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Title: Relation between Feynman Cycles and Off-Diagonal Long-Range Order

Journal Article · · Physical Review Letters
 [1]
  1. Department of Mathematics, University of Arizona, Tucson, Arizona 85721 (United States)

The usual order parameter for Bose-Einstein condensation involves the off-diagonal correlation function of Penrose and Onsager, but an alternative is Feynman's notion of infinite cycles. We present a formula that relates both order parameters. We discuss its validity with the help of rigorous results and heuristic arguments. The conclusion is that infinite cycles do not always represent the Bose condensate.

OSTI ID:
20861032
Journal Information:
Physical Review Letters, Vol. 97, Issue 17; Other Information: DOI: 10.1103/PhysRevLett.97.170601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
Country of Publication:
United States
Language:
English

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