Regensburg 2013 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 26: Quantum Chaos I
DY 26.5: Vortrag
Donnerstag, 14. März 2013, 11:00–11:15, H47
Biased diffusion inside regular islands of randomly perturbed quantum maps — •Alexander Schnell1 and Roland Ketzmerick1,2 — 1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany — 2Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
We study quantum maps under random parametric perturbations.
Similar to the corresponding classical case [1] we find
biased diffusion of wave packets inside a regular island.
We show that quantum mechanics leads to two additional effects:
(i) Due to quantization the innermost states exhibit a different
drift velocity and diffusion coefficient, which can be derived from a
linearized model. This may enhance or reduce the survival probability
in the regular island depending on the parity of the initial wave packet.
(ii) Due to dynamical tunneling the escape from the regular island
is further enhanced at large times.
[1] A. Kruscha, R. Ketzmerick, and H. Kantz, Phys. Rev. E 85, 066210 (2012).