Classical and quantum radiation of perturbed discrete breathers

TL;DR

This paper demonstrates that both classical and quantum discrete breathers do not produce sustained energy flow due to their parametric driving, supported by theoretical analysis and numerical simulations.

Contribution

It reveals that linearized flow around discrete breathers cannot generate persistent energy flow, highlighting a fundamental limitation in classical and quantum descriptions.

Findings

Linearized flow cannot sustain energy flow around breathers

Parametric driving inhibits persistent energy transfer

Numerical simulations confirm theoretical predictions

Abstract

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.