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Applied Mathematics & Information Sciences

Quantum Information Features Attendant to Atomic Spontaneous Decay

A.‐S. F. Obada, S. Abdel‐Khalek, M. E. Shaheen

Published Jan 11, 2014• 1 citation
Publisher

Abstract

Abstract: The effect of atomic spontaneous decay is considered for a two-level atom interacting with a single mode of electromagnetic field.The exact solution of the master equation is found for a chosen initial state. We study the effects of atomic decay on information and entanglement through temporal evolution of atomic quantum Fisher information, partial entropy of the atom and negativity.

DOI
10.12785/amis/080328

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Abstract: The effect of atomic spontaneous decay is considered for a two-level atom interacting with a single mode of electromagnetic field.The exact solution of the master equation is found for a chosen initial state. We study the effects of atomic decay on information and entanglement through temporal evolution of atomic quantum Fisher information, partial entropy of the atom and negativity.
The atomic decay for a two level atom interacting with a single mode of electromagnetic field is considered. In particular for a coherent state or statistical mixture (SM) of two opposite coherent states as initial field states, the exact solution of the master equation is found. Effect of the atomic damping on the partial entropies of the atom or the field and the total entropy as a measures of the purity loss is investigated. The degree of entanglement by the negativity and the mutual information and the atomic coherence through the master equation is studied.
In this presentation, we considered the atomic decay (but not for the cavity) for a two-level atom interacting with a single mode of electromagnetic field. The exact solution of the master equation in the case of a high-Q cavity with atomic decay is found. The effects of the atomic damping for a thermal reservoir on the temporal evolution of partial entropies of the atom or the field, and the total entropy as a quantitative entanglement, was measured. The degree of entanglement, through the sum of the negative eigenvalues of the partially transposed density matrix and the negative mutual information, has been studied and compared with other measures.
In this paper, we investigate the temporal evolution of various measures of degree of entanglement and total correlation of a single-mode light field interacting with a two-level atom. The phase-damped cavity is taken into account. The effects of phase damping on a temporal of partial entropies for the atom and the field, total entropy, the entropy difference and the sum of negative eigenvalues of the partially transposed density matrix as a quantitative entanglement measure for the master equation in the dressed-state approximation are taken into account.
The influence of time dependence on the model which consists of two qubits interacting with a two-mode electromagnetic field of the parametric amplifier type is investigated. The analytical solution of the wave function is obtained. The quantum Fisher information, entanglement and population inversion for a time-dependent system are analyzed. The photon statistics of a single-mode are quantified by the evolution of the Mandel parameter. Our results showed that there exists a positive relationship between the time-dependent parameter and entanglement. In other words, the time-dependent parameter due to the degree of entanglement is increased. Also, the quantum quantifier is strongly affected by the time-dependent coupling parameter in the absence and presence of the detuning parameter. This enables new parameters to control the degree of entanglement and quantum Fisher information, especially in quantum communication.