双腔光力学系统中光学非互易

量子电子学报 ›› 2020, Vol. 37 ›› Issue (3): 328-336.

双腔光力学系统中光学非互易

王婧

通化师范学院物理学院，吉林通化 134000

收稿日期:2020-02-08 修回日期:2020-03-25 出版日期:2020-05-28 发布日期:2020-05-28
通讯作者: 联系方式 E-mail:pwl1207wj@163.com
作者简介:王婧（1983-），女，吉林双辽人，博士，讲师，主要从事量子光学方面的研究。

Optical nonreciprocity in two-cavity optomechanical system

WANG Jing

College of Physics, Tonghua Normal University, Tonghua 134000, China

Received:2020-02-08 Revised:2020-03-25 Published:2020-05-28 Online:2020-05-28

摘要/Abstract

摘要： 光学非互易在光学信号处理和量子网络等方面具有及其重要的应用。研究了含有两个机械振子的双腔光力学系统中光学非互易。该系统中两个机械振子之间存在库仑相互作用，两个光学腔场通过光纤耦合在一起。利用系统算符的时间演化方程，结合频域下标准的输入输出关系，得出传输振幅方程。结果表明，当两个光学腔场在红边带上时，光力相互作用和腔腔线性耦合相互作用这两条路径之间的量子相干效应，可以使双腔光力学系统呈现出光学非互易。进一步研究表明，相位差既能决定双腔光力学系统中能否出现光学非互易，又能决定发生光学非互易时的方向。此外还发现通过增强有效光力相互作用的大小、腔腔线性耦合强度的大小，可以增强光学非互易。

关键词: 腔光力学系统, 光学非互易, 哈密顿量, 相位差

Abstract: The optical nonreciprocity has very important applications in optical signal processing and quantum networks. The optical nonreciprocity in a two-cavity optomechanical system with two mechanical resonators is investigated. In the system, there is a coulomb interaction between the two mechanical resonators and the two cavities are coupled together by optical fiber. Based on the time evolution equation of the system operator and the standard input-output relationship in frequency domain, the transmission amplitude equation is obtained. The results show that when the system are on the red-sideband, the quantum coherence between the two paths of the optomechanical interaction and the linearly-coupled interaction can make the system present the optical nonreciprocity. Furthermore, it is shown that the phase difference can not only determine whether optical nonreciprocity can occur in the system, but also determine the direction of optical nonreciprocity. It is also found that the optical nonreciprocity can be enhanced by increasing the strength of the effective optomechanical interactionor the linearly-coupled strength between the two cavities.

Key words: cavity optomechanical system, optical nonreciprocity, Hamilton, phase difference

中图分类号:

O437.3

王婧. 双腔光力学系统中光学非互易[J]. 量子电子学报, 2020, 37(3): 328-336.

WANG Jing . Optical nonreciprocity in two-cavity optomechanical system[J]. Chinese Journal of Quantum Electronics, 2020, 37(3): 328-336.

