On-manifold localization in open quantum maps

A quantized chaotic map exhibiting localization of wave function intensity is opened. We investigate how such patterns as scars in the Husimi distributions are influenced by the losses through a number of numerical experiments. We find the scars to relocate on the stable or unstable manifolds depend...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 86; no. 6 Pt 2; p. 066213
Main Authors Lippolis, Domenico, Ryu, Jung-Wan, Lee, Soo-Young, Kim, Sang Wook
Format Journal Article
LanguageEnglish
Published United States 21.12.2012
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Summary:A quantized chaotic map exhibiting localization of wave function intensity is opened. We investigate how such patterns as scars in the Husimi distributions are influenced by the losses through a number of numerical experiments. We find the scars to relocate on the stable or unstable manifolds depending on the position of the opening, and provide a classical argument to explain the observations. For asymmetrically introduced openings mode interaction contributes to determine the localization patterns. We finally show examples of similar localization in a simulated dielectric microcavity.
ISSN:1550-2376
DOI:10.1103/physreve.86.066213