Manifestations of quantum holonomy in interferometry
2006 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 74, no 6, 062101- p.Article in journal (Refereed) Published
Abelian and non-Abelian geometric phases, known as quantum holonomies, have attracted considerable attention in the past. Here, we show that it is possible to associate nonequivalent holonomies to discrete sequences of subspaces in a Hilbert space. We consider two such holonomies that arise naturally in interferometer settings. For sequences approximating smooth paths in the base (Grassmann) manifold, these holonomies both approach the standard holonomy. In the one-dimensional case the two types of holonomies are Abelian and coincide with Pancharatnam's geometric phase factor. The theory is illustrated with a model example of projective measurements involving angular momentum coherent states.
Place, publisher, year, edition, pages
2006. Vol. 74, no 6, 062101- p.
Quantum holonomy, geometric phase, quantum interferometry, spin-coherent states
Research subject Physics
IdentifiersURN: urn:nbn:se:uu:diva-96148DOI: 10.1103/PhysRevA.74.062101ISI: 000243166700014OAI: oai:DiVA.org:uu-96148DiVA: diva2:170625