Student Seminar | April 08, 16:30
Following the Most Probable Trajectory
The interplay between unitary evolution and measurements in many-body systems has been the focus of numerous recent studies, as it can give rise to intriguing phenomena such as measurement-induced phase transitions. However, these critical phenomena are extremely challenging to detect experimentally and difficult to analyze theoretically, as they require the knowledge of beyond-average statistics of quantum trajectories. In this seminar, I will introduce the concept of following the most probable trajectory—in our case, the average trajectory—and demonstrate how this approach can be used to study various models. I will begin with the simplest case of a free bosonic theory to validate the method and illustrate how this unique trajectory captures key information about the monitored dynamics. I will then present novel results on interacting bosonic models focusing on the Sine-Gordon model.
SISSA
0.03
Contact: Karim Chahine