Universität zu Köln

Hermanns, M. and Trebst, S. (2014). Renyi entropies for classical string-net models. Phys. Rev. B, 89 (20). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

Full text not available from this repository.

Abstract

In quantum mechanics, string-net condensed states-a family of prototypical states exhibiting nontrivial topological order-can be classified via their long-range entanglement properties, in particular, topological corrections to the prevalent area law of the entanglement entropy. Here we consider classical analogs of such string-net models whose partition function is given by an equal-weight superposition of classical string-net configurations. Our analysis of the Shannon and Renyi entropies for a bipartition of a given system reveals that the prevalent volume law for these classical entropies is augmented by subleading topological corrections that are intimately linked to the anyonic theories underlying the construction of the classical models. We determine the universal values of these topological corrections for a number of underlying anyonic theories including SU(2)(k), SU(N)(1), and SU(N)(2) theories.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hermanns, M. UNSPECIFIED UNSPECIFIED UNSPECIFIED Trebst, S. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-438400
DOI:	10.1103/PhysRevB.89.205107
Journal or Publication Title:	Phys. Rev. B
Volume:	89
Number:	20
Date:	2014
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/43840