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Quantum generalization of the quasiclassical approach to chaotic dynamics | | T. Micklitz
; Alexander Altland
; | | Date: |
20 Jan 2009 | | Abstract: | We discuss a quantum generalization of the quasiclassical Eilenberger
equation for chaotic systems. Within the generalized framework, a conspiracy of
quantum uncertainty and hyperbolic dynamics leads to a picture of quantum
interference, conceptually similar to that of recent extit{semi}classical
approaches based on the Gutzwiller trace formula. We apply the generalized
theory to explain the formation of hard gaps in the spectral density of chaotic
Andreev billiards, a phenomenon that so-far defied a non-phenomenological
explanation. | | Source: | arXiv, 0901.3137 | | Services: | Forum | Review | PDF | Favorites | |
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