From localization to anomalous diffusion in the dynamics of coupled kicked rotors

Understand

We study the effect of many-body quantum interference on the dynamics of coupled periodically kicked systems whose classical dynamics is chaotic and shows an unbounded energy increase.

• We specifically focus on a $N$ coupled kicked rotors model: we find that the interplay of quantumness and interactions dramatically modifies the system dynamics inducing a transition between energy saturation and unbounded energy increase.
• We discuss this phenomenon both numerically and analytically, through a mapping onto a $N$-dimensional Anderson model.
• The thermodynamic limit $N\to\infty$, in particular, always shows unbounded energy growth.