Nonlinearly induced entanglement in dissipatively coupled optomechanical system

doi:10.1088/1674-1056/ad3dd6

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60313-060313.doi: 10.1088/1674-1056/ad3dd6

Nonlinearly induced entanglement in dissipatively coupled optomechanical system

Wen-Quan Yang(杨文全), Xuan Leng(冷轩), Jiong Cheng(程泂), and Wen-Zhao Zhang(张闻钊)†

Department of Physics, Ningbo University, Ningbo 315211, China

收稿日期:2024-03-09 修回日期:2024-04-08 接受日期:2024-04-12 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Wen-Zhao Zhang E-mail:zhangwenzhao@nbu.edu.cn
基金资助:
We thank Chen-Jie Zhang for the instructive discussions. Project supported by the National Natural Science Foundation of China (Grant No. 12074206) and the Natural Science Foundation of Zhejiang Province of China (Grant No. LY22A040005). Xuan Leng is supported by the National Natural Science Foundation of China (Grant No. 22103043).

Nonlinearly induced entanglement in dissipatively coupled optomechanical system

Wen-Quan Yang(杨文全), Xuan Leng(冷轩), Jiong Cheng(程泂), and Wen-Zhao Zhang(张闻钊)†

Department of Physics, Ningbo University, Ningbo 315211, China

Received:2024-03-09 Revised:2024-04-08 Accepted:2024-04-12 Online:2024-06-18 Published:2024-06-18
Contact: Wen-Zhao Zhang E-mail:zhangwenzhao@nbu.edu.cn
Supported by:
We thank Chen-Jie Zhang for the instructive discussions. Project supported by the National Natural Science Foundation of China (Grant No. 12074206) and the Natural Science Foundation of Zhejiang Province of China (Grant No. LY22A040005). Xuan Leng is supported by the National Natural Science Foundation of China (Grant No. 22103043).

摘要/Abstract

摘要： Nonlinearly induced steady-state photon-phonon entanglement of a dissipative coupled system is studied in the bistable regime. Quantum dynamical characteristics are analysed by solving the mean-field and fluctuation equations of the system. It is shown that dissipative coupling can induce bistable behaviour for the effective dissipation of the system. Under suitable parameters, one of the steady states significantly reduces the dissipative effect of the system. Consequently, a larger steady-state entanglement can be achieved compared to linear dynamics. Furthermore, the experimental feasibility of the parameters is analysed. Our results provide a new perspective for the implementation of steady-state optomechanical entanglement.

关键词: entanglement, optomechanical system, dissipatively coupling

Abstract: Nonlinearly induced steady-state photon-phonon entanglement of a dissipative coupled system is studied in the bistable regime. Quantum dynamical characteristics are analysed by solving the mean-field and fluctuation equations of the system. It is shown that dissipative coupling can induce bistable behaviour for the effective dissipation of the system. Under suitable parameters, one of the steady states significantly reduces the dissipative effect of the system. Consequently, a larger steady-state entanglement can be achieved compared to linear dynamics. Furthermore, the experimental feasibility of the parameters is analysed. Our results provide a new perspective for the implementation of steady-state optomechanical entanglement.

Key words: entanglement, optomechanical system, dissipatively coupling

中图分类号: (Entanglement production and manipulation)

03.67.Bg

42.50.-p (Quantum optics) 42.50.Wk (Mechanical effects of light on material media, microstructures and particles)

Wen-Quan Yang(杨文全), Xuan Leng(冷轩), Jiong Cheng(程泂), and Wen-Zhao Zhang(张闻钊). Nonlinearly induced entanglement in dissipatively coupled optomechanical system[J]. 中国物理B, 2024, 33(6): 60313-060313.

Wen-Quan Yang(杨文全), Xuan Leng(冷轩), Jiong Cheng(程泂), and Wen-Zhao Zhang(张闻钊). Nonlinearly induced entanglement in dissipatively coupled optomechanical system[J]. Chin. Phys. B, 2024, 33(6): 60313-060313.

