Regensburg 2019 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 4: Nonequilibrium Quantum Many-Body Systems 1 (joint session TT/DY)

TT 4.12: Talk

Monday, April 1, 2019, 12:30–12:45, H22

Diffusion and operator spreading in matrix product operators — •Johannes Hauschild and Frank Pollmann — Department of Physics, Technische Universität München, Garching, Germany

Matrix product states (MPS) became one of the standard tools for the simulation of real time dynamics in quantum many-body systems in one dimensional systems. The fast growth of entanglement during a real time evolution usually restricts the evolution of pure MPS to short to intermediate times. In certain cases, the operator entanglement entropy of a single-site operator evolved in the Heisenberg picture grows much slower. We discuss advantages and disadvantages of the different methods in the context of extracting diffusion constants and the study of operator spreading in disordered systems. Starting from a model which displays diffusion already after short times, we study the transition to a many-body localized phase and perform a careful convergence analysis in the bond dimension.