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Journal of the Optical Society of America B

Bright quadripartite continuous variable entanglement from coupled intracavity nonlinearities

Juan Guo, Zehui Zhai, Jiangrui Gao

Published Feb 19, 2010• 12 citations
Publisher

Abstract

The continuous variable quadripartite entanglement properties of the output fields by the coupled intracavity parametric downconversions processes are analyzed theoretically. In the above-threshold region, it shows that the four output lights are multicolored entangled beams in separable locations with four-mode amplitude quadratures correlation and relative phase quadratures correlation.

DOI
10.1364/josab.27.000518

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The continuous variable quadripartite entanglement properties of the output fields by the coupled intracavity parametric downconversions processes are analyzed theoretically. In the above-threshold region, it shows that the four output lights are multicolored entangled beams in separable locations with four-mode amplitude quadratures correlation and relative phase quadratures correlation.
We present a feasible protocol of continuous variable quadripartite entanglement from the coupled type I second harmonic generation (SHG) below threshold. According to the sufficient inseparability criteria for multipartite continuous variable (CV) entanglement, the four output fields are proved to be multicolored entangled beams in separable locations with four‐mode amplitude quadratures correlation and relative phase quadratures correlation. It shows that the coupled system can produce a compact tunable multimode entangled source that can be applied into the quantum communication. image
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.
Abstract We propose an experimentally feasible scheme to produce bright six-partite continuous-variable (CV) entanglement by coupled intracavity non-degenerate parametric down-conversion operating above-threshold. The six-partite entanglement properties of the output fields are theoretically analyzed according to the sufficient inseparability criterion for multipartite CV entanglement. Such compact tunable multipartite CV entanglement, generated from a coupled system, could be used in quantum communications and networks.
We theoretically show that continuous-variable genuine quadripartite entanglement can be generated by intracavity cascaded nonlinear optical interactions. The process consists of a parametric down-conversion, a sum-frequency generation of pump and signal and a sum-frequency generation of pump and idler. The characteristics of the quadripartite entanglement among the signal, the idler, and two sum-frequency modes are analyzed by applying a sufficient inseparability criterion for multipartite continuous-variable entanglement proposed by Van Loock and Furusawa. The threshold properties of the system are also discussed.
We investigate an experimentally feasible intracavity coupled down-conversion scheme to generate quadripartite entanglement using concurrent nonlinearities. We verify that quadripartite entanglement is present in this system by calculating the output fluctuation spectra and then considering violations of optimized inequalities of the van Loock--Furusawa type. The entanglement characteristics both above and below the oscillation threshold are considered. We also present analytic solutions for the quadrature operators and the van Loock--Furusawa correlations in the undepleted pump approximation.
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.