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Journal of Physics B Atomic Molecular and Optical Physics

Enhancement on quantum synchronization of directly coupled optomechanical oscillators via periodic modulations

Chu-Hui Fan, Lei Du, Han-Xiao Zhang, Jin‐Hui Wu

Published Jul 26, 2018• 7 citations
Publisher

Abstract

Abstract We study a double-cavity optomechanical system with two movable mirrors acting as mechanical oscillators coupled via a common girder. The fluctuation parts of mechanical oscillations induced by vacuum noises exhibit a limited quantum synchronization owing to the Heisenberg uncertainty. Exerting periodic modulations on the driving lasers or mechanical oscillators, we find that it is viable to attain a 50% ∼ 75% enhancement on this quantum synchronization with appropriate modulation frequencies and amplitudes. A direct comparison shows that the optimal modulations on driving lasers are more favorable than the optimal modulations on mechanical oscillators in that the former could result in a greater enhancement than the latter. Our findings should be instructive for further studies on multi-cavity optomechanical systems to pursue a promising platform for quantum information processing.

DOI
10.1088/1361-6455/aad622

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Abstract We study a double-cavity optomechanical system with two movable mirrors acting as mechanical oscillators coupled via a common girder. The fluctuation parts of mechanical oscillations induced by vacuum noises exhibit a limited quantum synchronization owing to the Heisenberg uncertainty. Exerting periodic modulations on the driving lasers or mechanical oscillators, we find that it is viable to attain a 50% ∼ 75% enhancement on this quantum synchronization with appropriate modulation frequencies and amplitudes. A direct comparison shows that the optimal modulations on driving lasers are more favorable than the optimal modulations on mechanical oscillators in that the former could result in a greater enhancement than the latter. Our findings should be instructive for further studies on multi-cavity optomechanical systems to pursue a promising platform for quantum information processing.
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Abstract Quantum synchronization and synchronization transmission among three mechanical oscillators are investigated in a coupled multimode optomechanical system. The system consists of three subsystems, each comprising an optical cavity and a mechanical oscillator. The tripartite synchronization among the oscillators can be visualized through the joint limit-cycle trajectories and Wigner functions. Quantum synchronization and anti-synchronization of two oscillators can be achieved simultaneously in the coupled multimode optomechanical system. For three coupled optomechanical systems, some parameter ranges for achieving synchronization are presented. Moreover, the synchronization transmission among mechanical oscillators is also investigated by manipulating the driving laser. In addition, the circular optomechanical configuration is also identified as an effective platform for studying quantum synchronization. The differences between the two optomechanical system configurations are analyzed and compared. These results provide a promising platform for studying quantum correlations and quantum information processing with mechanical oscillators based on controllable multimode optomechanical systems.
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Abstract In this work, we investigate the quantum synchronization and ϕ synchronization of two mechanical oscillators of different frequencies in two optomechanical systems with asymmetric coupling interaction. The whole system can be modulated by cavity detuning or driving amplitudes. Under certain parameters, quantum ϕ synchronization can be enhanced by asymmetric coupling in optomechanical systems, and the phase difference ϕ has an inversion. Moreover, we show that with the introduction of Kerr nonlinear medium, nonlinearity is dominated in achieving synchronization within asymmetric coupled cavities and ϕ can be corrected. Apart from achieving quantum synchronization, quantum anti-synchronization can be observed depending on the asymmetric coupling and the asymmetric external driving field. Our findings could offer insights into other quantum effects and pave the way for studying quantum correlations in asymmetric coupled optomechanical systems.
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Quantum synchronization and its connection with other quantum correlations have attracted considerable attention. Here we present a theoretical scheme to simultaneously represent and significantly enhance the level of quantum synchronization and entanglement between two indirectly coupled mechanical membranes, which are coupled to a common optical field within a cavity. By applying a two-tone driving laser with weighted amplitudes and specific frequencies, both synchronization gauged by Mari's criterion and entanglement estimated by logarithmic negativity can be greatly enhanced. We then clarify the relationship between quantum synchronization and entanglement in detail. Numerical simulation results show that the influence of the coupling asymmetry G2/G1{G}_{2}/{G}_{1}G2​/G1​ on quantum complete synchronization behaves similarly to that on the purity while the influence of the coupling asymmetry G2/G1{G}_{2}/{G}_{1}G2​/G1​ on quantum phase synchronization is more similar to that on quantum entanglement. Besides, we demonstrate that although quantum synchronization and quantum entanglement are not directly related, both of them are sensitive to the squeezing parameter and the cooling effect. Furthermore, it is also shown that detuning the frequencies of two mechanical oscillators can actually help quantum synchronization and entanglement, which is somewhat similar to the case of quantum synchronization blockade.