| Issue |
Europhys. Lett.
Volume 75, Number 5, September 2006
|
|
|---|---|---|
| Page(s) | 709 - 715 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2006-10182-9 | |
| Published online | 04 August 2006 | |
Semilinear response
1
Faculty of Mathematics and Computing, The Open University Walton Hall, Milton Keynes, MK7 6AA, UK
2
Department of Physics, Göteborg University - 41296 Gothenburg, Sweden
3
Department of Physics, Ben-Gurion University - Beer-Sheva, 84105, Israel
Received:
25
April
2006
Accepted:
17
July
2006
We discuss the response of a quantum system to a time-dependent
perturbation with spectrum 
. 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
by a constant λ changes the diffusion
constant to 
. However, we discuss circumstances where
this linearity does not extend to the function space of
intensities, so that if intensities 
yield
diffusion constants Di, then the intensity 
does not result in a diffusion constant 
. This “semilinear” response can occur in the absorption of
radiation by small metal particles.
PACS: 05.60.-k – Transport processes / 73.23.-b – Electronic transport in mesoscopic systems / 78.67.-n – Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures
© EDP Sciences, 2006
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