The relation between Feynman cycles and off-diagonal long-range order

Details The relation between Feynman cycles and off-diagonal long-range order The relation between Feynman cycles and off-diagonal long-range order

2006-03-31

arxiv.org/abs/cond-mat/0604005v3

Phys. Rev. Lett. 97, 170601 (2006)

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

10.1103/PhysRevLett.97.170601

The usual order parameter for the 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.

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