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Complex-path prediction of resonance-assisted tunneling in mixed systems
2017
Physical review. E
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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. 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
doi:10.1103/physreve.95.020202
pmid:28297952
fatcat:zu7dkd7f5zdgne4wxigsoqed3a