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DY: Fachverband Dynamik und Statistische Physik

DY 20: Many-body Quantum Dynamics II (joint session DY/TT)

DY 20.6: Vortrag

Mittwoch, 19. März 2025, 10:45–11:00, H37

Symmetry-Resolved Out-of-Time-Order Correlators with Projected Matrix Product Operators — •Martina Gisti, David Luitz, and Maxime Debertolis — Institute of Physics, University of Bonn, Nußallee 12, 53115 Bonn, Germany

Out-of-Time-Order Correlators (OTOCs) are key measures of quantum many-body chaos and information spreading. We systematically analyse OTOCs as a function of particle number for interacting spinless fermions in one dimension. With the concept of generalized operator charge, we develop a formalism for the time evolution of symmetry-projected matrix product operators, which we use to resolve the scrambling behaviour by particle number sector. Our results reveal a crossover from ballistic to diffusive dynamics at early times and a saturation regime at late times.

Keywords: Out-of-Time-Order Correlators; Matrix Product Operator; Conservation Laws; Strongly Correlated Systems; Quantum Many-Body Systems