Probing Complex Dynamics via Loschmidt Echoes
Document
This dissertation investigates echo dynamics (Loschmidt Echo) due to small perturbations, in the framework of disordered media where Anderson localization is the dominant mechanism dictating the transport. Various temporal decay laws of the Loschmidt Echo (LE) were identified and shown to accurately probe the diffusive, localized, or even critical nature of the transport. Our theory, based on Random Matrix Theory modeling, agrees perfectly with scattering echo experiments (that we have recently proposed and performed) on a quasi-one-dimensional microwave cavity filled with randomly distributed scatterers.
Item Description
Name(s)
Creator: Bodyfelt, Joshua David
Thesis advisor: Kottos, T. (Tsampikos)
Date
May 01, 2009
Extent
228 pages
Language
eng
Genre
Physical Form
electronic
Degree
Discipline
Rights and Use
In Copyright – Non-Commercial Use Permitted
Digital Collection
PID
ir:2220