On the exactly solvable pairing models for bosons

Abstract

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.

19 pages

References in corpus (7)

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Cited by in corpus (2)

• Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
• Bipartite representations and many-body entanglement of pure states of $N$ indistinguishable particles