参考文献

[1] Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[2] Pan J W, Chen Z B, Lu C Y, Weinfurter H, Zeilinger A and Zukowski · M 2012 Rev. Mod. Phys. 84 777
[3] Chitambar E and Gour G 2019 Rev. Mod. Phys. 91 025001
[4] Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P and Milburn G J 2007 Rev. Mod. Phys. 79 135
[5] Galindo A and Martín-Delgado M A 2002 Rev. Mod. Phys. 74 347
[6] Maier T, Jarrell M, Pruschke T and Hettler M H 2005 Rev. Mod. Phys. 77 1027
[7] Weedbrook C, Pirandola S, García-Patrón R, Cerf N J, Ralph T C, Shapiro J H and Lloyd S 2012 Rev. Mod. Phys. 84 621
[8] Clausen C, Usmani I, Bussiíres F, Sangouard N, Afzelius M, de Riedmatten H and Gisin N 2011 Nature 469 508
[9] Zhao J, Li W and Gu Y 2013 Europhys. Lett. 104 10005
[10] Wu S X, Bai C H, Li G, Yu C S and Zhang T 2024 Opt. Express 32 260
[11] Yin X L and Liao J Q 2023 Phys. Rev. A 108 023728
[12] Zhou L, Xiong H and Zubairy M S 2006 Phys. Rev. A 74 022321
[13] Yu M, Shen H and Li J 2020 Phys. Rev. Lett. 124 213604
[14] Li J, Zhu S Y and Agarwal G S 2018 Phys. Rev. Lett. 121 203601
[15] Chen Z X, Lin Q, He B and Lin Z Y 2017 Opt. Express 25 17237
[16] Sinha K, Lin S Y and Hu B L 2015 Phys. Rev. A 92 023852
[17] Zhou L, Han Y, Jing J and Zhang W 2011 Phys. Rev. A 83 052117
[18] Beckey J L, Ma Y, Boyer V and Miao H 2019 Phys. Rev. D 100 083011
[19] Wang Y D, Chesi S and Clerk A A 2015 Phys. Rev. A 91 013807
[20] Wang Y D and Clerk A A 2013 Phys. Rev. Lett. 110 253601
[21] You X and Li Y 2019 Phys. Rev. A 100 053842
[22] Xia Y, Agrawal A R, Pluchar C M, Brady A J, Liu Z, Zhuang Q, Wilson D J and Zhang Z 2023 Nat. Photonics 17 470
[23] Fiaschi N, Hensen B, Wallucks A, Benevides R, Li J, Alegre T P M and Gröblacher S 2021 Nat. Photonics 15 817
[24] Riedinger R, Wallucks A, Marinković I, Löschnauer C, Aspelmeyer M, Hong S and Gröblacher S 2018 Nature 556 473
[25] Elste F, Girvin S M and Clerk A A 2009 Phys. Rev. Lett. 102 207209
[26] Aspelmeyer M, Kippenberg T J and Marquardt F 2014 Rev. Mod. Phys. 86 1391
[27] Sawadsky A, Kaufer H, Nia R M, Tarabrin S P, Khalili F Y, Hammerer K and Schnabel R 2015 Phys. Rev. Lett. 114 043601
[28] Xuereb A, Schnabel R and Hammerer K 2011 Phys. Rev. Lett. 107 213604
[29] Li M, Pernice W H P and Tang H X 2009 Phys. Rev. Lett. 103 223901
[30] Meng J W, Tang S J, Sun J, Shen K, Li C, Gong Q and Xiao Y F 2022 Phys. Rev. Lett. 129 073901
[31] Wu M, Hryciw A C, Healey C, Lake D P, Jayakumar H, Freeman M R, Davis J P and Barclay P E 2014 Phys. Rev. X 4 021052
[32] Weiss T, Bruder C and Nunnenkamp A 2013 New J. Phys. 15 045017
[33] Huang S, Deng L and Chen A 2023 Phys. Rev. A 107 013524
