The optical nonreciprocal response based on a four-mode optomechanical system

doi:10.1088/1674-1056/ab6836

摘要/Abstract

摘要： We propose a scheme for realizing the optical nonreciprocal response based a four-mode optomechanical system, consisting of two charged mechanical modes and two linearly coupled optical modes. Two charged mechanical modes are coupled by Coulomb interaction, and two optical modes are coupled to one of mechanical modes by radiation pressure. We numerically evaluate the transmission probability of the probe field to obtain the optimum optical nonreciprocal response parameters. Also, we show that the optical nonreciprocal response is caused by the quantum interference between the optomechanical couplings and the linearly coupled interaction that breaks the time-reversal symmetry.

关键词: optical nonreciprocal response, optomechanical system, phase difference

Abstract: We propose a scheme for realizing the optical nonreciprocal response based a four-mode optomechanical system, consisting of two charged mechanical modes and two linearly coupled optical modes. Two charged mechanical modes are coupled by Coulomb interaction, and two optical modes are coupled to one of mechanical modes by radiation pressure. We numerically evaluate the transmission probability of the probe field to obtain the optimum optical nonreciprocal response parameters. Also, we show that the optical nonreciprocal response is caused by the quantum interference between the optomechanical couplings and the linearly coupled interaction that breaks the time-reversal symmetry.

Key words: optical nonreciprocal response, optomechanical system, phase difference

中图分类号: (Quantum optics)

42.50.-p

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

王婧. The optical nonreciprocal response based on a four-mode optomechanical system[J]. 中国物理B, 2020, 29(3): 34210-034210.

Jing Wang(王婧). The optical nonreciprocal response based on a four-mode optomechanical system[J]. Chin. Phys. B, 2020, 29(3): 34210-034210.

