Semilinear Response

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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.
7 pages, 1 figure

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Disordered Systems and Neural Networks, Mesoscale and Nanoscale Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/105475

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0512070
 http://arxiv.org/abs/cond-mat/0512070
 Europhysics Letters 75, 709 (2006)
 doi:10.1209/epl/i2006-10182-9

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arXiv