Kibble-Zurek scaling and string-net coarsening in topologically ordered systems

Anushya Chandran, F. J. Burnell, Vedika Khemani, Shivaji Lal Sondhi

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18 Scopus citations

Abstract

We consider the non-equilibrium dynamics of topologically ordered systems driven across a continuous phase transition into proximate phases with no, or reduced, topological order. This dynamics exhibits scaling in the spirit of Kibble and Zurek but now without the presence of symmetry breaking and a local order parameter. The late stages of the process are seen to exhibit a slow, coarsening dynamics for the string-net that underlies the physics of the topological phase, a potentially interesting signature of topological order. We illustrate these phenomena in the context of particular phase transitions out of the Abelian Z2 topologically ordered phase of the toric code/Z 2 gauge theory, and the non-Abelian SU(2)k ordered phases of the relevant Levin-Wen models.

Original languageEnglish (US)
Article number404214
JournalJournal of Physics Condensed Matter
Volume25
Issue number40
DOIs
StatePublished - Oct 9 2013

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics

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