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Geometric phases for mixed states of the Kitaev chain
Dept. of Physics, Stockholm University, Sweden.
Dept. of Physics, Stockholm University, Sweden.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Physical and Analytical Chemistry, Quantum Chemistry. Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy. (Quantum information theory)
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy. Uppsala universitet. (Quantum information theory)
2016 (English)In: Philosophical Transactions. Series A: Mathematical, physical, and engineering science, ISSN 1364-503X, E-ISSN 1471-2962, Vol. 374, no 2069, 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 analyze 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 analyze 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 2069, 20150231
Keyword [en]
Fermions, geometric phase, thermal states
National Category
Condensed Matter Physics Other Physics Topics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-264295DOI: 10.1098/rsta.2015.0231ISI: 000376159700001OAI: oai:DiVA.org:uu-264295DiVA: diva2:859862
Funder
Swedish Research Council, D0413201
Available from: 2015-10-08 Created: 2015-10-08 Last updated: 2017-12-01

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Publisher's full textarxiv:1507.00766

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Ericsson, MarieSjöqvist, Erik

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