Thursday, July 5, 2012

1207.0985 (Normann Mertig et al.)

Complex paths for regular-to-chaotic tunneling rates    [PDF]

Normann Mertig, Steffen Löck, Arnd Bäcker, Roland Ketzmerick, Akira Shudo
In generic Hamiltonian systems tori of regular motion are dynamically separated from regions of chaotic motion in phase space. Quantum mechanically these phase-space regions are coupled by dynamical tunneling. We introduce a semiclassical approach based on complex paths for the prediction of dynamical tunneling rates from regular tori to the chaotic region. This approach is demonstrated for the standard map giving excellent agreement with numerically determined tunneling rates.
View original: http://arxiv.org/abs/1207.0985

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