Fidelity in Quasi-1D Systems as a Probe for Anderson Localization

• Authors: J. Bodyfelt , M. Zheng , T. Kottos , U. Kuhl , H. Stöckmann
• Languages of publication: EN

Abstracts

EN

We analyze the echo dynamics in quasi-one-dimensional random media to investigate how the transition from localization to delocalization is encoded in its temporal decay properties. Our analysis extends from the standard perturbative regime corresponding to small perturbations (with respect to the mean level spacing) in the echo dynamics, out to the Wigner decay regime. On the theoretical side, our results rely on a banded random matrix modeling, and show in the localized regime under small perturbations a novel decay of the fidelity (Loschmidt echo), differing from the typical Gaussian decay seen within both diffusive and chaotic systems. For larger perturbation strengths, typical Wigner exponential decays are observed. Scattering echo measurements are performed experimentally within a quasi-1D microwave cavity randomly populated with point-like scatterers. Agreements are observed between experiments, numerics, and theoretical predictions.

Keywords

EN

42.25.Dd; 72.15.Rn; 03.65.Nk; 03.65.Yz

Discipline

• 03.65.Yz: Decoherence; open systems; quantum statistical methods(see also 03.67.Pp in quantum information; for decoherence in Bose-Einstein condensates, see 03.75.Gg)
• 42.25.Dd: Wave propagation in random media
• 03.65.Nk: Scattering theory
• 72.15.Rn: Localization effects (Anderson or weak localization)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 5
• Pages: 756-764

Dates

published

2009-11

Contributors

author

J. Bodyfelt

• Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA
• MPI for Dynamics and Self-Organization, Bunsenstraße 10, D-37073 Göttingen, Germany

author

M. Zheng

• Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA
• MPI for Dynamics and Self-Organization, Bunsenstraße 10, D-37073 Göttingen, Germany

author

T. Kottos

• Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA

author

U. Kuhl

• Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany

author

H. Stöckmann

• Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany

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Identifiers

DOI

10.12693/APhysPolA.116.756