Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 25, Issue 40, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-8984/25/40/404214
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Funding
- National Science Foundation [NSF PHY11-25915, DMR 10-06608]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1311781] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1006608] Funding Source: National Science Foundation
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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 Z(2) 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.
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