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Laser Physics

Generation of quadripartite continuous-variable entanglement in two coupled opto-mechanical systems

E Wu, Jia Liu, Luomeng Chao, Qiao Jun, Jinyan Niu, Jianli He, Yong Zhang, Yonghong Ma

Published May 26, 2020• 6 citations
Publisher

Abstract

Abstract Macroscopic multiple continuous-variable (CV) entanglement plays a central role in recent CV-based approaches to quantum multipartite network, quantum communication and quantum secret sharing. We propose a novel scheme to generate stationary quadripartite CV entanglement at the macroscopic level in two coupling Fabry–Perot cavities with a flux qutrit. We treat two cavity fields and two movable mirrors as intrinsically quadripartite and study quadripartite CV entanglement among them. We demonstrate that genuine quadripartite CV entanglement can be generated in this system.

DOI
10.1088/1555-6611/ab8933

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Abstract Macroscopic multiple continuous-variable (CV) entanglement plays a central role in recent CV-based approaches to quantum multipartite network, quantum communication and quantum secret sharing. We propose a novel scheme to generate stationary quadripartite CV entanglement at the macroscopic level in two coupling Fabry–Perot cavities with a flux qutrit. We treat two cavity fields and two movable mirrors as intrinsically quadripartite and study quadripartite CV entanglement among them. We demonstrate that genuine quadripartite CV entanglement can be generated in this system.
We investigate the generation of multicolor quadripartite entangled beams of light with continuous variables via optomechanical coupling in an optical cavity. It is found that the genuine quadripartite entanglement can be achieved among the Stokes and anti-Stokes sidebands of two driven cavity fields. This entanglement still exists for the environment temperature up to about 50K50\phantom{\rule{4pt}{0ex}}\text{K}50K. We also show that the obtained genuine quadripartite entanglement actually results from concurrent four-wave-mixing processes in the system, which can, in principle, be generalized to obtain a genuine 2N2N2N-partite entangled state of light from a generic NNN-mode cavity optomechanical system.
An experimentally feasible intracavity coupler scheme is proposed to generate bright quadripartite continuous-variable (CV) entanglement by the coupled second-harmonic generation processes. By solving the steady-state equations and calculating the correlation spectra of the four output beams, we show that the four output beams are all entangled with each other according to the sufficient inseparability criterion for multipartite CV entanglement. By utilizing the upconversion process, the generated four entanglement fields have macroscopic intensities as soon as the input fields are turned on.
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We theoretically investigate the entanglement properties in a hybrid system consisting of an optical cavity–array coupled to a mechanical resonator. We show that the steady state of the system presents bipartite continuous variable entanglement in an experimentally accessible parameter regime. The effects of the cavity–cavity coupling strength on the bipartite entanglements in the field–mirror subsystem and in the field–field subsystem are studied. We further find that the entanglement between the adjacent cavity and the movable mirror can be entirely transferred to the distant cavity and mirror by properly choosing the cavity detunings and the coupling strength in the two-cavity case. Surprisingly, such a remote macroscopic entanglement tends to be stable in the large coupling regime and persists for environment temperatures at above 25 K in the three-cavity case. Such optomechanical systems can be used for the realization of continuous variable quantum information interfaces and networks.
We show how to generate stationary continuous-variable pairwise entanglement between microwave modes in a hybrid optoelectromechanical system, which consists of a single Fabry–Pérot cavity, a parallel-plate capacitor with a moving element as the mechanical resonator, and several pairs of microwave cavities. The optical mode and mechanical resonator are coupled via radiation pressure; meanwhile, several pairs of the microwave mode and mechanical resonator are capacitively coupled. Under an experimentally reachable parameter regime, we show the influence of different key parameters on pairwise entanglement and find that it is also robust against temperature. Our model and results are expected to provide a new perspective on quantum networks with increasingly large scales, quantum internet with multiple local users, and multiport microwave quantum illumination radar.