Regensburg 2004 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.14: Poster
Donnerstag, 11. März 2004, 16:00–18:00, Poster D
Duality Transformation for Quantum Ratchets — •Joël Peguiron1,2 and Milena Grifoni2 — 1Departement of Nanoscience, Delft University of Technology, 2628 CJ Delft, The Netherlands — 2Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg
We investigate a duality transformation between weak-binding models and tight-binding models for quantum ratchet systems. Ratchets are periodic structures with broken spatial symmetry yielding the possibility of a directed current in presence of noise and unbiased external forces. The duality transformation would allow to relate results that we obtained on few-bands quantum ratchets in the incoherent tunneling regime [1] with existing results on weakly corrugated ratchets [2]. It would also make possible to extend the parameter range of applicability of these results and especially check their classical limit. We are also interested to see how the symmetry conditions under which the ratchet current vanishes in both models map onto each other.
[1] M. Grifoni et al., PRL 89, 146801 (2002)
[2] S. Scheidl and V. M. Vinokur, PRB 65, 195305 (2002)