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Bulletin of the American Physical Society

Entanglement Dynamics of Two-Atom Jaynes-Cummings Model under Phase Telegraph Noise

Huseyin Karacali, Resul Eryiğit

Published Mar 8, 2007• 0 citations
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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.
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.