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arXiv:1803.02004 · Optics Express

Enhancement of steady-state bosonic squeezing and entanglement in a dissipative optomechanical system

Chang-Geng Liao, Hong Xie, Xiao Shang, Zhi-Hua Chen, Xiu-Min Lin

Published May 14, 2018• 21 citations
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Abstract

We systematically study the influence of amplitude modulation on the steady-state bosonic squeezing and entanglement in a dissipative three-mode optomechanical system, where a vibrational mode of the membrane is coupled to the left and right cavity modes via the radiation pressure. Numerical simulation results show that the steady-state bosonic squeezing and entanglement can be significantly enhanced by periodically modulated external laser driving either or both ends of the cavity. Remarkably, the fact that as long as one periodically modulated external laser driving either end of the cavities is sufficient to enhance the squeezing and entanglement is convenient for actual experiment, whose cost is that required modulation period number for achieving system stability is more. In addition, we numerically confirm the analytical prediction for optimal modulation frequency and discuss the corresponding physical mechanism.

DOI
10.1364/oe.26.013783

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We systematically study the influence of amplitude modulation on the steady-state bosonic squeezing and entanglement in a dissipative three-mode optomechanical system, where a vibrational mode of the membrane is coupled to the left and right cavity modes via the radiation pressure. Numerical simulation results show that the steady-state bosonic squeezing and entanglement can be significantly enhanced by periodically modulated external laser driving either or both ends of the cavity. Remarkably, the fact that as long as one periodically modulated external laser driving either end of the cavities is sufficient to enhance the squeezing and entanglement is convenient for actual experiment, whose cost is that required modulation period number for achieving system stability is more. In addition, we numerically confirm the analytical prediction for optimal modulation frequency and discuss the corresponding physical mechanism.
We consider a dissipative cavity optomechanical system which couples to an auxiliary cavity with a high-quality factor and is driven by an amplitude-modulated laser field. Due to the introduction of the auxiliary cavity, we find that the steady-state mechanical squeezing can be enhanced compared to the case without an auxiliary cavity and the so-called 3 dB limit can also be broken in the resolved-sideband regime. Moreover, the squeezing can also be achieved even in the unresolved-sideband regime. We study the optomechanical entanglement in the presented system. It is found that the enhanced entanglement can be obtained by introducing the auxiliary cavity, and the entanglement can also be generated in the unresolved-sideband regime for appropriate system parameters. Numerical results show that the presented schemes have strong robustness against the thermal noise acting on the mechanical mode.
We propose schemes for generating quantum squeezing and enhancing entanglement in an opto-magnomechanical configuration by periodically modulating the driving field. The system consists of an optical cavity and a ferrimagnetic yttrium-iron-garnet micro-bridge supporting a magnon mode and a mechanical vibration mode, in which the mechanical mode couples to the optical mode and the magnon mode via radiation pressure and magnetostrictive interaction, respectively. The optical mode and the magnon mode are driven by classical fields, and the amplitude of the laser field driving the optical cavity is periodically modulated. We find that when the classical fields are red-detuned and their anti-Stokes sidebands scattered by the mechanical motion resonate with the corresponding driven modes, all the modes in the system will be squeezed simultaneously, and the mechanical squeezing can exceed the 3-dB limit. Furthermore, when the driving laser field is red-detuned and the microwave field is blue-detuned, both the bipartite and tripartite entanglements will be generated, and compared to the case without periodical modulation, the entanglements are significantly enhanced. We also show that the schemes have strong robustness against the system dissipations and environmental temperature. Our schemes may provide efficient quantum resources for quantum precision measurement and quantum information processing.
We consider a coupled cavity optomechanical setup driven by a periodically modulated pump. We investigate the asymptotic behaviors of Heisenberg operator mean values and mechanical entanglement. It is shown that the system will acquire the same period of the modulation in the long time limit and, compared to the no modulation case, the mechanical entanglement can be significantly enhanced by periodic driving with more conservative system parameters and a higher permitted bath temperature. The mechanism of entanglement generation is discussed and an approximate optimal modulation frequency for small effective coupling is derived.
The dissipative squeezing mechanism is an effective method to generate the strong squeezing, which is important in the precision metrology. Here, we propose a practical method to achieve arbitrary bosonic squeezing via introducing frequency modulation into the coupled harmonic resonator model. We analyze the effect of frequency modulation and give the analytical and numerical squeezing results, respectively. To measure the accurate dynamic squeezing in our proposal, we give a more general defination of the relative squeezing degree. Finally, the proposed method is extended to generate the strong mechanical squeezing (>3 dB) in a practical optomechanical system consisting of a graphene mechanical oscillator coupled to a superconducting microwave cavity. The result indicates that the strong mechanical squeezing can be effectively achieved even when the mechanical oscillator is not initially in its ground state. The proposed method expands the study on nonclassical state and does not need the bichromatic microwave driving technology.
We show how strong steady-state entanglement can be achieved in a three-mode optomechanical system (or other parametrically coupled bosonic system) by effectively laser cooling a delocalized Bogoliubov mode. This approach allows one to surpass the bound on the maximum stationary intracavity entanglement possible with a coherent two-mode squeezing interaction. In particular, we find that optimizing the relative ratio of optomechanical couplings, rather than simply increasing their magnitudes, is essential for achieving strong entanglement. Unlike typical dissipative entanglement schemes, our results cannot be described by treating the effects of the entangling reservoir via a Linblad master equation.
We propose an approach for generating steady-state mechanical entanglement in a coupled optomechanical system. By applying four-tone driving lasers with weighted amplitudes and specific frequencies, we obtain an effective Hamiltonian that couples the delocalized Bogoliubov modes of the two mechanical oscillators to the cavity modes via beam-splitter-like interactions. When the mechanical decay rate is small, the Bogoliubov modes can be effectively cooled by the dissipative dynamics of the cavity modes, generating steady-state entanglement of the mechanical modes. The mechanical entanglement obtained in the stationary regime is strongly dependent on the values of the ratio of the effective optomechanical coupling strengths. Numerical simulation with the full linearized Hamiltonian shows that significant amount of mechanical entanglement can indeed be obtained by balancing the opposing effects of varying the ratio and by carefully avoiding the system parameters that may lead to amplified oscillations of the mechanical mean values detrimental to the entanglement generation.