Bonn 2025 – scientific programme

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QI: Fachverband Quanteninformation

QI 33: Quantum Materials and Many-Body Systems

QI 33.8: Talk

Thursday, March 13, 2025, 16:15–16:30, HS VIII

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