Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems (part I)

ORAL

Abstract

We address the hydrodynamics of operator spreading in interacting integrable lattice models. In these models, operators spread through the ballistic propagation of quasiparticles, with an operator front whose velocity is locally set by the fastest quasiparticle velocity. In interacting integrable systems, this velocity depends on the density of the other quasiparticles, so equilibrium density fluctuations cause the front to follow a biased random walk, and therefore to broaden diffusively. Ballistic front propagation and diffusive front broadening are also generically present in non-integrable systems in one dimension; thus, although the mechanisms for operator spreading are distinct in the two cases, these coarse grained measures of the operator front do not distinguish between the two cases. Our results elucidate the microscopic mechanism for diffusive corrections to ballistic transport in interacting integrable models.

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Presenters

  • Romain Vasseur

    Department of Physics, University of Massachusetts, Amherst, University of Massachusetts Amherst

Authors

  • Sarang Gopalakrishnan

    CUNY College of Staten Island, and CUNY Graduate Center, Physics, CUNY College of Staten Island, Physics and Astronomy, CSI and GC, CUNY, CUNY College of Staten Island; The Graduate Center, CUNY, Department of Physics and Astronomy, CUNY College of Staten Island, Physics, CUNY, College of Staten Island, City University of New York, Physics, The Graduate Center, CUNY

  • David Huse

    Physics, Princeton University, Princeton University

  • Vedika Khemani

    Harvard University, Physics, Harvard University

  • Romain Vasseur

    Department of Physics, University of Massachusetts, Amherst, University of Massachusetts Amherst