Absence of charged pion condensation in a magnetic field with parallel rotation

TL;DR

This paper studies the effects of magnetic fields and rotation on charged bosons, showing that Bose-Einstein condensation is suppressed in quasi-one-dimensional systems due to interactions and dimensional constraints.

Contribution

It demonstrates that both non-interacting and interacting charged bosons cannot undergo Bose-Einstein condensation in a magnetic field with rotation because of their quasi-one-dimensional nature.

Findings

Critical temperature of non-interacting bosons vanishes in this setup.

Interacting bosons lack off-diagonal long-range order at any nonzero temperature.

The results align with the Coleman-Mermin-Wagner-Hohenberg theorem.

Abstract

We investigate the critical temperature of a relativistic Bose-Einstein condensate of charged bosons driven by rotation in a parallel magnetic field [Y. Liu and I. Zahed, Phys. Rev. Lett. 120, 032001 (2018)]. For non-interacting bosons, the critical temperature can only be determined for a system with fixed angular momentum. We find that the critical temperature of the non-interacting system vanishes due to the fact that the system is quasi-one-dimensional, indicating that non-interacting bosons cannot undergo Bose-Einstein condensation. For interacting bosons, we investigate a system with quartic self-interaction. We show that the order parameter vanishes and the off-diagonal long-range order is absent at any nonzero temperature because of the quasi-one-dimensional feature, in accordance with the Coleman-Mermin-Wagner-Hohenberg theorem.