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DY: Fachverband Dynamik und Statistische Physik

DY 47: Nonequilibrium Quantum Many-Body Systems II (joint session TT/DY)

DY 47.1: Hauptvortrag

Mittwoch, 14. März 2018, 15:00–15:30, H 3010

Efficient Simulation of Quantum Thermalization and Dynamics — •Frank Pollmann — Department of Physics, Technical University of Munich, 85748 Garching, Germany

The past decade has seen a great interest in the question about whether and how quantum many-body system locally thermalize. It has been driven by theoretical findings involving the long sought demonstration that many-body localization (MBL) exists as well as the derivation of exact bounds on chaos. In my talk, I will introduce matrix-product state (MPS) based methods that allow for an efficient numerical simulation of the quantum thermalization dynamics. Firstly, I will show that, contrary to the common belief that the rapid growth of entanglement restricts simulations to short times, the long time limit of local observables can be well captured using the MPS based time-dependent variational principle. Secondly, I will discuss how mixed states can be represented using dynamically disentangled purified states. These novel methods allow to extract transport coefficients, e.g. the energy diffusion constant, efficiently.