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DY: Fachverband Dynamik und Statistische Physik

DY 41: Quantum Dynamics, Decoherence, and Quantum Information (joint session DY/TT)

DY 41.3: Vortrag

Freitag, 21. März 2025, 10:00–10:15, H37

Entanglement phases, localization and ergodicity of monitored free fermions in 2D — •Karim Chahine and Michael Buchhold — Institut für Theoretische Physik, Universität zu Köln, D-50937 Cologne, Germany

Monitored quantum systems, characterized by the interplay between unitary evolution and mid-circuit measurements, have recently emerged as a novel expression of quantum dynamics. Despite their inherently out-of-equilibrium nature, these systems can host robust quantum phases and display measurement-induced phase transitions (MIPT) in the entanglement entropy. Remarkably, they are also unique in providing a link between quantum dynamics in D dimensions and quantum statistical mechanics in D+1 dimensions. In this talk, I will present our recent work on a new arena with a rich phenomenology: continuously monitored, U(1)-symmetric free fermions in 2D. I will address the emerging MIPT and its similarities and differences with Anderson-type localization transitions. Some emphasis will be put on the low-measurement regime, where intriguing features in the entanglement structure and ergodic properties emerge, revealing a richer phenomenology than previously anticipated.

Keywords: entanglement entropy; measurement; disorder; free fermions; ergodicity