Title: Entanglement transitions in structured and random nonunitary Gaussian circuits
Abstract: In this talk I will present a family of simple Gaussian non-unitary circuits that lead to rich measurement-induced phase transitions, ranging from area to volume law scalings of the entanglement entropy. In the case of time-periodic non-unitary circuits, there exists a sharp transition from volume to area law. I will show how the full breaking of the time-translation symmetry in a class of quasiperiodic (Fibonacci) circuits leads to even richer entanglement transitions, with extended critical regions characterized by a fractal structure of entanglement separating area and volume law phases. Finally, I will show that the results survive in random circuits thanks to an underlying compact symmetry.
Bio: Bastien Lapierre earned his PhD in 2023 from the University of Zürich under the supervision of Titus Neupert and has been a postdoc at Princeton University in the group of Shinsei Ryu since. His research aims at theoretically designing new phases of quantum matter, which include non-equilibrium phases arising in driven, dissipative and monitored quantum systems, as well as topological phases unique to strongly disordered matter.
]]>