Generation of tripartite Einstein-Podolsky-Rosen steering by cascaded nonlinear process

doi:10.1088/1674-1056/ab7da6

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.

Keywords: quantum steering harmonic generation quasi-phase-matching optical superlattice

Received: 28 January 2020
Revised: 21 February 2020
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)
	42.50.Dv	(Quantum state engineering and measurements)
	42.65.Ky	(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
[28]	Händchen V, Eberle T, Steinlechner S, et al. 2012 Nat. Photon. 6 596
[29]	Wollmann S, Walk N, Bennet A J, Wiseman H M and Pryde G J 2016 Phys. Rev. Lett. 116 160403
[30]	Olsen M K 2017 Phys. Rev. Lett. 119 160501
[31]	Olsen M K 2017 Phys. Rev. A 96 063839
[32]	Olsen M K 2018 Phys. Rev. A 97 033820
[33]	Qin Z Z, Deng X W, Tian C X, et al. 2017 Phys. Rev. A 95 052114
[34]	Zhong W X, Cheng G L and Hu X M 2017 Opt. Express 25 11584
[35]	Wang L, Lv S C and Jing J T 2017 Opt. Express 25 17457
[36]	Liu Y, Cai Y, Xiang Y, Li F, Zhang Y P and He Q Y 2019 Opt. Express 27 33070
[37]	Li J and Zhu S Y 2017 Phys. Rev. A 96 062115
[38]	Liu Y, Liang S L, Jin G R and Yu Y B 2020 Opt. Express 28 2722
[39]	He Q Y, Rosales-Zrate, Adesso L G and Reid M D 2015 Phys. Rev. Lett. 115 180502
[40]	Xiang Y, Kogias I, Adesso G and He Q Y 2017 Phys. Rev. A 95 010101
[41]	Chiu C Y, et al. 2016 njp Quantum Inf. 2 16020
[42]	Walk N, Hosseini S, Geng J, et al. 2016 Optica 3 634
[43]	Yu Y B and Wang H J 2011 J. Opt. Soc. Am. B 28 1899
[44]	Yu Y B, Wang H J, Zhao J W, Ji F M and Wang Y J 2016 Laser Phys. Lett. 13 085203
[45]	Gardiner C W 1991 Quantum Noise (New York: Springer) p. 203
[46]	Zhu S N, Zhu Y Y and Ming N B 1997 Science 278 843
[47]	Ferraro A, Paris M G A, Bondani M, Allevi A, Puddu E and Andreoni A 2004 J. Opt. Soc. Am. B 21 1241
[48]	Yu Y B, Wang H J, Xiao M and Zhu S N 2011 Opt. Express 19 13949
[49]	Collett M J and Gardiner C W 1984 Phys. Rev. A 30 1386
[50]	Saunders D J, Jones S J, Wiseman H M and Pryde G J 2010 Nat. Phys. 6 845
[51]	Li C B, Jiang Z H, Zhang Y Q, Zhang Z Y, Wen F, Chen X X, Zhang Y P and Xiao M 2017 Phys. Rev. Appl. 7 014023
[52]	Zhang D, Li C B, Zhang Z Y, Zhang Y Q, Zhang Y P and Xiao M 2017 Phys. Rev. A 96 043847
[53]	Zhu S N, Zhu Y Y, Qin Y Q, Wang H F, Ge C Z and Ming N B 1997 Phys. Rev. Lett. 78 2752
[54]	Qin Y Q, et al. 1998 Appl. Phys. Lett. 84 6911

