Dynamically induced topology and quantum monodromies in a proximity quenched gapless wire

D. Dahan, E. Grosfeld, and B. Seradjeh
Phys. Rev. B 102, 125142 – Published 24 September 2020

Abstract

We study the quench dynamics of a topologically trivial one-dimensional gapless wire following its sudden coupling to topological bound states. We find that as the bound states leak into and propagate through the wire, signatures of their topological nature survive and remain measurable over a long lifetime. Thus, the quench dynamically induces topological properties in the gapless wire. Specifically, we study a gapless wire coupled to fractionally charged solitons or Majorana fermions, and we characterize the dynamically induced topology in the wire, in the presence of coupling to the bath, disorder, and short-range interactions, by analytical and numerical calculations of the dynamics of fractional charge, fermion parity, entanglement entropy, and fractional exchange statistics. In a dual effective description, this phenomenon is described by correlators of boundary changing operators, which, remarkably, generate topologically nontrivial monodromies in the gapless wire, both for Abelian and non-Abelian quantum statistics of the bound states.

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  • Received 16 August 2019
  • Accepted 28 August 2020

DOI:https://doi.org/10.1103/PhysRevB.102.125142

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

D. Dahan1, E. Grosfeld1, and B. Seradjeh2,3

  • 1Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 8410501, Israel
  • 2Department of Physics, Indiana University, Bloomington, Indiana 47405, USA
  • 3Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, Dresden 01187, Germany

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Issue

Vol. 102, Iss. 12 — 15 September 2020

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