Real-time dynamics of the subdiffusive random-field Heisenberg chain

ORAL

Abstract

We investigate the dynamics of an ergodic random-field Heisenerg chain near the diffusive-subdiffusive transition. Previous work (Znidaric, Scardicchio, and Varma, PRL 117, 040601) has found subdiffusive conductivity in numerical experiments on non-equilibrium steady states. We use the matrix product density operator technique DMT to simulate the real-time evolution of long ($L \gtrsim 256$ sites) spin-1/2 chains; we measure not only global dynamical exponents consistent with the results of Znidaric, Scardicchio, and Varma, but also the spatial variation of these exponents.

*We acknowledge support of the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center supported by the Gordon and Betty Moore Foundation. CDW acknowledges the generous support of the National Science Foundation Graduate Research Fellowship under Grant No. DGE-1144469. SG ack

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Presenters

  • Christopher White

    • Physics, Caltech

Authors

  • Christopher White

    • Physics, Caltech

  • Sarang Gopalakrishnan

    • Department of Engineering Science and Physics, CUNY College of Staten Island
    • CUNY College of Staten Island

  • Gil Refael

    • Institute for Quantum Information and Matter, Caltech
    • Physics, Caltech
    • Caltech
    • California Institute of Technology
    • IQIM, Department of Physics, Caltech