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Physical Review A

Engineering steady three-atom singlet states via quantum-jump-based feedback

Xiao‐Qiang Shao, Tai-Yu Zheng, Shou Zhang

Published Apr 9, 2012• 42 citations
Publisher

Abstract

A scheme is presented for generating steady three-atom singlet states via three V-type atoms interacting with a strongly dissipative two-mode cavity. The local quantum feedback control is applied based on quantum-jump detection to make the target state fidelity as high as possible. This scheme is insensitive to detection inefficiencies since it only delays the time at which stationarity is achieved. Nevertheless, the spontaneous emission plays a negative role in the current system.

DOI
10.1103/physreva.85.042308

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A scheme is presented for generating steady three-atom singlet states via three V-type atoms interacting with a strongly dissipative two-mode cavity. The local quantum feedback control is applied based on quantum-jump detection to make the target state fidelity as high as possible. This scheme is insensitive to detection inefficiencies since it only delays the time at which stationarity is achieved. Nevertheless, the spontaneous emission plays a negative role in the current system.
A robust and scalable scheme to generate a steady three-dimensional entangled state for a V-type atom and a Λ-type atom trapped in a strongly dissipative bimodal cavity is proposed by direct feedback control based on quantum-jump detection. The robustness of this scheme reflects in the insensitivity to detection inefficiencies and the strong ability against the parameter fluctuations in the feedback, driving, and coupling strengths. The influence of atomic spontaneous emission can be suppressed by using the local feedback control. The scalability is ensured that N -dimensional entangled states of two atoms can be deterministically generated.
We propose an experimentally feasible scheme for dissipative preparation of a tripartite entangled state with atoms separately trapped in an array of three coupled cavities. The combination of coherent driving fields and quantum-jump-based feedback control will drive the system into a nonequilibrium steady state, which has a nearly perfect overlap with the genuine three-atom singlet state. Different control strategies are investigated and the corresponding optimal parameters are confirmed. Moreover, the fidelity of the target state is insensitive to detection inefficiencies, and it exceeds 90% for a wide range of decoherence parameters as long as the single-atom cooperativity parameter $C\ensuremath{\equiv}{g}^{2}/(\ensuremath{\gamma}\ensuremath{\kappa})>350$.