Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series LPTMS
Subjects cond-mat.stat-mech
Date Thursday 14 December 2023
Time 11:00
Institute LPTMS
Seminar Room Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530
Speaker's Last Name Banerjee
Speaker's First Name Sumilan
Speaker's Email Address
Speaker's Institution IIS Bangalore
Title Semiclassical limit of a measurement-induced phase transition
Abstract 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.
arXiv Preprint Number

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