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Acta Optica Sinica

Entanglement Enhancement of Bipartite Entangled States Through Coherent Feedback Control

李芳 Li Fang, 周瑶瑶 Zhou Yaoyao, 贾晓军 Jia Xiaojun

Published Jan 1, 2014• 0 citations
Publisher
DOI
10.3788/aos201434.1027001

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Based on the cascaded four wave mixing processes, a coherent-feedback control system is constructed by utilizing a linear beam splitter as the feedback controller. Considering the loss of optical propagation in the coherent feedback loop and the absorption effect of Rb vapor cells to beams, we theoretically investigate the entanglement properties of this system under different feedback ratio, gain and phase by calculating the covariance matrix of system and applying the positivity under partial transpose (PPT) criterion to all possible bipartitions. The result shows that the genuine tripartite entanglement exists in the coherent feedback control system, but the entanglement structure of system will be destroyed by the excessive feedback. In addition, when the phase is π, we find that the tripartite entanglement can be enhanced by changing the gains and the reflectivity of the beam splitter in the range of 0.1 to 0.4. The results pave the way for manipulating multipartite entanglement by coherent feedback control and have potential application in quantum communication.
Abstract This study is based on a theoretical proposal for the generation and enhancement of multipartite entanglements of indirectly coupled modes using the coherent feedback loop scheme. The coherent feedback‐control mechanism that is presented here significantly improves the bipartite and tripartite entanglements among the indirectly coupled modes. The numerical study shows that the entanglements can be sufficiently tuned by the effective couplings and the reflective parameter of the beam splitter. In addition, the robustness and survival of the generated entanglement in the proposed system have shown to be significantly dependent on the reflectivity parameter. The existence of a genuine tripartite entanglement state in the dynamical state of the system is proven. Finally, the effect of the reflective parameter on three different tripartite entanglements is observed. The findings pave the way for tuning and enhancing multipartite entanglements of indirectly coupled modes in current cavity Opto‐magnomechanical systems and may have various vital applications in quantum information.