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Geometry along Evolution of Mixed Quantum States
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory. Uppsala universitet. (Quantum information theory)
2019 (English)In: Article in journal, Letter (Other (popular science, discussion, etc.)) Submitted
Abstract [en]

The metric underlying the mixed state geometric phase [Phys. Rev. Lett. {\bf 85}, 2845 (2000)] is delineated. An explicit form for the line element is derived and shown to be related to an averaged energy dispersion in the case of unitary evolution. The line element is measurable in interferometry involving nearby internal states. Explicit geodesics are found in the single qubit case. It is shown how the Bures line element can be obtained by extending our approach to arbitrary decompositions of density operators. The proposed metric is applied to a generic magnetic system in a thermal state.

Place, publisher, year, edition, pages
2019.
Keywords [en]
Quantum geometry, time-energy uncertainty, interferometry
National Category
Other Physics Topics Condensed Matter Physics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-393986OAI: oai:DiVA.org:uu-393986DiVA, id: diva2:1356165
Funder
Swedish Research Council, 2017-03832Available from: 2019-10-01 Created: 2019-10-01 Last updated: 2019-10-01

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arxiv:1909.13306

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