On the Mathematical Theory of Superfluidity

Details On the Mathematical Theory of Superfluidity On the Mathematical Theory of Superfluidity

2008-10-27

arxiv.org/abs/0810.4874v1

Physics

Mathematical Physics

To be published in J. Phys. A

Scientific paper

10.1088/1751-8113/42/1/015207

We provide a general operator algebraic formulation of superfluidity in Bose systems, with the aim of investigating the relationships of this phenomenon both to off-diagonal long range order (ODLRO) and to a mathematically precise version of Landau's picture of elementary excitations. Our principal results are that ODLRO leads both to rotational superfluidity and to Goldstone excitations, while the neo-Landau picture accounts for the translational superfluidity of flow along a pipe. The latter picture is realised by the Lieb-Liniger-Girardeau model. Open problems are briefly discussed.

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