参考文献 58

[1]	Yan X B 2017 Phys. Rev. A 96 053831 doi: 10.1103/PhysRevA.96.053831
[2]	Agarwal G S and Huang S M 2010 Phys. Rev. A 81 041803 doi: 10.1103/PhysRevA.81.041803
[3]	Weis S, Riviére R, Deleglise S, Gavartin E, Arcizet O, Schliesser A and Kippenberg T J 2010 Science 330 1520 doi: 10.1126/science.1195596
[4]	Bai C, Hou B P, Lai D G and Wu D 2016 Phys. Rev. A 93 043804 doi: 10.1103/PhysRevA.93.043804
[5]	Wei W Y, Yu Y F and Zhang Z M 2018 Chin. Phys. B 27 034204 doi: 10.1088/1674-1056/27/3/034204
[6]	Lu T X, Jiao Y F, Zhang H L, Saif F and Jing H 2019 Phys. Rev. A 100 013813 doi: 10.1103/PhysRevA.100.013813
[7]	Lü H, Wang C Q, Yang L and Jing H 2018 Phys. Rev. Appl. 10 014006 doi: 10.1103/PhysRevApplied.10.014006
[8]	Zhang H, Saif F, Jiao Y and Jing H 2018 Opt. Express 26 25199 doi: 10.1364/OE.26.025199
[9]	Lü H, Jiang Y J, Wang Y Z and Jing H 2017 Photon. Res. 5 367 doi: 10.1364/PRJ.5.000367
[10]	Jiao Y F, Lu T X and Jing H 2018 Phys. Rev. A 97 013843 doi: 10.1103/PhysRevA.97.013843
[11]	Jiao Y, Lü H, Qian J, Li Y and Jing H 2016 New J. Phys. 18 083034 doi: 10.1088/1367-2630/18/8/083034
[12]	Jing H, Özdemir Sxahin K, Geng Z, Zhang J, Lü X Y, Peng B, Yang L and Nori F 2015 Sci. Rep. 5 9663 doi: 10.1038/srep09663
[13]	Yang Q, Hou B P and Lai D G 2017 Opt. Express 25 9697 doi: 10.1364/OE.25.009697
[14]	Yan X B, Jia W Z, Li Yong, Wu J H, Li X L and Mu H W 2015 Front. Phys. 10 351 doi: 10.1007/s11467-015-0456-2
[15]	Guo Y J, Li K, Nie W J and Li Y 2014 Phys. Rev. A 90 053841 doi: 10.1103/PhysRevA.90.053841
[16]	Liu Y M, Bai C H, Wang D Y, Wang T, Zheng M H, Wang H F, Zhu A D and Zhang S 2018 Opt. Express 26 6143 doi: 10.1364/OE.26.006143
[17]	Liu Y C, Xiao Y F, Luan X S, Gong Q and Wong C W 2015 Phys. Rev. A 91 033818 doi: 10.1103/PhysRevA.91.033818
[18]	Zhang S, Zhang J Q, Zhang J, Wu C W, Wu W and Chen P X 2014 Opt. Express 22 28118 doi: 10.1364/OE.22.028118
[19]	Huang S M and Agarwal G S 2009 Phys. Rev. A 80 033807 doi: 10.1103/PhysRevA.80.033807
[20]	Lü X Y, Jing H, Ma J Y and Wu Y 2015 Phys. Rev. Lett. 114 253601 doi: 10.1103/PhysRevLett.114.253601
[21]	Wu S C, Qin L G, Lu J and Wang Z Y 2019 Chin. Phys. B 28 074204 doi: 10.1088/1674-1056/28/7/074204
[22]	Wu Q 2016 Chin. Phys. B 25 010304 doi: 10.1088/1674-1056/25/1/010304
[23]	Cheng J, Liang X T, Zhang W Z and Duan X M 2018 Chin. Phys. B 27 120302 doi: 10.1088/1674-1056/27/12/120302
[24]	Zhang Y B, Liu J H, Yu Y F and Zhang Z M 2018 Chin. Phys. B 27 074209 doi: 10.1088/1674-1056/27/7/074209
[25]	Yan J K, Zhu X F and Chen B 2018 Chin. Phys. B 27 074214 doi: 10.1088/1674-1056/27/7/074214
[26]	Mu Q X, Lang C and Zhang W Z 2019 Chin. Phys. B 28 114206 doi: 10.1088/1674-1056/ab48f1
[27]	Min F X, Xiao X Y, Yu Y F and Zhang Z M 2015 Chin. Phys. B 24 050301 doi: 10.1088/1674-1056/24/5/050301
[28]	Xia W Q, Yu Y F and Zhang Z M 2017 Chin. Phys. B 26 054210 doi: 10.1088/1674-1056/26/5/054210
[29]	Yan X B, Cui C L, Gu K H, Tian X D, Fu C B and Wu J H 2014 Opt. Express 22 4886 doi: 10.1364/OE.22.004886
[30]	Yan X B, Deng Z J, Tian X D and Wu J H 2019 Opt. Express 27 24393 doi: 10.1364/OE.27.024393
