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  Fractional-Power-Law Level Statistics Due to Dynamical Tunneling

Backer, A., Ketzmerick, R., Lock, S., & Mertig, N. (2011). Fractional-Power-Law Level Statistics Due to Dynamical Tunneling. Physical Review Letters, 106(2): 024101.

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Backer, A.1, Author           
Ketzmerick, R.1, Author           
Lock, S.1, Author           
Mertig, N.1, Author           
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: YB 2012
 Abstract: For systems with a mixed phase space we demonstrate that dynamical tunneling universally leads to a fractional power law of the level-spacing distribution P(s) over a wide range of small spacings s. Going beyond Berry-Robnik statistics, we take into account that dynamical tunneling rates between the regular and the chaotic region vary over many orders of magnitude. This results in a prediction of P(s) which excellently describes the spectral data of the standard map. Moreover, we show that the power-law exponent is proportional to the effective Planck constant h(eff)

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 Dates: 2011-01-12
 Publication Status: Issued
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 Identifiers: eDoc: 608348
ISI: 000286745800001
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 106 (2) Sequence Number: 024101 Start / End Page: - Identifier: ISSN: 0031-9007