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DY: Fachverband Dynamik und Statistische Physik

DY 46: Many-body Quantum Dynamics I (joint session DY/TT)

DY 46.7: Vortrag

Donnerstag, 12. März 2026, 11:15–11:30, HÜL/S186

Chaotic many-body quantum dynamics, spectral correlations, and energy diffusion — •Dominik Hahn and John Chalker — Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom

We present results on the quantum dynamics of a minimal model with spatial structure and local interactions. The model features a time-independent Hamiltonian, in contrast to the widely studied quantum circuits, and is analytically tractable in the limit of large local Hilbert space dimension and weak intersite coupling. In this regime, we show that the energy dynamics are governed by a classical master equation exhibiting diffusive behavior. Furthermore, we demonstrate that the spectral form factor can be expressed exactly in terms of the solution to this master equation, demonstrating how the linear ramp emerges at long times, while locality gives rise to an additional enhancement at short times.

Keywords: Quantum dynamics; Random matrix theory; Exactly solvable systems; Thermalization