[1]	Phase-coherence dynamics of frequency-comb emission via high-order harmonic generation in few-cycle pulse trains Chang-Tong Liang(梁畅通), Jing-Jing Zhang(张晶晶), and Peng-Cheng Li(李鹏程). Chin. Phys. B, 2023, 32(3): 033201.
[2]	Spectral shift of solid high-order harmonics from different channels in a combined laser field Dong-Dong Cao(曹冬冬), Xue-Fei Pan(潘雪飞), Jun Zhang(张军), and Xue-Shen Liu(刘学深). Chin. Phys. B, 2023, 32(3): 034204.
[3]	Effect of laser focus in two-color synthesized waveform on generation of soft x-ray high harmonics Yanbo Chen(陈炎波), Baochang Li(李保昌), Xuhong Li(李胥红), Xiangyu Tang(唐翔宇), Chi Zhang(张弛), and Cheng Jin(金成). Chin. Phys. B, 2023, 32(1): 014203.
[4]	High-order harmonic generation of the cyclo[18]carbon molecule irradiated by circularly polarized laser pulse Shu-Shan Zhou(周书山), Yu-Jun Yang(杨玉军), Yang Yang(杨扬), Ming-Yue Suo(索明月), Dong-Yuan Li(李东垣), Yue Qiao(乔月), Hai-Ying Yuan(袁海颖), Wen-Di Lan(蓝文迪), and Mu-Hong Hu(胡木宏). Chin. Phys. B, 2023, 32(1): 013201.
[5]	Probing subcycle spectral structures and dynamics of high-order harmonic generation in crystals Long Lin(林龙), Tong-Gang Jia(贾铜钢), Zhi-Bin Wang(王志斌), and Peng-Cheng Li(李鹏程). Chin. Phys. B, 2022, 31(9): 093202.
[6]	Optical second-harmonic generation of Janus MoSSe monolayer Ce Bian(边策), Jianwei Shi(史建伟), Xinfeng Liu(刘新风), Yang Yang(杨洋), Haitao Yang(杨海涛), and Hongjun Gao(高鸿钧). Chin. Phys. B, 2022, 31(9): 097304.
[7]	Second harmonic generation from precise diamond blade diced ridge waveguides Hui Xu(徐慧), Ziqi Li(李子琦), Chi Pang(逄驰), Rang Li(李让), Genglin Li(李庚霖), Sh. Akhmadaliev, Shengqiang Zhou(周生强), Qingming Lu(路庆明), Yuechen Jia(贾曰辰), and Feng Chen(陈峰). Chin. Phys. B, 2022, 31(9): 094209.
[8]	Photon-interactions with perovskite oxides Hongbao Yao(姚洪宝), Er-Jia Guo(郭尔佳), Chen Ge(葛琛), Can Wang(王灿), Guozhen Yang(杨国桢), and Kuijuan Jin(金奎娟). Chin. Phys. B, 2022, 31(8): 088106.
[9]	Tunable spectral shift of high-order harmonic generation in atoms using a sinusoidally phase-modulated pulse Yue Qiao(乔月), Jun Wang(王俊), Yan Yan(闫妍), Simeng Song(宋思蒙), Zhou Chen(陈洲), Aihua Liu(刘爱华), Jigen Chen(陈基根), Fuming Guo(郭福明), and Yujun Yang(杨玉军). Chin. Phys. B, 2022, 31(6): 064214.
[10]	Decoding the electron dynamics in high-order harmonic generation from asymmetric molecular ions in elliptically polarized laser fields Cai-Ping Zhang(张彩萍) and Xiang-Yang Miao(苗向阳). Chin. Phys. B, 2022, 31(4): 043301.
[11]	Enhancement of isolated attosecond pulse generation by using long gas medium Yueying Liang(梁玥瑛), Xinkui He(贺新奎), Kun Zhao(赵昆), Hao Teng(滕浩), and Zhiyi Wei(魏志义). Chin. Phys. B, 2022, 31(4): 043302.
[12]	Orientation and ellipticity dependence of high-order harmonic generation in nanowires Fan Yang(杨帆), Yinghui Zheng(郑颖辉), Luyao Zhang(张路遥), Xiaochun Ge(葛晓春), and Zhinan Zeng(曾志男). Chin. Phys. B, 2022, 31(4): 044204.
[13]	Generation of elliptical isolated attosecond pulse from oriented H₂⁺ in a linearly polarized laser field Yun-He Xing(邢云鹤), Jun Zhang(张军), Xiao-Xin Huo(霍晓鑫), Qing-Yun Xu(徐清芸), and Xue-Shen Liu(刘学深). Chin. Phys. B, 2022, 31(4): 043203.
[14]	High-order harmonic generations in tilted Weyl semimetals Zi-Yuan Li(李子元), Qi Li(李骐), and Zhou Li(李舟). Chin. Phys. B, 2022, 31(12): 124204.
[15]	Quantum steerability of two qubits mediated by one-dimensional plasmonic waveguides Ye-Qi Zhang(张业奇), Xiao-Ting Ding(丁潇婷), Jiao Sun(孙娇), and Tian-Hu Wang(王天虎). Chin. Phys. B, 2022, 31(12): 120305.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Generation of tripartite Einstein-Podolsky-Rosen steering by cascaded nonlinear process

Cite this article:

Online attention