the field. Moreover, there exists corresponding relation between the time evolution properties of the atomic entropy squeezing and that of the entanglement between the two atoms and the field.
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