1 Key Laboratory of Optical Field Manipulation of Zhejiang Province, Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; 2 Shanghai Institute of Space Power Sources, Shanghai Academy of Spaceflight Technology, Shanghai 200245, China; 3 School of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China
Abstract A scheme is proposed to generate genuine tripartite Einstein-Podolsky-Rosen (EPR) steering in cascaded nonlinear process of the fourth-harmonic generation. The second-harmonic is generated by the first double-frequency process in an optical superlattice. Then, the fourth-harmonic is produced by the second cascaded double-frequency process through quasi-phase-matching technique in the same optical superlattice. The genuine tripartite EPR steering among the pump, the second-harmonic, and the fourth-harmonic beams can be obtained by this cascaded nonlinear process according to a criterion for genuine multipartite quantum steering. The quantum steering properties are discussed by adjusting the parameters related to the cascaded nonlinear system. The present research provides a reference scheme and data for obtaining good multipartite EPR steering in experiment and can advance the applications of quantum steering in the quantum information processing.
(Frequency conversion; harmonic generation, including higher-order harmonic generation)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61975184, 91636108, and 61775043), the Natural Science Foundation of Zhejiang Province, China (Grant No. LY18A040007), the Science Foundation of Zhejiang Sci-Tech University (Grant Nos. 19062151-Y and 18062145-Y), and the Open Foundation of the Key Laboratory of Optical Field Manipulation of Zhejiang Province, China (Grant No. ZJOFM-2019-002).
Corresponding Authors:
You-Bin Yu, Xiao-Bin He
E-mail: ybyu@163.com;33349445@qq.com
Cite this article:
Yu Liu(刘瑜), Su-Ling Liang(梁素玲), Guang-Ri Jin(金光日), You-Bin Yu(俞友宾), Jian-Yu Lan(蓝建宇), Xiao-Bin He(何小斌), Kang-Xian Guo(郭康贤) Generation of tripartite Einstein-Podolsky-Rosen steering by cascaded nonlinear process 2020 Chin. Phys. B 29 050301
[1]
Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[2]
Schrödinger E 1936 Math. Proc. Cambridge Philos. Soc. 32 446
[3]
Schrödinger E 1935 Math. Proc. Cambridge Philos. Soc. 31 555
[4]
H Z Li, R S Han, Y Q Zhang and L Chen 2018 Chin. Phys. B 27 120304
[5]
Y H Liu, L Wu, Z H Yan, X J Jia and K C Peng 2019 Acta Phys. Sin. 68 034202 (in Chinese)
[6]
Y Y Ma, J X Feng, Z J Wan, Y H Gao and K S Zhang 2017 Acta Phys. Sin. 66 244205 (in Chinese)
[7]
Zhao C Y and Zhang C M 2018 Chin. Phys. B 27 084204
[8]
Yu Y B, Wang H J, Feng J X 2011 Chin. Phys. Lett. 28 090304
[9]
Bell J S 2012 Phys. Rev. X 2 031003
[10]
Liao C G, Chen Z H, Luo C L 2010 Acta Phys. Sin. 59 8526 (in Chinese)
[11]
Wiseman H M, Jones S J and Doherty A C 2007 Phys. Rev. Lett. 98 140402
[12]
Jones S J, Wiseman H M and Doherty A C 2007 Phys. Rev. A 76 052116
[13]
Bennet A J, Evans D A, Saunders D J, Branciard C, Cavalcanti E G, Wiseman H M and Pryde G J 2012 Phys. Rev. X 2 031003
[14]
Cavalcanti E G, Jones S J, Wiseman H M and Reid M D 2009 Phys. Rev. A 80 032112
[15]
Reid M D 1989 Phys. Rev. A 40 913
[16]
Evans D A, Cavalcanti E G and Wiseman H M 2013 Phys. Rev. A 88 022106
[17]
Evans D A and Wiseman H M 2014 Phys. Rev. A 90 012114
[18]
Skrzypczyk P and Cavalcanti D 2015 Phys. Rev. A 92 022354
[19]
Zhen Y Z, Zheng Y L, Cao W F, Li L, Chen Z B, Liu N L and Chen K 2016 Phys. Rev. A 93 012108
[20]
Ou Z Y, Pereira S F, Kimble H J and Peng K C 1992 Phys. Rev. Lett. 68 3663
[21]
Smith D H, Gillett G, de Almeida M P, et al. 2012 Nat. Commun. 3 625
[22]
Wittmann B, Ramelow S, Steinlechner F, et al. 2012 New J. Phys. 14 053030
[23]
Saunders D J, Jones S J, Wiseman H M and Pryde G J 2010 Nat. Phys. 6 845
[24]
He Q Y and Reid M D 2013 Phys. Rev. Lett. 111 250403
[25]
Armstrong S, Wang M, Teh R Y, et al. 2015 Nat. Phys. 11 167
[26]
Bowles J, Vétesi T, Quintino M T and Brunner N 2014 Phys. Rev. Lett. 112 200402
[27]
Quintino M T, Vértesi T, Cavalcanti D, et al. 2015 Phys. Rev. A 92 032107
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