Dresden 2026 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 32: Many-body Systems: Equilibration, Chaos, and Localization (joint session DY/TT)
DY 32.8: Vortrag
Mittwoch, 11. März 2026, 11:30–11:45, HÜL/S186
Dynamical Pictures for Growth of Entanglement and Decay of Correlators in U(1) Conserving Random Circuits — •Marco Lastres1,2, Olexei I. Motrunich3, and Sanjay Moudgalya1,2 — 1Technical University of Munich, School of Natural Sciences, 85748 Garching, Germany — 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany — 3Department of Physics, Caltech, Pasadena, CA, USA
We study the dynamics of random circuit models with a global U(1) charge conservation law. Prior work showed that systems without conservation laws exhibit linear growth of entanglement, linked to domain wall dynamics in an effective ferromagnetic model. In contrast, rigorous upper bounds for U(1)-conserving systems indicate that diffusive charge transport constrains Rényi entropies to grow only diffusively as √t. We study the second Rényi entropy in U(1)-conserving random circuits by mapping its dynamics onto the low-energy physics of an effective interacting Hamiltonian. This approach explicitly demonstrates the microscopic mechanism which produces diffusive growth of entanglement in the effective replica model. We also show that the same effective model naturally captures the recently discovered subexponential decay of non-hydrodynamic correlations through a closely related mechanism. Further, we demonstrate that in a different regime this model can also describe the dynamics of entanglement in noisy free-fermion systems, which also exhibit diffusive entanglement growth, but through a different mechanism. Finally, we discuss extensions to other continuous symmetries and to higher Rényi entropies.
Keywords: Entanglement growth; Random circuits; Entanglement entropy; Brownian circuits; Rényi entropy