Semilinear Response
| dc.creator | Wilkinson, Michael | |
| dc.creator | Mehlig, Bernhard | |
| dc.creator | Cohen, Doron | |
| dc.date | 2005-12-04 | |
| dc.date | 2006-09-18 | |
| dc.date.accessioned | 2026-07-07T06:53:07Z | |
| dc.date.available | 2026-07-07T06:53:07Z | |
| dc.description | We discuss the response of a quantum system to a time-dependent perturbation with spectrum Φ(ω). 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 Φ(ω) by a constant λchanges the diffusion constant to λD. However, we discuss circumstances where this linearity does notextend to the function space of intensities, so that if intensities Φ_i(ω) yield diffusion constants D_i, then the intensity \sum_i Φ_i(ω) 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. | |
| dc.description | 7 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0512070 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0512070 | |
| dc.identifier | Europhysics Letters 75, 709 (2006) | |
| dc.identifier | doi:10.1209/epl/i2006-10182-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105475 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Semilinear Response | |
| dc.type | text |