Semilinear Response
Abstract
We discuss the response of a quantum system to a time-dependent perturbation with spectrum \Phi(\omega). This is characterised by a rate constant D describing the diffusion of occupation probability between levels. We calculate the transition rates by first-order perturbation theory, so that multiplying \Phi(\omega) by a constant \lambda changes the diffusion constant to \lambda D. However, we discuss circumstances where this linearity does notextend to the function space of intensities, so that if intensities \Phi_i(\omega) yield diffusion constants D_i, then the intensity \sum_i \Phi_i(\omega) does not result in a diffusion constant \sum_i D_i. This `semilinear' response can occur in the absorption of radiation by small metal particles.
Cite
@article{arxiv.cond-mat/0512070,
title = {Semilinear Response},
author = {Michael Wilkinson and Bernhard Mehlig and Doron Cohen},
journal= {arXiv preprint arXiv:cond-mat/0512070},
year = {2007}
}
Comments
7 pages, 1 figure