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Open Quantum Systems Decoherence

Complex-Path Prediction of Resonance-Assisted Tunneling in Mixed Systems

arXiv
Authors: Felix Fritzsch, Arnd Bäcker, Roland Ketzmerick, Normann Mertig

Year

2016

Paper ID

43250

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

We present a semiclassical prediction of regular-to-chaotic tunneling in systems with a mixed phase space, including the effect of a nonlinear resonance chain. We identify complex paths for direct and resonance-assisted tunneling in the phase space of an integrable approximation with one nonlinear resonance chain. We evaluate the resonance-assisted contribution analytically and give a prediction based on just a few properties of the classical phase space. For the standard map excellent agreement with numerically determined tunneling rates is observed. The results should similarly apply to ionization rates and quality factors.

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  • We present a semiclassical prediction of regular-to-chaotic tunneling in systems with a mixed phase space, including the effect of a nonlinear resonance chain.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1609.09276 [2] arXiv https://arxiv.org/abs/1609.09276 [3] Publisher https://arxiv.org/abs/1609.09276

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