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

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.