Berlin 2024 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 35: Poster: Quantum Dynamics and Many-body Systems
DY 35.18: Poster
Wednesday, March 20, 2024, 15:00–18:00, Poster D
Topological phases in measurement-only quantum circuits and their transitions — •Pugazharasu Anancia Devaneyan1,2, Michael Buchhold2, and Kai Klocke3 — 1Department of Physics, Rheinische Friedrich-Wilhelms-Universität Bonn, D-53113 Bonn, Germany — 2Institut für Theoretische Physik, Universität zu Köln, D-50937 Cologne, Germany — 3Department of Physics, University of California, Berkeley, California 94720, USA
Random quantum circuits serve as a fertile domain for uncovering far from equillibrium phenomena, with measurements providing directionality to dynamics. Recent advances emphasize the utility of statistical mechanics of d-dimensional loop models as a framework for understanding specific classes of measurement-only random quantum circuits in d+1 dimensions. This work explores quantum phase transitions between different topological states in measurement-only random circuits, featuring a competition among several classes of non-commuting measurement operators precisely described by a loop model. Numerical simulations of the loop model yield information-theoretic observables entanglement entropy, mutual information, and the entanglement scaling pre-factor discerned from the distribution of loop lengths at the boundary. Our findings reveal a novel topological phase transition between well-defined winding number phases and those with fluctuating winding numbers, intricately linked to the annihilation of Majorana zero modes.
Keywords: Symmetry protected topological states; Nonequillibrium statistical mechanics; Quantum circuits; Quantum entanglement; Quantum measurements