Journal article
Exploring phase space localization of chaotic eigenstates via parametric variation
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.63(1 Pt 2), pp.016208-016208
01/2001
Handle:
https://hdl.handle.net/2376/117659
PMID: 11304336
Abstract
In a previous paper [Phys. Rev. Lett. 77, 4158 (1996)], a new correlation measure was introduced that sensitively probes phase space localization properties of eigenstates. It is based on a system's response to varying an external parameter. The measure correlates level velocities with overlap intensities between the eigenstates and some localized state of interest. Random matrix theory predicts the absence of such correlations in chaotic systems whereas in the stadium billiard, a paradigm of chaos, strong correlations were observed. Here, we develop further the theoretical basis of that work, extend the stadium results to the full phase space, study the Planck's over 2pi dependence, and demonstrate the agreement between this measure and a semiclassical theory based on homoclinic orbits.
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Details
- Title
- Exploring phase space localization of chaotic eigenstates via parametric variation
- Creators
- N R Cerruti - Department of Physics, Washington State University, Pullman, WA 99164-2814, USAA LakshminarayanJ H LefebvreS Tomsovic
- Publication Details
- Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.63(1 Pt 2), pp.016208-016208
- Academic Unit
- Physics and Astronomy, Department of
- Publisher
- United States
- Identifiers
- 99900548291301842
- Language
- English
- Resource Type
- Journal article