Effect of system energy on quantum signatures of chaos in the two-photon Dicke model

Abstract

We have studied entanglement entropy and Husimi Q distribution as a tool to explore chaos in the quantum two-photon Dicke model. With the increase of the energy of system, the linear entanglement entropy of coherent state prepared in the classical chaotic and regular regions become more distinguishable, and the correspondence relationship between the distribution of time-averaged entanglement entropy and the classical Poincaré section has been improved obviously. Moreover, Husimi Q distribution for the initial states corresponded to the points in the chaotic region in the higher energy system disperses more quickly than that in the lower energy system. Our result imply that higher system energy has contributed to distinguish the chaotic and regular behavior in the quantum two-photon Dicke model.

Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model

“…Away from the thermodynamic limit, the system undergoes a transition from quasi-integrability to quantum chaos, caused by the precursors of the quantum phase transition [53][54][55][56][57][58][59][60][61]. Significant efforts have been devoted to studying chaos in semiclassical and quantum regimes of closed Rabi and Dicke models [62][63][64][65][66].…”

“…Away from the thermodynamic limit, the system undergoes a transition from quasi-integrability to quantum chaos, caused by the precursors of the quantum phase transition [53][54][55][56][57][58][59][60][61]. Significant efforts have been devoted to studying chaos in semiclassical and quantum regimes of closed Rabi and Dicke models [62][63][64][65][66]. Furthermore, including the effect of dissipative channels, nonlinear dynamics and chaotic behavior in a driven-dissipative setting [67] and considering anisotropic couplings [68] have been recently discussed.…”

Research and Development in Beijing

“…Furthermore, the occurrence of complex nonlinear dynamics and chaos, in particular, is important for several areas of classical and quantum physics [42,43], as well as for Dicke-type models which allow for semiclassical approximation in the large N limit [44][45][46]. When * stefano.chesi@csrc.ac.cn neglecting the influence of the environment, a transition from quasi-integrability to quantum chaos is predicted to occur after the superradiant phase transition has taken place [47][48][49][50]. Going beyond closed-system evolution, the observation of classical chaos, has been reported in models with an unbalanced interaction, i.e., where the coupling strength of the counter-rotating terms is larger than the co-rotating terms [41,51,52].…”

CAS Center for Excellence in Quantum Information and Quantum Physics: exploring frontiers of quantum physics and quantum technology

“…Linear Entanglement entropy-The linear entanglement entropy has been widely used to diagnose chaos in quantum systems [41][42][43]. It is defined as…”