Phase diagram and binding energy of interacting Bose gases

TL;DR

This paper derives a medium-dependent bound state condition and critical line in the phase diagram of an interacting Bose gas, highlighting the influence of a Bose condensate and identifying a thermal minimum of the critical scattering length.

Contribution

It introduces a new medium-dependent bound state condition for Bose gases and analyzes the impact of Bose condensates on the phase diagram.

Findings

Critical line in phase diagram derived from medium-dependent scattering length.

Identification of a thermal minimum of the critical scattering length.

Analysis of Bose condensate influence on bound states.

Abstract

From the many-body T-matrix the condition for a medium-dependent bound state and its binding energy is derived for a homogeneous interacting Bose gas. This condition provides the critical line in the phase diagram in terms of the medium-dependent scattering length. Separating the Bose pole from the distribution function the influence of a Bose condensate is discussed and a thermal minimum of the critical scattering length is found.