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On geometric phases for quantum trajectories
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry. (Quantum information theory)
2006 (English)In: Acta Physica Hungarica A: Heavy Ion Physics, ISSN 1219-7580, E-ISSN 1588-2675, Vol. 26, 195-201 p.Article in journal (Refereed) Published
Abstract [en]

A sequence of completely positive maps can be decomposed into quantum trajectories. The geometric phase or holonomy of such a trajectory is delineated. For nonpure initial states, it is shown that well-defined holonomies can be assigned by using Uhlmann's concept of parallel transport along the individual trajectories. We put forward an experimental realization of the geometric phase for a quantum trajectory in interferometry. We argue that the average over the phase factors for all quantum trajectories that build up a given open system evolution, fails to reflect the geometry of the open system evolution itself.

Place, publisher, year, edition, pages
2006. Vol. 26, 195-201 p.
Keyword [en]
Geometric phase, open systems, quantum trajectories
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:uu:diva-19894DOI: 10.1556/APH.26.2006.1-2.23OAI: oai:DiVA.org:uu-19894DiVA: diva2:47666
Funder
Swedish Research Council
Available from: 2006-12-18 Created: 2006-12-18 Last updated: 2017-12-08

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Sjöqvist, Erik

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