Derivation of 1/f noise from resonances

摘要

We study non-interacting particles in a small subsystem which is weakly coupled to a reservoir. We show that this class of systems can be mapped into an extended form of the Friedrichs model. We derive from the Hamiltonian dynamics that the number fluctuation in a subsystem is 1/f or 1/f~β noise. We show that this effect comes from the sum of resonances.