Regensburg 2004 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.37: Poster

Thursday, March 11, 2004, 16:00–18:00, Poster D

Resonance-assisted tunneling in the kicked rotor — •Christopher Eltschka and Peter Schlagheck — Institut für theoretische Physik, Universität Regensburg

We investigate tunneling in the quantum kicked rotor, which manifests itself in small eigenphase splittings between symmetric and antisymmetric combinations of “left-moving” and “right-moving” quasi-modes. Our special interest lies in the role of nonlinear resonances, which appear as island chains in the classical phase space and which induce couplings that substantially enhance the tunneling process [1]. Semiclassical reproductions of the splittings, which are based on the resonance-assisted coupling mechanism, are compared with the exact quantum splittings, which are calculated by using multiple precision arithmetics.

[1] O. Brodier, P. Schlagheck, and D. Ullmo, Phys. Rev. Lett. 87, 064101 (2001), Ann. Phys. 300, 88 (2002).