[31]	Yan X B, Fu C B, Gu K H, Wang R and Wu J H 2013 Opt. Commun. 308 265 doi: 10.1016/j.optcom.2013.07.016
[32]	Liu Y L, Wang C, Zhang J and Liu Y X 2018 Chin. Phys. B 27 024204 doi: 10.1088/1674-1056/27/2/024204
[33]	Ma P C, Zhang J Q, Xiao Y, Feng M and Zhang Z M 2014 Phys. Rev. A 90 043825 doi: 10.1103/PhysRevA.90.043825
[34]	Zhang J Q, Li Y, Feng M and Xu Y 2012 Phys. Rev. A 86 053806 doi: 10.1103/PhysRevA.86.053806
[35]	Wang J, Tian X D, Liu Y M, Cui C L and Wu J H 2018 Laser Phys. 28 065202 doi: 10.1088/1555-6611/aab9c8
[36]	Wang Y P, Zhang Z C, Yu Y F and Zhang Z M 2019 Chin. Phys. B 28 014202 doi: 10.1088/1674-1056/28/1/014202
[37]	Bi L, Hu J, Jiang P, Kim D H, Dionne G F, Kimerling L C and Ross C A 2011 Nat. Photon. 5 758 doi: 10.1038/nphoton.2011.270
[38]	Huang R, Miranowicz A, Liao J Q, Nori F and Jing H 2018 Phys. Rev. Lett. 121 153601 doi: 10.1103/PhysRevLett.121.153601
[39]	Chang L, Jiang X, Hua S, Yang C, Wen J, Jiang L, Li G, Wang G and Xiao M 2014 Nat. Photon. 8 524 doi: 10.1038/nphoton.2014.133
[40]	Fang K, Yu Z and Fan S 2012 Phys. Rev. Lett. 108 153901 doi: 10.1103/PhysRevLett.108.153901
[41]	Wang D W, Zhou H T, Guo M J, Zhang J X, Evers J and Zhu S Y 2013 Phys. Rev. Lett. 110 093901 doi: 10.1103/PhysRevLett.110.093901
[42]	Korneeva Y P, Vodolazov D Y, Semenov A V, Florya I N, Simonov N, Baeva E, Korneev A A, Goltsman G N and Klapwijk T M 2018 Phys. Rev. Appl. 9 064037 doi: 10.1103/PhysRevApplied.9.064037
[43]	Shen Z, Zhang Y L, Chen Y, Zou C L, Xiao Y F, Zou X B, Sun F W, Guo G C and Dong C H 2016 Nat. Photon. 10 657 doi: 10.1038/nphoton.2016.161
[44]	Maayani S, Dahan R, Kligerman Y, Moses E, Hassan A U, Jing H, Nori F, Christodoulides D N and Carmon T 2018 Nature 558 569 doi: 10.1038/s41586-018-0245-5
[45]	Li B, Huang R, Xu X W, Miranowicz A and Jing H 2019 Photon. Res. 7 630 doi: 10.1364/PRJ.7.000630
[46]	Li Y, Huang Y Y, Zhang X Z and Tian L 2017 Opt. Express 25 018907 doi: 10.1364/OE.25.018907
[47]	Mirza I M, Ge W C and Jing H 2019 Opt. Express 27 25515 doi: 10.1364/OE.27.025515
[48]	Jiang C, Song L N and Li Y 2018 Phys. Rev. A 97 053812 doi: 10.1103/PhysRevA.97.053812
[49]	Jiang C, Baowei J I, Cui Y S, Zuo F, Shi J and Chen G 2018 Opt. Express 26 15255 doi: 10.1364/OE.26.015255
[50]	Jiang C, Song L N and Li Y 2019 Phys. Rev. A 99 023823 doi: 10.1103/PhysRevA.99.023823
[51]	Xu X W and Li Y 2015 Phys. Rev. A 91 053854 doi: 10.1103/PhysRevA.91.053854
[52]	Xu X W, Li Y, Chen A X and Liu Y X 2016 Phys. Rev. A 93 023827 doi: 10.1103/PhysRevA.93.023827
[53]	Xu X W, Song L N, Zheng Q, Wang Z H and Li Y 2018 Phys. Rev. A 98 063845 doi: 10.1103/PhysRevA.98.063845
[54]	Yan X B, Lu H L, Gao F and Yang L 2019 Front. Rhys. 14 52601 doi: 10.1007/s11467-019-0922-3
[55]	Xia C C, Yan X B, Tian X D, Gao F 2019 Opt. Commun. 451 197 doi: 10.1016/j.optcom.2019.06.059
[56]	Zhang L W, Li X L and Yang L 2019 Acta Phys. Sin. 68 170701 (in Chinese)
[57]	Paternostro M, Gigan S, Kim M S, Blaser F and Böhm H R 2006 New J. Phys. 8 107 doi: 10.1088/1367-2630/8/6/107
[58]	DeJesus E X and Kaufman C 1987 Phys. Rev. A 35 5288 doi: 10.1103/PhysRevA.35.5288