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International Journal of Theoretical Physics

Dynamical Creation of Entanglement and Steady Entanglement Between Two Spatially Separated Λ-Type Atoms

Yang Guo, Xiang Yang Miao, Jun Feng Zhang

Published Jan 29, 2010• 1 citation
Publisher
DOI
10.1007/s10773-010-0256-y

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The dynamics of entanglement between two-level atoms interacting with a common squeezed reservoir is investigated. It is shown that for spatially separated atoms there is a unique asymptotic state depending on the distance between the atoms and the atom-photons detuning. In the regime of strong correlations there is a one-parameter family of asymptotic steady states depending on the initial conditions. In contrast to the thermal reservoir, both types of asymptotic states can be entangled. We calculate the amount of entanglement in the system in terms of concurrence.
Based on the dispersive atom–field interaction, a scheme is proposed for deterministically generating entanglement between two Λ-type atoms, which are trapped individually in two spatially separated cavities coupled by an optical fibre. In the present scheme, it is found that the atomic spontaneous decay and photon leakage out of the fibre can be efficiently suppressed via choosing appropriately the frequency detuning of atom–field and the coupling intensity of cavity–fibre, respectively. The influence of photon leakage out of the cavities is also discussed, and the strictly numerical simulation shows that our proposal is good enough to demonstrate the generation of entanglement between two distant atoms with high fidelity.
We consider a system consisting of a Λ-type atom and a V-type atom which are individually trapped in two spatially separated cavities that are connected by an optical fiber.The evolutions of the excitions of atom 1,atom 2,cavity A,cavity B and fiber mode are given.We discuss the influence of cavity-fiber coupling coefficient on the excitions.The results obtained by the numerical method show that the excitions of cavity A and cavity B decrease with increase of the cavity-fiber coupling coefficient.On the other hand,the excition of fiber mode shows a nonlinear variation with increase of the cavity-fiber coupling coefficient.