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International Journal of Quantum Information

NONLINEAR EFFECTS ON THE ENTANGLEMENT BETWEEN QUANTIZED ELECTROMAGNETIC FIELDS AND 3-LEVEL ATOMS

Behrooz Vaseghi, G. Rezaei, Sara Khorshidian

Published Oct 1, 2011• 1 citation
Publisher

Abstract

In this paper, we study the entanglement dynamics, its measure, and mean photon number of the field in the interaction between a quantized electromagnetic field and a 3-level atom surrounded by a nonlinear Kerr-like medium. Using the density matrix approach, we have calculated the time evolution of the entanglement and its magnitude at an arbitrary time, for different nonlinear coupling constant. Moreover, to show the effects of nonlinearity on the atom–field interaction and its relation with the entanglement the mean photon number of the field is also presented as a function of nonlinear coupling strength, χ. The results show that, envelope of entanglement fluctuation, their duration and amplitude strongly depend on the nonlinear coupling strength. Since the entanglement decreases with increasing nonlinearity, the mean number of photons reaches a constant value as a result of absorption increment by the surrounding medium.

DOI
10.1142/s0219749911008295

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The interaction of a three-level atom in the V -configuration with a single-mode field under the mechanism of a multi-photon transition is studied. Influences of different possible choices of the atomic initial state, the mean photon number, the nonlinearity of the Kerr-like medium and the detuning parameters within various forms of the intensity-dependent atom–field couplings on the von Neumann entropy are analyzed. Simple analytical expressions of the unitary time evolution and density operators in the context of the framework of the dressed states are derived. General conclusions reached are illustrated by numerical results.
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.
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