The second critical point for the Perfect Bose gas in quasi-one-dimensional traps

TL;DR

This paper proposes a new quasi-one-dimensional trap model for the Perfect Bose gas, predicting a second phase transition at a temperature below the critical temperature, which could influence coherence properties.

Contribution

It introduces a novel physical model predicting a second critical temperature and associated changes in coherence fractions in Bose gases within quasi-one-dimensional traps.

Findings

Prediction of a second critical temperature Tm < Tc

Change in condensed coherence lengths at Tm

Potential experimental implications for Bose gas behavior

Abstract

We present a new model of quasi-one-dimensional trap with some unknown physical predictions about a second transition, including about a change in fractions of condensed coherence lengths due to the existence of a second critical temperature Tm < Tc. If this physical model is acceptable, we want to challenge experimental physicists in this regard.