参考文献 29

[1]	Zhang Shicheng, Niu Yueping, Lin Gongwei, et al. An introduction of magnetic-free optical nonreciprocity [J]. Chinese Journal of Nature(自然杂志), 2019, 41(5): 343-347 (in Chinese).
[2]	Jiang Cheng, Cui Yuanshun, Li Xiaowei, et al. Directional amplirectional with a triple-vity optomechanical system [J]. Journal of Huaiyin Teachers College (Natural Science Edition) (淮阴师范学院学报(自然科学版)), 2018, 17(4): 302-306 (in Chinese).
[3]	Wang Zheqi, Integrated Broadband Passive Optical Nonreciprocal Device（集成宽带无源光学非互易器件）[D] Wuhan: Master Thesis of Huazhong University of Science and Technology， 2015(in Chinese).
[4]	Zhang Liwei, Li Xianli, Yang Liu. Optical nonreciprocity with blue-detuned driving in two-cavity optomechanics [J]. Acta Physical Sinica(物理学报), 2019, 68(17): 170701 (in Chinese).
[5]	Song L N, Zheng Q, Xu X, et al. Optimal unidirectional amplifification induced by optical gain in optomechanical systems [J]. Physical Review A, 2019, 100(4): 043835.
[6]	Jiang C, Song L N, Li Y. Directional phase-sensitive amplififier between microwave and optical photons [J]. Physical Review A, 2019, 99(2): 023823.
[7]	Jiang C, Song L N, Li Y. Directional amplifier in an optomechanical system with optical gain [J]. Physical Review A, 2018, 97(5): 053812.
[8]	Xu X W, Song L N, Zheng Q, et al. Optomechanically induced nonreciprocity in a three- mode optomechanical system [J]. Physical Review A, 2018, 98(6): 063845.
[9]	Xia C C, Yan X B, Tian X D, et al. Ideal optical isolator with a two-cavity optomechanical system [J]. Optics Communications, 2019, 451: 197-201.
[10]	Jiang C, Ji B W, Cui Y S, et al. Quantum-limited directional amplififier based on a triple-cavity optomechanical system [J]. Optics Express， 2018, 26(12): 15255-15267.
[11]	Shen Z, Zhang Y L, Chen Y, et al. Experimental realization of optomechanically induced non-reciprocity [J]. Nature Photonics, 2016, 10(10): 657-661.
[12]	Li B J, Huang R, Xu X W, et al. Nonreciprocal unconventional photon blockade in a spinning optomechanical system [J]. Photonics Research, 2019, 7(6): 630-641.
[13]	Lü H, Jiang Y J, Wang Y Z, et al. Optomechanically induced transparency in a spinning resonator [J]. Photonics Research, 2017, 5(4): 367-371.
[14]	Wang J. The optical nonreciprocal response based on a four-mode optomechanical system [J]. Chinese Physics B, 2020, 29(3): 034210.
[15]	Maayani S, Dahan R, Kligerman Y, et al. Flying couplers above spinning resonators generate
	irreversible refraction [J]. Nature, 2018, 558: 569.
[16]	Korneeva Y P, Vodolazov D Y, Semenov A V, et al. Optical single-photon detection in micrometer-scale NbN
	bridges [J]. Physical Review Appled， 2018, 9(6): 064037.
[17]	Yan X B, Lu H L, Gao F, et al. Perfect optical nonreciprocity in a double-cavity optomechanical system [J]. Frontiers of Physics, 2019, 14(5): 52601.
[18]	He B, Yang L, Jiang X S, et al. Transmission nonreciprocity in a mutually coupled circulating structure [J]. Physical Review Letters, 2018, 120(20): 203904.
[19]	Yang Q, Hou B P, Lai D G. Local modulation of double optomechanically induced transparency and amplification [J]. Optics Express, 2017, 25(9): 9697-9711.
[20]	Wang T, Zheng M H, Bai C H, et al. Normal-mode splitting and optomechanically induced
	absorption, amplifification, and transparency in a hybrid optomechanical system [J]. Annalen der Physik
20	18, 530(10): 1800228.
[21]	Lü H, Özdemir S K, Kuang L M, et al. Exceptional points in random-defect phonon lasers [J]. Physical Review Applied, 2017, 8(4): 044020.
[22]	Lü X Y, Jing H, Ma J Y, et al. PT-symmetry-breaking chaos in optomechanics [J]. Physical Review Letters, 2015, 114(25): 253601.
[23]	Wang J, Tian X D, Liu Y M, et al. Entanglement manipulation via Coulomb interaction in an optomechanical cavity assisted by two-level cold atoms [J]. Laser Physics, 2018, 28(6): 065202.
[24]	Yan X B, Deng Z J, Tian X D, et al. Entanglement optimization of filtered output fields in cavity optomechanics [J]. Optics Express， 2019, 27(17): 24393-24402.
[25]	Guo Y J, Li K, Nie W J, et al. Electromagnetically-induced transparency-like ground-state cooling in a double-cavity optomechanical system [J]. Physical Review A, 2014, 90(5): 053841.
[26]	Chen H J, Fang X W. Controllable coherent perfect absorption based on cavity optomechanics system with Bose-Einstein condensation [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2017, 34(3): 349-356 (in Chinese).
[27]	Zhang C Y, Pan G X, Li H, et al. The stable entanglement of movable mirror and cavity field generated via Λ-type three-level atoms [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2020, 37(1): 63-69 (in Chinese).
[28]	Shen C Y, Mao T H, Gong Z C, et al. Parametric squeezing of mechanical resonator in an optomechanical system [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2020, 37(1): 29-33 (in Chinese).
[29]	Li L N, Gao Y B. Spontaneous radiation of single photon in optomechanical system [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2019, 36 (4): 440-443 (in Chinese).