[34] Biehs S A and Agarwal G S 2023 Phys. Rev. B 108 035423
[35] Liu Y, Liu Y, Hu C S, Jiang Y K, Wu H and Li Y 2023 Phys. Rev. A 108 023503
[36] Tagantsev A K, Sokolov I V and Polzik E S 2018 Phys. Rev. A 97 063820
[37] Qu K and Agarwal G S 2015 Phys. Rev. A 91 063815
[38] Safavi-Naeini A H, Alegre T P M, Chan J, Eichenfield M, Winger M, Lin Q, Hill J T, Chang D E and Painter O 2011 Nature 472 69
[39] Eichenfield M, Chan J, Camacho R M, Vahala K J and Painter O 2009 Nature 462 78
[40] Sete E A and Eleuch H 2012 Phys. Rev. A 85 043824
[41] Marquardt F, Harris J G E and Girvin S M 2006 Phys. Rev. Lett. 96 103901
[42] Ghobadi R, Bahrampour A R and Simon C 2011 Phys. Rev. A 84 033846
[43] Weis S, Riviíre R, Deléglise S, Gavartin E, Arcizet O, Schliesser A and Kippenberg T J 2010 Science 330 1520
[44] Agarwal G S and Huang S 2010 Phys. Rev. A 81 041803
[45] Wu Z, Luo R H, Zhang J Q, Wang Y H, Yang W and Feng M 2017 Phys. Rev. A 96 033832
[46] Ma P C, Zhang J Q, Xiao Y, Feng M and Zhang Z M 2014 Phys. Rev. A 90 043825
[47] Li W, Li C and Song H 2017 Phys. Rev. E 95 022204
[48] Cheng J, Li W and Li J 2023 Phys. Rev. Res. 5 043197
[49] Rabl P 2011 Phys. Rev. Lett. 107 063601
[50] Huang R, Miranowicz A, Liao J Q, Nori F and Jing H 2018 Phys. Rev. Lett. 121 153601
[51] Liao J Q and Nori F 2013 Phys. Rev. A 88 023853
[52] Zhang W Z, Cheng J, Liu J Y and Zhou L 2015 Phys. Rev. A 91 063836
[53] Wang G, Huang L, Lai Y C and Grebogi C 2014 Phys. Rev. Lett. 112 110406
[54] Vitali D, Gigan S, Ferreira A, Böhm H R, Tombesi P, Guerreiro A, Vedral V, Zeilinger A and Aspelmeyer M 2007 Phys. Rev. Lett. 98 030405
[55] Kotler S, Peterson G A, Shojaee E, Lecocq F, Cicak K, Kwiatkowski A, Geller S, Glancy S, Knill E, Simmonds R W, Aumentado J and Teufel J D 2021 Science 372 622
[56] Gao Y P and Wang C 2021 Opt. Express 29 25161
[57] Kilda D and Nunnenkamp A 2016 J. Opt. 18 014007
[58] Primo A G, Carvalho N C, Kersul C M, Frateschi N C, Wiederhecker G S and Alegre T P M 2020 Phys. Rev. Lett. 125 233601
[59] Boulier T, Bamba M, Amo A, Adrados C, Lemaitre A, Galopin E, Sagnes I, Bloch J, Ciuti C, Giacobino E and Bramati A 2014 Nat. Commun. 5 3260
[60] Zhang J, Mu Q X and Zhang W Z 2018 Chin. Phys. B 27 040304
[61] Adesso G, Serafini A and Illuminati F 2004 Phys. Rev. A 70 022318
[62] Plenio M B 2005 Phys. Rev. Lett. 95 090503
[63] Vitali D, Tombesi P, Woolley M J, Doherty A C and Milburn G J 2007 Phys. Rev. A 76 042336
[64] Mari A and Eisert J 2009 Phys. Rev. Lett. 103 213603
[65] Meyer H M, Breyer M and Köhl M 2016 Appl. Phys. B 122 290
[66] Primo A G, Pinho P V, Benevides R, Gröblacher S, Wiederhecker G S and Alegre T P M 2023 Nat. Commun. 14 5793

