Decay of the Loschmidt echo in a time-dependent environment

Fernando M. Cucchietti, Caio H. Lewenkopf, Horacio M. Pastawski

We study the decay rate of the Loschmidt echo or fidelity in a chaotic system under a time-dependent perturbation $V(q,t)$ with typical strength $\hslash /{\tau }_V$. The perturbation rep…