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Laser Physics

Entanglement for a general formalism of a three-level atom in a V-configuration interacting nonlinearly with a non-correlated two-mode field

A.‐S. F. Obada, Sadek Ahmed Hanoura, A. A. Eied

Published Mar 15, 2013• 17 citations
Publisher

Abstract

A model of a three-level atom V-configuration interacting with a two-mode field through the mechanism of multi-photon transition is studied. The effects of mean photon numbers, detuning, and the Kerr-like medium parameters are investigated within various forms of the intensity-dependent coupling functional. Analytical expressions for the time evolution and the reduced atomic density operators of the system are obtained in the context of the framework of the dressed states. The atom is prepared in its uppermost excited state and the fields are prepared in binomial states. General conclusions reached are illustrated by numerical results.

DOI
10.1088/1054-660x/23/5/055201

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A model of a three-level atom V-configuration interacting with a two-mode field through the mechanism of multi-photon transition is studied. The effects of mean photon numbers, detuning, and the Kerr-like medium parameters are investigated within various forms of the intensity-dependent coupling functional. Analytical expressions for the time evolution and the reduced atomic density operators of the system are obtained in the context of the framework of the dressed states. The atom is prepared in its uppermost excited state and the fields are prepared in binomial states. General conclusions reached are illustrated by numerical results.
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A model of a three-level atom in the Λ-configuration interacting with a two-mode field under a multi-photon process is considered. The effects of the mean photon numbers, detuning, Kerr-like medium parameters and various forms of the intensity-dependent coupling functional are considered. Analytical expressions for the time unitary operator, the density operator and the final state of the system are analyzed via the framework of the dressed states. The atom is prepared in its upper excited state, and the fields are prepared in binomial states. The general conclusions reached are illustrated by numerical results displaying the effects of photon-number, detuning and nonlinearities of both the field and intensity-dependent atom–field couplings.
We investigate the evolution of the atomic quantum entropy and the atom–field entanglement in a system of a Λ-configuration three-level atom interacting with a two-mode field with additional forms of nonlinearities of both the field and the intensity-dependent atom–field coupling. With the derivation of the unitary operator within the frame of the dressed state and the exact results for the state of the system we perform a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, considering the field to be initially in a non-correlated two-mode squeezed coherent or binomial state. The effects of the mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are analysed.
We study the interaction of a multi-photon three-level atom with a single mode field in a cavity, taking explicitly into account the existence of forms of nonlinearities of both the field and the intensitydependent atom-field coupling. The analytical form of the emission spectrum is calculated using the dressed states of the system. The effects of photon multiplicities, mean photon number, detuning, Kerr-like medium, and the intensity-dependent coupling functional on the emission spectrum are analyzed.
We investigate the evolution of the atomic quantum entropy and the atom-field entanglement in a system of a Ξ-configuration three-level atom interacting with a single-mode field with additional forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. With the derivation of the unitary operator within the frame of the dressed state and the exact results for the state of the system, we perform a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, considering the field to be initially in a squeezed coherent or binomial state. The effects of the mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are analyzed.
We study the interaction of a multi-photon three-level atom with a single mode field in a cavity, taking explicitly into account the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. The analytical forms of the emission spectrum is calculated using the dressed states of the system. The effects of photon multiplicities, mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the emission spectrum are analyzed.