On the exactly solvable pairing models for bosons

Details On the exactly solvable pairing models for bosons On the exactly solvable pairing models for bosons

2004-05-17

arxiv.org/abs/math-ph/0405047v2

J.Stat.Mech.0407:P07004,2004

Physics

Mathematical Physics

19 pages

Scientific paper

10.1088/1742-5468/2004/07/P07004

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

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