Thermal dissipation in quantum turbulence

TL;DR

This study numerically investigates how thermal dissipation affects quantum turbulence, revealing temperature-dependent dissipation scales and deriving mutual friction coefficients relevant for vortex dynamics in Bose-Einstein condensates.

Contribution

It provides a detailed numerical analysis of thermal dissipation mechanisms and introduces temperature-dependent mutual friction coefficients for quantum turbulence.

Findings

Dissipation is ineffective at scales larger than vortex cores at low temperatures.

Increasing temperature enables dissipation at larger scales, influencing vortex behavior.

Derived mutual friction coefficients as functions of temperature for dilute Bose-Einstein condensates.

Abstract

The microscopic mechanism of thermal dissipation in quantum turbulence has been numerically studied by solving the coupled system involving the Gross-Pitaevskii equation and the Bogoliubov-de Gennes equation. At low temperatures, the obtained dissipation does not work at scales greater than the vortex core size. However, as the temperature increases, dissipation works at large scales and it affects the vortex dynamics. We successfully obtained the mutual friction coefficients of the vortex dynamics as functions of temperature, which can be applied to the vortex dynamics in dilute Bose-Einstein condensates.