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

Abstract

Fascinating aspects of non-Hermitian system have led to numerous novel phenomena and applications. In contrast to standard quantum physics, describing a conservation of energy promised by the closed system is broken in non-Hermitian system, and the energy can be exchanged between the system and 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 experimentally feasible techniques.