# Dual cascade and dissipation mechanisms in helical quantum turbulence

## TL;DR

This paper investigates the decay of helical quantum turbulence through high-resolution simulations, revealing dual energy and helicity transfer to small scales and dissipation via Kelvin waves and phonons, with similarities to classical turbulence.

## Contribution

It provides new insights into the dissipation mechanisms and structural features of helical quantum turbulence, highlighting parallels with classical turbulence at high Reynolds numbers.

## Key findings

- Dual transfer of energy and helicity to small scales.
- Dissipation occurs via Kelvin waves and phonons.
- Flow exhibits large-scale polarized structures and patches of quiescence.

## Abstract

While in classical turbulence helicity depletes nonlinearity and can alter the evolution of turbulent flows, in quantum turbulence its role is not fully understood. We present numerical simulations of the free decay of a helical quantum turbulent flow using the Gross-Pitaevskii equation at high spatial resolution. The evolution has remarkable similarities with classical flows, which go as far as displaying a dual transfer of incompressible kinetic energy and helicity to small scales. Spatio-temporal analysis indicates that both quantities are dissipated at small scales through non-linear excitation of Kelvin waves and the subsequent emission of phonons. At the onset of the decay, the resulting turbulent flow displays polarized large scale structures and unpolarized patches of quiescense reminiscent of those observed in simulations of classical turbulence at very large Reynolds numbers.