Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model

doi:10.1088/1674-1056/ac0349

中国物理B ›› 2021, Vol. 30 ›› Issue (11): 110309-110309.doi: 10.1088/1674-1056/ac0349

Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model

Xianfeng Ou(欧先锋)^1,2, Jiahao Huang(黄嘉豪)^1,2,†, and Chaohong Lee(李朝红)^1,2,3

1 Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing & School of Physics and Astronomy, Sun Yat-Sen University(Zhuhai Campus), Zhuhai 519082, China;
2 State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University(Guangzhou Campus), Guangzhou 510275, China;
3 Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

收稿日期:2021-04-08 修回日期:2021-05-08 接受日期:2021-05-20 出版日期:2021-10-13 发布日期:2021-10-27
通讯作者: Jiahao Huang E-mail:hjiahao@mail2.sysu.edu.cn
基金资助:
Project supported by the Key-Area Research and Development Program of GuangDong Province, China (Grant No. 2019B030330001), the National Natural Science Foundation of China (Grant Nos. 12025509, 11874434, and 11704420), and the Science and Technology Program of Guangzhou (China) (Grant No. 201904020024). J.H. is partially supported by the Guangzhou Science and Technology Projects (Grant No. 202002030459).

Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model

Xianfeng Ou(欧先锋)^1,2, Jiahao Huang(黄嘉豪)^1,2,†, and Chaohong Lee(李朝红)^1,2,3

1 Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing & School of Physics and Astronomy, Sun Yat-Sen University(Zhuhai Campus), Zhuhai 519082, China;
2 State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University(Guangzhou Campus), Guangzhou 510275, China;
3 Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

Received:2021-04-08 Revised:2021-05-08 Accepted:2021-05-20 Online:2021-10-13 Published:2021-10-27
Contact: Jiahao Huang E-mail:hjiahao@mail2.sysu.edu.cn
Supported by:
Project supported by the Key-Area Research and Development Program of GuangDong Province, China (Grant No. 2019B030330001), the National Natural Science Foundation of China (Grant Nos. 12025509, 11874434, and 11704420), and the Science and Technology Program of Guangzhou (China) (Grant No. 201904020024). J.H. is partially supported by the Guangzhou Science and Technology Projects (Grant No. 202002030459).

摘要/Abstract

摘要： The open quantum system can be described by either a Lindblad master equation or a non-Hermitian Hamiltonian (NHH). However, these two descriptions usually have different exceptional points (EPs), associated with the degeneracies in the open quantum system. Here, considering a dissipative quantum Rabi model, we study the spectral features of EPs in these two descriptions and explore their connections. We find that, although the EPs in these two descriptions are usually different, the EPs of NHH will be consistent with the EPs of master equation in the weak coupling regime. Further, we find that the quantum Fisher information (QFI), which measures the statistical distance between quantum states, can be used as a signature for the appearance of EPs. Our study may give a theoretical guidance for exploring the properties of EPs in open quantum systems.

关键词: dissipative quantum Rabi model, non-Hermitian Hamiltonian, Lindblad master equation, exceptional points

Abstract: The open quantum system can be described by either a Lindblad master equation or a non-Hermitian Hamiltonian (NHH). However, these two descriptions usually have different exceptional points (EPs), associated with the degeneracies in the open quantum system. Here, considering a dissipative quantum Rabi model, we study the spectral features of EPs in these two descriptions and explore their connections. We find that, although the EPs in these two descriptions are usually different, the EPs of NHH will be consistent with the EPs of master equation in the weak coupling regime. Further, we find that the quantum Fisher information (QFI), which measures the statistical distance between quantum states, can be used as a signature for the appearance of EPs. Our study may give a theoretical guidance for exploring the properties of EPs in open quantum systems.

Key words: dissipative quantum Rabi model, non-Hermitian Hamiltonian, Lindblad master equation, exceptional points

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

42.50.Pq (Cavity quantum electrodynamics; micromasers) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)

Xianfeng Ou(欧先锋), Jiahao Huang(黄嘉豪), and Chaohong Lee(李朝红). Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model[J]. 中国物理B, 2021, 30(11): 110309-110309.

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Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model

Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model

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