Turbulence management by spatiotemporal non-Hermitian modulation

Abstract

We introduce a new method to affect the energy cascade through wavevectors accountable for the turbulence. By the introduction of a spatiotemporal non-Hermitian potential we have been able to tilt or promote the energy cascade to reduce or increase turbulence in the universal Complez Ginzburg Landau equation. This is possible thanks to the asymmetric properties of these type of potentials. We show that the most efficient management of the turbulence happens for a phase shift between the real and imaginary part of the modulation different from the one arising from a conventional PT-symmetric theory for transverse potentials. We have been able to physically and analiticaly understand this difference.