Measurement-induced phase transition in interacting bosons from the most likely quantum trajectory
Anna Delmonte (Collège de France)
When quantum many-body systems are continuously monitored during their time evolution, the interplay between unitary dynamics and the stochastic nature of quantum measurements, represented by quantum trajectories, can give rise to novel phenomena such as measurement-induced phase transitions. The study of such dynamics is, however, particularly complex both theoretically and experimentally, due to the combination of many-body complexity and the stochastic nature of quantum measurements.
In this seminar, we will briefly introduce these concepts and explore a new methodology to overcome this complexity and study monitored many-body bosonic systems by using solely the most likely quantum trajectory. We will show how this method works exactly in the case of free bosons and yields a good approximation for studying interacting models, such as the Sine-Gordon model. This approach allows us to observe a previously inaccessible measurement-induced phase transition in an interacting bosonic system.