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AIP conference proceedings

Entanglement Properties of Three Atoms‐One Field Interaction Under Random Phase Telegraph Noise

Cenap Özel, Duygu Isgoren, Hünkar Kayhan, Aliekber Aktă

Published Jan 1, 2010• 0 citations
Publisher

Abstract

In this paper, we studied a system of three atoms with a cavity field interacting stochastically under a random phase telegraph noise (RPTN). The Jaynes‐Cummings‐two level atom‐ model with the RPTN is considered. An analytic (exact) solution for the system is obtained and examined for three atoms entanglement properties. The fidelity of this subsystem is calculated to observe whether three atoms that are in a three‐partite mixed state do not become genuinely three‐partite entangled when RPTN is present.

DOI
10.1063/1.3525199

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In this paper, we studied a system of three atoms with a cavity field interacting stochastically under a random phase telegraph noise (RPTN). The Jaynes‐Cummings‐two level atom‐ model with the RPTN is considered. An analytic (exact) solution for the system is obtained and examined for three atoms entanglement properties. The fidelity of this subsystem is calculated to observe whether three atoms that are in a three‐partite mixed state do not become genuinely three‐partite entangled when RPTN is present.
In this paper, a system consisting of one atom coupled to two identical optical cavities in a stochastic interaction is investigated for the entanglement properties between the constituents by the Jaynes–Cummings model. The noise is considered to be the random phase telegraph noise and an exact solution of the model under this noise is obtained. The effects of the noise on the entanglement of the system reveal that the genuine three-partite entanglement cannot appear in the evolution of the system even in the presence of the random phase telegraph noise. The fields and the atom do not entangle with each other. However, the noise is cooperative and constructive in building a strong steady state field–field entanglement. Therefore, the separable state of the atom plays the role of a catalyst in the entanglement between the states of the cavity fields.
In this study, we continue to consider stochastic processes in the atom‐field interaction for two atoms‐two fields interaction subject to random phase telegraph noise. An exact solution to the system is obtained by Jaynes‐Cumming Model to study the entanglement properties of the three‐partite entanglement of two atoms‐field sub‐system. The fidelity is adopted to evaluate the entanglement properties. We observe that two atoms‐field subsystem interaction does not entangle under the noise.
The entanglement dynamics in a system of the interaction of an atom with a single-mode cavity field in the presence of noise is studied by the Jaynes-Cummings model. Random phase telegraph noise is considered as the noise in the interaction and an exact solution to the model under this noise is obtained. The obtained solution is used to investigate the entanglement dynamics of the atom-field interaction. The mutual entropy is adopted for the quantification of the entanglement in the interaction. It is found that the entanglement is a non monotonic function of the intensity of the noise. The degree of the entanglement decreases to a minimum value for an optimal intensity of the noise and then increases for a sufficiently large intensity.
The Jaynes-Cummings model of a two-level atom interacting with a single quantized mode of radiation field is generalized to include the effects of stochastic fluctuations in the atom-field coupling. The coupling coefficient is assumed to fluctuate either in phase or in frequency. The fluctuations are modeled by binary random telegraph processes. Invoking the Markovian property of the telegraph noise, we derive in these two cases an equation for the density operator averaged over the distribution of fluctuations. The solution of this equation is used to study the resulting decoherence effects in the dynamical behavior of the atom and the statistical properties of the field.
The Jaynes-Cummings model of a two-level atom interacting with a single quantized mode of radiation field is generalized to include the effects of stochastic phase fluctuations in the atom-field coupling coefficient. The fluctuations are modelled by random telegraph process and an equation for the density operator averaged over the distribution of fluctuations has been obtained. The solution of this equation is used to study the resulting decoherence effects in the dynamical behaviour of the atom and the statistical properties of the field.