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Comment on `Detecting non-Abelian geometric phases with three-level Λ systems'
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Chemistry - Ångström, Theoretical Chemistry. (Quantum information theory)
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Chemistry - Ångström, Theoretical Chemistry. (Quantum information theory)
2013 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 87, no 3, 036101- p.Article in journal, Editorial material (Refereed) Published
Abstract [en]

In their recent paper, Yan-Xiong Du {\it et al.} [Phys. Rev. A {\bf 84}, 034103 (2011)] claim to have found a non-Abelian adiabatic geometric phase associated with the energy eigenstates of a large-detuned $\Lambda$ three-level system. They further propose a test to detect the non-commutative feature of this geometric phase. On the contrary, we show that the non-Abelian geometric phase picked up by the energy eigenstates of a $\Lambda$ system is trivial in the adiabatic approximation, while, in the exact treatment of the time evolution, this phase is very small and cannot be separated from the non-Abelian dynamical phase acquired along the path in parameter space.

Place, publisher, year, edition, pages
2013. Vol. 87, no 3, 036101- p.
Keyword [en]
Cold atoms, geometric phase, quantum computation
National Category
Atom and Molecular Physics and Optics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-186918DOI: 10.1103/PhysRevA.87.036101ISI: 000316931600013OAI: oai:DiVA.org:uu-186918DiVA: diva2:573233
Funder
Swedish Research Council
Note

Additional address (ES): Centre for Quatnum Technologies, NUS, Singapore

Available from: 2012-11-30 Created: 2012-11-30 Last updated: 2017-12-07

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Ericsson, MarieSjöqvist, Erik

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