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.

*This work was supported by the National Science Foundation Graduate Research Fellowship under Grant No. DGE‐1144469 and by the Caltech IQIM, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore

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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