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Optik

Generation of maximally entangled state from a single-photon state in fiber-connected cavities

Xiangyang Yu, Jianhong Li, Xiao-bin Li

Published Jul 17, 2013• 2 citations
Publisher
DOI
10.1016/j.ijleo.2013.04.018

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We propose a scheme for implementing Greenberger-Horne-Zeilinger states for three atoms trapped in distant cavities connected by optical fibers. Under the large detuning condition, the three distant atoms are coupled via four-photon processes induced by the vacuum bosonic modes and a classical field, leading to a phase shift proportional to the square of the atomic population in a certain state. During the process, the atoms do not undergo any real transition, the cavity modes and the fiber mode are only virtually excited, and the three-atom entanglement is produced in one step.
The interaction between identical two-level atoms with a system that consists of two coupled cavities connected by an optical fiber was investigated. With new bosonic operators, the interaction Hamiltonian between the fiber and the cavities can be diagonalized (Pellizzari's model1). In the strong coupling regime (cavity field-fiber), the interaction between atoms and the non-resonant normal modes can be eliminated, simplifying our system to that of one atom interacting with a single-mode cavity. For this interaction, we have analyzed the entanglement between distant atoms. We present two simple procedures to generate two atoms in a maximally entangled state, interacting (i) successively and (ii) simultaneously with the coupled cavities system.
We propose a scheme for generating maximally entangled states for three atoms trapped in three distant cavities connected by two identical single-mode fibers. During the operation, neither the atomic system nor the fibers are excited, which is important in view of decoherence. Under certain conditions, the probability of the excited cavities can be negligible. Taking advantage of adiabatic passage, the GHZ state can be generated deterministically, and the fidelity of entanglement is insensitive to fluctuation of experimental parameters. Compared to the previous schemes, the significant advantage of the proposed scheme is that each cavity can interact with the other two directly, which can avoid the effect of indirect interaction brought about using only local quantum operator and nonlocal resources.