Time evolution methods for matrix-product states

ORAL

Abstract

Matrix-product states (MPS) have become the de facto standard for the investigation of one-dimensional quantum many body systems, also out-of-equilibrium.
Various approaches have been introduced for computing the time evolution of MPS, e.g., a time-dependent variational principle (TDVP) for MPS as well as matrix product operator (MPOs) representations of the time evolution operator.
In this talk I review important developments and compare four commonly used methods applied to five representative examples, including systems with long-ranged interactions or in 2D.
These results give insights to the state-of-the-art treatment of MPS out-of-equilibrium and a guideline for which method to choose for a problem at hand.

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Presenters

  • Sebastian Paeckel

    Georg-August-Universität Göttingen, Institut für Theoretische Physik, University of Gottingen

Authors

  • Sebastian Paeckel

    Georg-August-Universität Göttingen, Institut für Theoretische Physik, University of Gottingen

  • Andreas Swoboda

    München, Ludwig-Maximilians-Universität

  • Thomas Koehler

    Georg-August-Universität Göttingen, Institut für Theoretische Physik, University of Gottingen

  • Salvatore Manmana

    Institute for Theoretical Physics, University of Göttingen, Georg-August-Universität Göttingen, Institut für Theoretische Physik, University of Gottingen

  • Ulrich Joseph Schollwoeck

    Department of Physics, Ludwig-Maximilians-Universität München (LMU), Arnold Sommerfeld Center, Ludwig Maximilians University, München, Ludwig-Maximilians-Universität

  • Claudius Hubig

    Max-Planck-Institut für Quantenoptik, Arnold Sommerfeld Center, Ludwig Maximilians University, Garching, Max-Planck-Institut für Quantenoptik