Butterfly velocity and chaos suppression in de Sitter space

Abstract

We study the holographic CFT in the de Sitter static patch at a finite temperature \(T\) and chemical potential. We find that the butterfly velocity \(v_B\) in such a field theory degenerates for all values of the Hubble parameter \(H\) and \(T\). We interpret this as a chaos disruption caused by the interplay between the expansion of chaotic correlations constrained by \(v_B\) and effects caused by the de Sitter curvature. The chemical potential restores healthy butterfly velocity for some range of temperatures. Also, we provide some analogy of this chaos suppression with the Schwinger effect in the de Sitter space and black hole formation from shock wave collisions.