Consequences of flooding on spectral statistics
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Contributors
Abstract
We study spectral statistics in systems with a mixed phase space, in which regions of regular and chaotic motion coexist. Increasing their density of states, we observe a transition of the level-spacing distribution P(s) from Berry-Robnik to Wigner statistics, although the underlying classical phase-space structure and the effective Planck constant h eff remain unchanged. This transition is induced by flooding, i.e., the disappearance of regular states due to increasing regular-to-chaotic couplings. We account for this effect by a flooding-improved Berry-Robnik distribution, in which an effectively reduced size of the regular island enters. To additionally describe power-law level repulsion at small spacings, we extend this prediction by explicitly considering the tunneling couplings between regular and chaotic states. This results in a flooding- and tunneling-improved Berry-Robnik distribution which is in excellent agreement with numerical data.
Details
Original language | English |
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Article number | 036213 |
Journal | Physical Review E |
Volume | 85 |
Issue number | 3 |
Publication status | Published - 22 Mar 2012 |
Peer-reviewed | Yes |
External IDs
Scopus | 84859074029 |
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ORCID | /0000-0002-7017-3738/work/142254008 |