2008/10/27 by Geoffrey L. Sewell, Walter F. Wreszinski
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Diagonal #Goldstone #Mathematics #Physics #Physics of Superconductivity and Magnetism #Principal (computer security) #Quantum mechanics #Quantum, superfluid, helium dynamics #Superfluidity #Theoretical physics #cond-mat.stat-mech #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/42/1/015207
To be published in J. Phys. A
arxiv created 2008/10/27 · openalex publication_date 2008/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We provide a general operator algebraic formulation of the theory 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. Key Words. Operator algebraic quantum mechanics, metastability of superflow, off- diagonal long range order, spontaneous symmetry breakdown, elementary excitations, modified Landau picture. PACS Classification 67.57.De, 02.30.Tb, 03.65.Db, 05.30.-d