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Hawking radiation due to a quench on the surface of a topological superconductor

ORAL

Abstract

On the surface of class DIII topological superconductors, Dirac quasiparticles possess a velocity that is related to the gap of the superconductor. A spatially inhomogeneous gap generates a spatially nonuniform metric on the surface. We investigate the effects of this analog curved spacetime, particularly the result of a quench on a strip that forces particles in a region to have zero velocity. This quench causes the instantaneous creation of an analog black hole ("dark spot"), that results in a heat current on the surface. At late times, we observe the signatures of Hawking radiation with a temperature proportional to the size of the dark spot. An instantaneously created dark spot also means that the geodesics can be obtained exactly for all time. The fate of the surface wavefunctions post the quench is also discussed.

Presenters

  • Shriya Hirve

    Louisiana State University

Authors

  • Shriya Hirve

    Louisiana State University

  • Arthur Niwazuki

    Rice University

  • Andrew A Allocca

    Louisiana State University

  • Matthew S Foster

    Rice University

  • Justin H Wilson

    Louisiana State University