Ground state of a mixture of two bosonic Calogero-Sutherland gases with strong odd-wave interspecies attraction

TL;DR

This paper analytically studies the ground state of two strongly interacting bosonic Calogero-Sutherland gases with odd-wave interspecies attraction, revealing conditions for condensation and phase behavior.

Contribution

It introduces an exact ground state solution for a two-component Calogero-Sutherland model with strong odd-wave interspecies attraction using Bose-Bose duality mapping.

Findings

Analytical ground state wave function derived.

Conditions for particle and pair condensation identified.

Zero-temperature phase diagram constructed.

Abstract

A model of two Calogero-Sutherland Bose gases A and B with strong odd-wave AB attractions induced by a p-wave AB Feshbach resonance is studied. The ground state wave function is found analytically by a Bose-Bose duality mapping, which permits one to accurately determine static physical properties by a Monte Carlo method. The condensation of particles or particle pairs (molecules) is tested by analyzing the presence of the off-diagonal long-range order in one- or two-body density matrices. The p-wave symmetry of AB interaction makes possible quasi-condensation of type A particles at the Fermi momentum of the B component. The zero-temperature phase diagram is drawn in terms of densities and interaction strengths.