中国物理B ›› 2021, Vol. 30 ›› Issue (5): 50301-050301.doi: 10.1088/1674-1056/abda30

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Application of non-Hermitian Hamiltonian model in open quantum optical systems

Hong Wang(王虹)1, Yue Qin(秦悦)1, Jingxu Ma(马晶旭)1, Heng Shen(申恒)1,3, Ying Hu(胡颖)2,3, and Xiaojun Jia(贾晓军)1,3,†   

  1. 1 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China;
    2 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;
    3 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:2020-11-26 修回日期:2021-01-05 接受日期:2021-01-11 出版日期:2021-05-14 发布日期:2021-05-14
  • 通讯作者: Xiaojun Jia E-mail:jiaxj@sxu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61925503, 11874038, and 11654002), the Key Project of the National Key R&D Program of China (Grant Nos. 2016YFA0301402 and 2020YFA0309400), the Program for the Innovative Talents of Higher Education Institutions of Shanxi, the Program for Sanjin Scholars of Shanxi Province, and the Fund for Shanxi "1331 Project" Key Subjects Construction.

Application of non-Hermitian Hamiltonian model in open quantum optical systems

Hong Wang(王虹)1, Yue Qin(秦悦)1, Jingxu Ma(马晶旭)1, Heng Shen(申恒)1,3, Ying Hu(胡颖)2,3, and Xiaojun Jia(贾晓军)1,3,†   

  1. 1 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China;
    2 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China;
    3 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
  • Received:2020-11-26 Revised:2021-01-05 Accepted:2021-01-11 Online:2021-05-14 Published:2021-05-14
  • Contact: Xiaojun Jia E-mail:jiaxj@sxu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61925503, 11874038, and 11654002), the Key Project of the National Key R&D Program of China (Grant Nos. 2016YFA0301402 and 2020YFA0309400), the Program for the Innovative Talents of Higher Education Institutions of Shanxi, the Program for Sanjin Scholars of Shanxi Province, and the Fund for Shanxi "1331 Project" Key Subjects Construction.

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摘要： Non-Hermitian systems have observed numerous novel phenomena and might lead to various applications. Unlike standard quantum physics, the conservation of energy guaranteed by the closed system is broken in the non-Hermitian system, and the energy can be exchanged between the system and the environment. Here we present a scheme for simulating the dissipative phase transition with an open quantum optical system. The competition between the coherent interaction and dissipation leads to the second-order phase transition. Furthermore, the quantum correlation in terms of squeezing is studied around the critical point. Our work may provide a new route to explore the non-Hermitian quantum physics with feasible techniques in experiments.

关键词: non-Hermitian Hamiltonian, open quantum system, optical parametric processing

Abstract: Non-Hermitian systems have observed numerous novel phenomena and might lead to various applications. Unlike standard quantum physics, the conservation of energy guaranteed by the closed system is broken in the non-Hermitian system, and the energy can be exchanged between the system and the environment. Here we present a scheme for simulating the dissipative phase transition with an open quantum optical system. The competition between the coherent interaction and dissipation leads to the second-order phase transition. Furthermore, the quantum correlation in terms of squeezing is studied around the critical point. Our work may provide a new route to explore the non-Hermitian quantum physics with feasible techniques in experiments.

Key words: non-Hermitian Hamiltonian, open quantum system, optical parametric processing

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

  • 03.65.Yz
04.25.Nx (Post-Newtonian approximation; perturbation theory; related Approximations) 11.30.Qc (Spontaneous and radiative symmetry breaking) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)