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Spin fluctuations in the dissipative phase transitions of the quantum Rabi model

From QCLab

We will present our research on dissipative phase transitions in the quantum Rabi model in this report. We highlight that significant spin fluctuations persist in the system’s stationary state, which have important consequences for the phase diagram and critical properties. In the second-order phase transition, there is a significant suppression of the order parameter and the appearance of non-universal factors, which directly reflect the spin populations. Furthermore, upon entering a parameter regime where mean-field theory predicts a tricritical phase, we find a first-order phase transition due to the unexpected collapse of superradiance. An accurate and physically transparent description going beyond mean-field theory is established by combining exact numerical simulations, the cumulant expansion, and analytical approximations based on reduced master equations and an effective equilibrium theory.