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Geometric phases for mixed states of the Kitaev chain
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 4
2016 (English)In: Philosophical Transactions. Series A: Mathematical, physical, and engineering science, ISSN 1364-503X, E-ISSN 1471-2962, Vol. 374, no 2068, 20150231Article in journal (Refereed) Published
Abstract [en]

The Berry phase has found applications in building topological order parameters for certain condensed matter systems. The question whether some geometric phase for mixed states can serve the same purpose has been raised, and proposals are on the table. We analyse the intricate behaviour of Uhlmann's geometric phase in the Kitaev chain at finite temperature, and then argue that it captures quite different physics from that intended. We also analyse the behaviour of a geometric phase introduced in the context of interferometry. For the Kitaev chain, this phase closely mirrors that of the Berry phase, and we argue that it merits further investigation.

Place, publisher, year, edition, pages
2016. Vol. 374, no 2068, 20150231
Keyword [en]
Uhlmann phase, interferometric phase, Kitaev chain
National Category
Other Natural Sciences
Identifiers
URN: urn:nbn:se:su:diva-132062DOI: 10.1098/rsta.2015.0231ISI: 000376159700001OAI: oai:DiVA.org:su-132062DiVA: diva2:948245
Available from: 2016-07-10 Created: 2016-07-06 Last updated: 2016-07-10Bibliographically approved

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Andersson, OleBengtsson, Ingemar
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