Numerical time evolution of ETH spin chains by means of matrix product density operators

ORAL

Abstract

We introduce a method for approximating density operators of 1D systems that, when combined with a standard framework for time evolution (TEBD), makes possible simulation of the dynamics of strongly thermalizing systems to arbitrary times. We demonstrate that the method works on both near-equilibrium initial states (Gibbs states with spatially varying temperatures) and far-from-equilibrium initial states, including quenches across phase transitions and pure states.

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Authors

  • Christopher White

    Institute for Quantum Information and Matter, Caltech

  • Michael Zaletel

    Station Q, Microsoft Research, Santa Barbara, California, 93106-6105, USA, Station Q, Microsoft Research

  • Roger Mong

    University of Pittsburgh, Univ of Pittsburgh, Department of Physics and Astronomy, University of Pittsburgh

  • Gil Refael

    Caltech, Institute for Quantum Information and Matter, Caltech, Pasadena, California 91125, USA, Institute for Quantum Information and Matter, Caltech