On the exactly solvable pairing models for bosons

2004/05/31 by An. A. Ovchinnikov, An. A. OVCHINNIKOV · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1088/1742-5468/2004/07/p07004

published as J.Stat.Mech.0407:P07004,2004 · 19 pages

arxiv created 2004/06/25 · openalex publication_date 2004/07/07 · arxiv updated 2011/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We propose a new exactly solvable pairing model for bosons corresponding to the attractive pairing interaction. Using the electrostatic analogy, the solution of this model in the thermodynamic limit is found. The transition from the superfluid phase, with a Bose condensate and a Bogoliubov-type spectrum of excitations in the weak coupling regime, to the incompressible phase, with a gap in the excitation spectrum in the strong coupling regime, is observed.

Citations

• Theory of Group Representations and Applications
• Theory of Superconductivity

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