Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster Session: Quantum Chaos and Many-Body Dynamics

DY 43.5: Poster

Donnerstag, 8. September 2022, 15:00–18:00, P2

Metallicity in the Dissipative Hubbard-Holstein Model: Markovian and Non-Markovian Tensor-Network Methods for Open Quantum Many-Body Systems — •Mattia Moroder¹, Martin Grundner¹, François Damanet², Ulrich Schollwöck¹, Sam Mardazad¹, Thomas Köhler³, Sebastian Paeckel¹, and Stuart Flannigan⁴ — ¹Department of Physics, Ludwig-Maximilians-Universität München, München, Germany — ²Institut de Physique Nucléaire, Atomique et de Spectroscopie, CESAM, University of Liège, B-4000 Liège, Belgium — ³Department of Physics and Astronomy, Uppsala University, Uppsala, Sweden — ⁴Department of Physics & SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom

We investigate the impact of dissipation on polarons and bipolarons in the paradigmatic Hubbard-Holstein model. We do so by combining the non-Markovian hierarchy of pure states (HOPS) method and the Markovian Quantum Jump (QJ) method with the newly-developed projected-purification (PP) method for matrix-product states (MPS).

By studying the system's dynamics after global quenches from different ground states, we show that dissipation reduces the polaron's mobility and the electron pairing.

We also find that PP gives a significant speedup (proportional to the phononic local Hilbert space dimension) and allows to systematically converge all observables to very high accuracy in an automated fashion.