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Chinese Journal of Physics

One-Step Generation of Maximally Entangled States for Three Atoms Trapped in Separated Cavities

LU Dao-ming, Shi-Biao Zheng

Published Oct 1, 2012• 2 citations
OpenAlex

Abstract

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.

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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.
We propose two schemes for generating Greenberger-Horne-Zeilinger and W states of three distant atoms. In the present schemes, the atoms are individually trapped in three spatially separated optical cavities coupled by two optical fibres. Performing an adiabatic passage along dark states, the population of cavities and fibres excited is negligible under certain conditions. In addition, the spontaneous decay of atoms is also efficiently suppressed based on our proposals. Furthermore, the discussion about the entanglement fidelity is given and we point out that our schemes work robustly with small fluctuations of experimental parameters.
We propose a scheme to deterministically generate Greenberger–Horne–Zeilinger states of N≥3 atoms trapped in spatially separated cavities connected by optical fibers. The scheme is based on the technique of fractional stimulated Raman adiabatic passage, which is a one-step technique in the sense that one needs only to wait for the desired entangled state to be generated in the stationary regime. The parametrized shapes of the Rabi frequencies of the classical fields that drive the two end atoms are chosen appropriately to realize the scheme. We also show numerically that the proposed scheme is insensitive to fluctuations of the pulses’ parameters and, at the same time, that it is robust against decoherence caused by the dissipation due to fiber decay. Moreover, a relatively high fidelity can be obtained even in the presence of cavity decay and atomic spontaneous emission.
A scheme is proposed for the deterministic generation of three-dimensional entanglement of two distant atoms separately trapped in two optical cavities connected by an optical fiber. Employing adiabatic passage along dark states, the atoms are always in ground states, in particular, the fiber mode remains in the vacuum state due to the quantum destructive interference, and the population of the cavities being excited can be negligible under certain conditions. In this sense, our scheme constructs an effective way to avoid the atomic spontaneous emission and the decays of fiber and cavities.
Based on the interference effect of polarized photons leaking out of separate cavities, we propose schemes for the generation of the N -atom Greenberger–Horne–Zeilinger (GHZ) state, three-atom W state and a genuine four-atom entangled state |χ⟩. In these schemes, each of the atoms is trapped separately in a remote optical cavity, and the possible spontaneous channels induced by the excited atoms lead to the coherent superposition of the states of the atoms. The desired multipartite entangled states can be generated with a certain success probability by the subsequent detection of the polarized photons in different modes. The schemes would be useful steps towards long-distance quantum communication, distributed quantum computation and constructing remote quantum information processing networks.
We propose a scheme for generating an entangled state for three atoms trapped in separate optical cavities that are coupled to each other through two optical fibers based on coherent driving and dissipation, which are induced by the classical fields and the decay of non-local bosonic modes, respectively. In our scheme, the interaction time need not be controlled strictly in the overall dynamics process, and the cavity field decay can be changed into a vital resource. The numerical simulation shows that the fidelity of the target state is insensitive to atomic spontaneous emission, and our scheme is good enough to generate the W state of distant atoms with a high fidelity and purity. In addition, the present scheme can also be generalized to prepare the N -partite W state of distant atoms.
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