On the exactly solvable pairing models for bosons

TL;DR

This paper introduces a new exactly solvable bosonic pairing model with attractive interactions, revealing a phase transition from superfluid to incompressible phases with distinct excitation spectra.

Contribution

It presents a novel exactly solvable model for bosons with attractive pairing, analyzed via electrostatic analogy, and explores phase transitions in the thermodynamic limit.

Findings

Identifies a phase transition from superfluid to incompressible phase.

Derives the excitation spectrum in different coupling regimes.

Provides an exact solution for the model in the thermodynamic limit.

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.