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Chin. Phys. B, 2022, Vol. 31(7): 070301    DOI: 10.1088/1674-1056/ac4a6a
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Topological phase transition in cavity optomechanical system with periodical modulation

Zhi-Xu Zhang(张志旭)1, Lu Qi(祁鲁)2, Wen-Xue Cui(崔文学)1,†, Shou Zhang(张寿)1, and Hong-Fu Wang(王洪福)1,‡
1 Department of Physics, College of Science, Yanbian University, Yanji 133002, China;
2 School of Physics, Harbin Institute of Technology, Harbin 150001, China
Abstract  We investigate the topological phase transition and the enhanced topological effect in a cavity optomechanical system with periodical modulation. By calculating the steady-state equations of the system, the steady-state conditions of cavity fields and the restricted conditions of effective optomechanical couplings are demonstrated. It is found that the cavity optomechanical system can be modulated to different topological Su-Schrieffer-Heeger (SSH) phases via designing the optomechanical couplings legitimately. Meanwhile, combining the effective optomechanical couplings and the probability distributions of gap states, we reveal the topological phase transition between trivial SSH phase and nontrivial SSH phase via adjusting the decay rates of cavity fields. Moreover, we find that the enhanced topological effect of gap states can be achieved by enlarging the size of system and adjusting the decay rates of cavity fields.
Keywords:  topological phase transition      periodical modulation      enhanced topological effect  
Received:  09 November 2021      Revised:  21 December 2021      Accepted manuscript online:  12 January 2022
PACS:  03.65.Vf (Phases: geometric; dynamic or topological)  
  73.43.Nq (Quantum phase transitions)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61822114, 12074330, and 62071412).
Corresponding Authors:  Wen-Xue Cui, Hong-Fu Wang     E-mail:  cuiwenxue@ybu.edu.cn;hfwang@ybu.edu.cn

Cite this article: 

Zhi-Xu Zhang(张志旭), Lu Qi(祁鲁), Wen-Xue Cui(崔文学), Shou Zhang(张寿), and Hong-Fu Wang(王洪福) Topological phase transition in cavity optomechanical system with periodical modulation 2022 Chin. Phys. B 31 070301

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