Scattering fidelity in elastodynamics

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T. Gorin
Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany

T. H. Seligman
Centro de Ciencias Físicas, Universidad Nacional Autónoma de México, Campus Morelos, C. P. 62251, Cuernavaca, Morelos, Mexico

R. L. Weaver
Theoretical and Applied Mechanics, University of Illinois, 104 South Wright Street, Urbana, Illinois 61801, USA

Received 4 August 2005; published 19 January 2006

Therecent introduction of the concept of scattering fidelity causes usto revisit the experiment by Lobkis and Weaver [Phys. Rev.Lett. 90, 254302 (2003)]. There, the "distortion" of the codaof an acoustic signal is measured under temperature changes. Thisquantity is, in fact, the negative logarithm of scattering fidelity.We reanalyze their experimental data for two samples, and wefind good agreement with random matrix predictions for the standardfidelity. Usually, one may expect such an agreement for chaoticsystems, only. While the first sample may indeed be assumedchaotic, for the second sample, a perfect cuboid, such anagreement is surprising. For the first sample, the random matrixanalysis yields perturbation strengths compatible with semiclassical predictions. For thecuboid, the measured perturbation strengths are by a common factorof (5/3) too large. Apart from that, the experimental curvesfor the distortion are well reproduced.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.015202
DOI:	10.1103/PhysRevE.73.015202
PACS:	05.45.Mt; 43.35.+d; 03.65.Sq 05.45.Mt Semiclassical methods in quantum chaos 43.35.+d Ultrasonics, quantum acoustics, and physical effects of sound 03.65.Sq Semiclassical theories and applications in quantum mechanics YEAR: 2006
KEYWORDS:	chaos, random processes, matrix algebra, elastodynamics, elastic waves

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