Paired state in an integrable spin-1 boson model

TL;DR

This paper introduces an exactly solvable one-dimensional spin-1 boson model, revealing a quantum liquid of spin singlet pairs and predicting pair condensation and coexistence with Bose-Einstein condensation in three dimensions.

Contribution

It presents an exactly solvable model for spin-1 bosons and explores its low-energy physics, including pair formation and condensation phenomena.

Findings

Low energy physics described by a quantum liquid of spin singlet pairs

Prediction of singlet pair condensation in three-dimensional systems

Coexistence of pair condensation with Bose-Einstein condensation

Abstract

An exactly solvable model describing the low density limit of the spin-1 bosons in a one-dimensional optical lattice is proposed. The exact Bethe ansatz solution shows that the low energy physics of this system is described by a quantum liquid of spin singlet bound pairs. Motivated by the exact results, a mean-field approach to the corresponding three-dimensional system is carried out. Condensation of singlet pairs and coexistence with ordinary Bose-Einstein condensation are predicted.