Some aspects of radiation of perturbed classical and quantum discrete breathers

Andrey Gorbach

Max Planck Institute for the Physics of Complex Systems, Nothnitzer Str. 38, D-01187, Dresden, Germany

We show that the linearized phase space flow around a discrete breather solution is not capable of generating persistent energy flow away from the breather even in the case of instabilities of extended states. This holds both for the classical and quantized description of the flow. The main reason for that is the parametric driving the breather provides to the flow. Corresponding scaling arguments are derived for both classical and quantum cases. Numerical simulations of the classical flow support our findings.