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Measuring Pancharatnam's relative phase for SO(3) evolutions using spin polarimetry
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry.
2003 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 68, no 4, 042109- p.Article in journal (Refereed) Published
Abstract [en]

In polarimetry, a superposition of internal quantal states is exposed to a single Hamiltonian and information about the evolution of the quantal states is inferred from projection measurements on the final superposition. In this framework, we here extend the polarimetric test of Pancharatnam's relative phase for spin-1/2 proposed by Wagh and Rakhecha [Phys. Lett. A 197, 112 (1995)] to spin j>1/2 undergoing noncyclic SO(3) evolution. We demonstrate that the output intensity for higher spin values is a polynomial function of the corresponding spin-1/2 intensity. We further propose a general method to extract the noncyclic SO(3) phase and visibility by rigid translation of two \pi/2 spin flippers. Polarimetry on higher spin states may in practice be done with spin polarized atomic beams.

Place, publisher, year, edition, pages
2003. Vol. 68, no 4, 042109- p.
Keyword [en]
Quantum phase, Pancharatnam phase, polarimetry, SO(3)
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:uu:diva-45922DOI: 10.1103/PhysRevA.68.042109OAI: oai:DiVA.org:uu-45922DiVA: diva2:73830
Available from: 2007-02-06 Created: 2007-02-06 Last updated: 2017-12-05

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Larsson, PeterSjöqvist, Erik

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