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A symmetry approach to geometric phase for quantum ensembles
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 2
2015 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 48, no 48, 485302Article in journal (Refereed) Published
Abstract [en]

We use tools from the theory of dynamical systems with symmetries to stratify Uhlmann's standard purification bundle and derive a new connection for mixed quantum states. For unitarily evolving systems, this connection gives rise to the 'interferometric' geometric phase of Sjqvist et al (2000 Phys. Rev. Lett. 85 2845-9), and for more generally evolving open systems it gives rise to the generalization of the interferometric geometric phase due to Tong et al (2004 Phys. Rev. Lett. 93 080405).

Place, publisher, year, edition, pages
2015. Vol. 48, no 48, 485302
Keyword [en]
geometric phase, mixed quantum states, open quantum systems
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:su:diva-125654DOI: 10.1088/1751-8113/48/48/485302ISI: 000365115000013OAI: oai:DiVA.org:su-125654DiVA: diva2:895121
Available from: 2016-01-18 Created: 2016-01-15 Last updated: 2016-01-18Bibliographically approved

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Andersson, OleHeydari, Hoshang
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