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arXiv:1201.0248 · Optics Express

Generation of three-dimensional entangled state between a single atom and a Bose-Einstein condensate via adiabatic passage

Libo Chen, Peng Shi, Chunhong Zheng, Yongjian Gu

Published Jun 14, 2012• 29 citations
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Abstract

Inspired by a recently experiment by M. Lettner et al. [Phys. Rev. Lett. 106, 210503 (2011)], we propose a robust scheme to prepare three-dimensional entanglement state between a single atom and a Bose-Einstein condensate (BEC) via stimulated Raman adiabatic passage (STIRAP) technique. The atomic spontaneous radiation, the cavity decay, and the fiber loss are efficiently suppressed by the engineering adiabatic passage. Our strictly numerical simulation shows our proposal is good enough to demonstrate the generation of three-dimensional entanglement with high fidelity and within the current experimental technology.

DOI
10.1364/oe.20.014547

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We propose several robust schemes to prepare entangled states among spatially separated $\ensuremath{\Lambda}$-type atoms via stimulated Raman adiabatic passage and fractional stimulated Raman adiabatic passage techniques. The atomic spontaneous radiation, the cavity decay, and the fiber loss are efficiently suppressed by engineering adiabatic passage and controlling appropriately atom-field couplings. The schemes can be extended to generate the nnn-cavity mode WWW state.
The process of stimulated Raman adiabatic passage (STIRAP) provides a possible route for the generation of a coherent molecular Bose-Einstein condensate (BEC) from an atomic BEC. We analyze this process in a three-dimensional mean-field theory, including atom-atom interactions and nonresonant intermediate levels. We find that the process is feasible, but at larger Rabi frequencies than anticipated from a crude single-mode lossless analysis, due to two-photon dephasing caused by the atomic interactions. We then identify optimal strategies in STIRAP allowing one to maintain high conversion efficiencies with smaller Rabi frequencies and under experimentally less demanding conditions.
We propose a scheme for deterministically generating entanglement between two distant microwave cavities that interact with two single-molecule magnets (SMMs) and are connected by an optical fiber. In our scheme, the spontaneous decay of SMMs and photons damping in the fiber are efficiently suppressed via employing the stimulated Raman adiabatic passage (STIRAP). To check the experimental feasibility of our scheme, we numerically simulated the effects of some deviations of experimental parameters, and the numerical simulation shows that our scheme is robust with respect to those experimental parameters. We also discuss the effects of cavity damping, and as a result our proposal is good enough to demonstrate the generation of entanglement of microwave cavities within current experimental technology.
Recently, Zhou et al. [Phys. Rev. A 79 (2009) 044304] proposed a scheme for transferring three-dimensional quantum states between remote atomic qubits confined in cavities connected by fibers through adiabatic passage. In order to avoid the decoherence due to spontaneous emission, Zhou et al. utilized the large detuning atom-field interaction. In the present paper, we discuss the influence of dissipation on the scheme in both the resonant atom-field interaction case and the large detuning case. We numerically analyze the success probability and the transferring fidelity. It is shown that the resonant case is a preferable choice for the technique of the stimulated Raman adiabatic passage (STIRAP) due to the shorter operation time and the smaller probability of dissipation.
We propose an adiabatic passage approach to generate two atoms three-dimensional entanglement with the help of quantum Zeno dynamics in a time-dependent interacting field. The atoms are trapped in two spatially separated cavities connected by a fiber, so that the individual addressing is needless. Because the scheme is based on the resonant interaction, the time required to generate entanglement is greatly shortened. Since the fields remain in vacuum state and all the atoms are in the ground states, the losses due to the excitation of photons and the spontaneous transition of atoms are suppressed efficiently compared with the dispersive protocols. Numerical simulation results show that the scheme is robust against the decoherences caused by the cavity decay and atomic spontaneous emission. Additionally, the scheme can be generalized to generate N-atom three-dimensional entanglement and high-dimensional entanglement for two spatially separated atoms.