Mr. Giovanni Di Fresco

Measurement-Induced Phase Transitions: From No-Click Limits to Full Lindbladian

Out-of-equilibrium closed systems undergo very interesting physical phenomena such as thermalization, transport, and entanglement properties. Recently, a lot of attention has been given to these systems in situations where unitary dynamics are alternated with measurements. This is particularly due to measurement-induced phase transitions (MIPT), where the interplay between measurement and unitary dynamics gives rise to different non-equilibrium phases characterized by distinct entanglement structures. In this work, we investigate whether signatures of MIPT persist under partial post-selection, i.e., averaging over a subset of trajectories as opposed to the full ensemble. Conceptually, this corresponds to retaining only partial information about the measurement outcome. Here, we introduce a Liouvillian model that interpolates between the full post-selected scenario, i.e., the so-called no-click limit, and the Lindbladian model. We examine the steady state of a continuously monitored fermionic Kitaev chain, characterizing its correlation and entanglement properties across the whole phase diagram.