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Laser Physics Letters

Five-partite continuous-variable entanglement generated by cascaded nonlinear processes in only one optical superlattice

Youbin Yu, Renhao Chu, Xingbo Fan, Dongming Zhu, Zhongtao Shi, J. S. Zhao, Yajuan Wang, Huaijun Wang, Fengmin Ji, Lei Xie, Xianbin Wu

Published Oct 23, 2018• 1 citation
Publisher

Abstract

Abstract We theoretically investigate the generation of five-partite continuous-variable (CV) entanglement through injection-seeded non-degenerate optical parametric amplification cascaded two sum-frequency processes in only one optical superlattice without optical cavities. The idle can be generated by optical parametric amplification of pump and signal. Then, one beam will be generated by the cascaded sum-frequency process of pump and idle, and another beam will be produced by the cascaded sum-frequency process of pump and signal in the same optical superlattice. The phase-mismatching in the cascaded nonlinear processes can be compensated by three reciprocals of the optical superlattice by a quasi-phase-matching technique. The conversion dynamics among the cascaded nonlinear processes is analyzed by using a quantum stochastic method. The five-partite entanglement among pump, signal, idle, and two sum-frequency beams are discussed by applying a sufficient inseparability criteria for the five-partite CV entanglement proposed by Van Loock and Furusawa. This scheme of five-partite entanglement generation with different frequencies has potential applications in quantum communication and computation networks.

DOI
10.1088/1612-202x/aae5ad

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Abstract Quadripartite continuous-variable (CV) entanglement with different optical frequencies can be generated by nondegenerate optical parametric amplification cascaded with a sum-frequency process in only one optical superlattice. Firstly, the idler beam is generated by a different frequency process between pump and signal beams. Then, the sum-frequency beam will be generated by a cascaded sum-frequency process between pump and idler beams in the same optical superlattice. The conversion dynamics of the cascaded nonlinear processes is investigated by using a quantum stochastic method. The quantum correlations among pump, signal, idler and sum-frequency beams are calculated by applying a sufficient inseparability criteria for quadripartite CV entanglement. The results show that quadripartite CV entangled beams can be produced by this single-pass cascaded nonlinear process in one optical superlattice.
The three-color continuous-variable entanglement directly produced by a cascaded nonlinear process in an optical superlattice was investigated theoretically. This cascaded nonlinear process can be realized by using quasi-phase-matching technique in a quasiperiodic superlattice. In the first step, signal- and idle-beams can be generated by a parametric down-conversion. Then, the third beam can be obtained through sum-frequency of idle and pump. The degree of quadrature phase amplitude correlations between the three modes was discussed by a sufficient inseparability criterion with a single inequality for continuous-variable entanglement.
Multipartite quantum steering is an important quantum resource and the basis of quantum computing and quantum secure communication. In this paper, a scheme is proposed to produce genuine five-partite quantum steering by an injected signal optical parametric oscillation cascaded with two sum-frequency processes. First, an idler beam is generated by a difference-frequency generation process between the pump and the injected signal in an optical superlattice. By using the quasi-phase-matching technique, two sum-frequency beams are generated by the sum-frequency processes of pump and idler beams as well as pump and injected signals in the same optical superlattice. It is found that the genuine five-partite steering exists by applying a criterion for genuine multipartite quantum steering. Finally, the variation properties of the quantum steering with parameters are discussed. The genuine five-partite quantum steering generated by the present scheme has potential applications in quantum computing and quantum secure communication.
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.
It is theoretically shown that tripartite entanglement with different wavelengths can be generated by cascaded nonlinear interaction in an optical parametric oscillator cavity with parametric down conversion and sum-frequency generation. A sufficient inseparability criterion for continuous-variable tripartite entanglement proposed by van Loock and Furusawa was used to evaluate the degree of the quadrature-phase amplitude correlations between the three modes. The dependences of correlation on the cavity parameters and pump intensity are discussed.
Abstract Three-color continuous-variable (CV) entangled beams can be produced by single-pass cascaded sum-frequency processes of third-harmonic generation by quasi-phase-matching technique in only one optical superlattice. Firstly, second-harmonic field is generated by the first double-frequency process of the fundamental field. Then, the third-harmonic field can be generated by the second cascaded sum-frequency process between the second-harmonic and the fundamental fields by quasi-phase-matching technique in the same optical superlattice. By using the quantum stochastic method, we investigated the conversion dynamics of the cascaded sum-frequency processes and the quantum correlation nature among the fundamental, second-harmonic, and third-harmonic fields. The results show that the higher conversion efficiency of third-harmonic generation can be achieved with the larger nonlinear coupling parameter of the second cascaded sum-frequency process. We also show that the fundamental, second-, and third-harmonic beams are CV entangled with each other according to the necessary and sufficient CV entanglement criterion. This scheme of three-color entanglement generation without involving optical cavity is easy to realize in experiment. Moreover, the three-color entangled beams are separated by an octave in frequency which has potential applications in quantum communication and computation networks.