Nonlinearly induced entanglement in dissipatively coupled optomechanical system

Nonlinearly induced entanglement in dissipatively coupled optomechanical system

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Guoyao Li(李国耀) and Zhangqi Yin(尹璋琦). Entangling two levitated charged nanospheres through Coulomb interaction[J]. 中国物理B, 2024, 33(7): 74205-074205.
[2]	Geng-Biao Wei(韦庚彪), Liu Ye(叶柳), and Dong Wang(王栋). Detecting the quantum phase transition from the perspective of quantum information in the Aubry-André model[J]. 中国物理B, 2024, 33(7): 70301-070301.
[3]	Ke Xing(邢柯), Ai-Han Yin(殷爱菡), and Yong-Qi Xue(薛勇奇). A quantum blind signature scheme based on dense coding for non-entangled states[J]. 中国物理B, 2024, 33(6): 60309-060309.
[4]	Y. Lahlou, B. Maroufi, and M. Daoud. Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis[J]. 中国物理B, 2024, 33(5): 50303-050303.
[5]	Jin-Song Huang(黄劲松), Hong-Wu Huang(黄红武), Yan-Ling Li(李艳玲), and Zhong-Hui Xu(徐中辉). Single-photon scattering and quantum entanglement of two giant atoms with azimuthal angle differences in a waveguide system[J]. 中国物理B, 2024, 33(5): 50506-050506.
[6]	Peng-Hui Zhu(朱鹏辉), Wei Zhong(钟伟), Ming-Ming Du(杜明明), Xi-Yun Li(李喜云), Lan Zhou(周澜), and Yu-Bo Sheng(盛宇波). One-step quantum dialogue[J]. 中国物理B, 2024, 33(3): 30302-030302.
[7]	Lei Li(李磊), Chun-Hui Wang(王春辉), Hong-Hao Yin(尹洪浩), Ru-Quan Wang(王如泉), and Wu-Ming Liu(刘伍明). Quantum synchronization with correlated baths[J]. 中国物理B, 2024, 33(2): 20306-020306.
[8]	Mazhar Ali. Genuine entanglement under squeezed generalized amplitude damping channels with memory[J]. 中国物理B, 2024, 33(2): 20307-020307.
[9]	Wen-Liang Li(李文亮) and Duan-Lu Zhou(周端陆). Preparing highly entangled states of nanodiamond rotation and NV center spin[J]. 中国物理B, 2024, 33(2): 20305-020305.
[10]	Yang-He Chen(陈洋河), Zhen Jiang(姜震), and Guang-Qiang He(何广强). Generation of hyperentangled photon pairs based on lithium niobate waveguide[J]. 中国物理B, 2023, 32(9): 90306-090306.
[11]	Yixuan Hu(胡奕轩), Ye-Chao Liu(刘烨超), and Jiangwei Shang(尚江伟). Algorithm for evaluating distance-based entanglement measures[J]. 中国物理B, 2023, 32(8): 80307-080307.
[12]	Yu Sun(孙宇), Chang-Wei Sun(孙昌伟), Wei Zhou(周唯), Ran Yang(杨然), Jia-Chen Duan(端家晨), Yan-Xiao Gong(龚彦晓), Ping Xu(徐平), and Shi-Ning Zhu(祝世宁). Degenerate polarization entangled photon source based on a single Ti-diffusion lithium niobate waveguide in a polarization Sagnac interferometer[J]. 中国物理B, 2023, 32(8): 80308-080308.
[13]	Chun-Qi Tang(汤椿琦) and Li-Tuo Shen(沈利托). First-order quantum phase transition and entanglement in the Jaynes-Cummings model with a squeezed light[J]. 中国物理B, 2023, 32(7): 70303-070303.
[14]	Zhi Zeng(曾志). Complete hyperentangled Greenberger-Horne-Zeilinger state analysis for polarization and time-bin hyperentanglement[J]. 中国物理B, 2023, 32(6): 60301-060301.
[15]	Fang-Fang Du(杜芳芳), Gang Fan(樊钢), Yi-Ming Wu(吴一鸣), and Bao-Cang Ren(任宝藏). Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system[J]. 中国物理B, 2023, 32(6): 60304-060304.