Semiclassical limit of a measurement-induced phase transition
Sumilan Banerjee (IIS Bangalore)
Chaotic-to-non-chaotic transitions play a prominent role in our understanding of the dynamical phase diagram of both quantum and classical systems. In quantum many-body systems, a certain kind of chaotic-non-chaotic transitions, dubbed ‘measurement-induced phase transitions’ (MIPT), have led to a new paradigm for dynamical phase transitions in recent years. On the other hand, prominent examples of transition in chaos in classical dynamical systems are the stochastic synchronization transitions (ST). In this case, classical trajectories starting from different initial conditions synchronize when subjected to sufficiently strong common random stochastic noise. In this talk, I will establish a possible link between MIPT and ST by considering models of interacting quantum particles whose positions are measured continuously, albeit weakly. In the semiclassical limit, the dynamics of the system is described by a stochastic Langevin equation where the noise and the dissipation terms are both controlled by the small quantum parameter and measurement strength. I will show the existence of a chaotic-to-non-chaotic transition in the Langevin evolution as a function of either interaction or noise/dissipation strength.