Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.12: Poster

Wednesday, March 28, 2007, 16:00–18:00, Poster D

Chaos-assisted tunneling: the effect of Cantori — Mirjam Schmid, Christopher Eltschka, and •Peter Schlagheck — Institut für Theoretische Physik, Universität Regensburg

Dynamical tunneling rates between symmetry-related regular islands in quantum system with a mixed regular-chaotic classical phase space can be semiclassically estimated by means of the effect of prominent nonlinear resonances that manifest within the islands [1]. This approach is implicitly based on the assumption that the classical dynamics of the system is perfectly regular within and fully chaotic outside the islands. To improve on this assumption, we take into account the presence of important partial barriers and Cantori in the chaotic part of the phase space, which may lead to a significant enlargement of the effective island size. Using such partial barriers, and including prominent resonances that are located in between them into the calculation, we obtain a rather good reproduction of the exact quantum tunneling rates in driven one-dimensional model systems.

[1] C. Eltschka and P. Schlagheck, Phys. Rev. Lett. 94, 014101 (2005).