Dresden 2011 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Posters I

DY 10.19: Poster

Montag, 14. März 2011, 17:00–19:00, P4

1D Schrödinger equation with open boundaries for pumping potentials — •Niklas Rohling and Frank Grossmann — Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany

In order to generate a non-vanishing average current within the time-periodic Schrödinger equation the potential has to break parity and generalized parity. We therefore firstly consider the following potentials with position-dependence only in a central region and a non-static bias: a harmonically driven sawtooth potential (a) and a step-like potential (b). Secondly, we study a dipole field in the central region (c). The cases (b) and (c) contain driving by the fundamental and the second harmonic, so-called harmonic mixing [1]. To calculate the current, we use Floquet scattering theory as well as an open boundary wavefunction [2]. In case (c) we optimize the relative amplitude ratio between the fundamental and the second harmonic leading to a maximum in the pumping current.

[1] S. Kohler, J. Lehmann, and P. Hänggi, Phys. Rep. 406 379-443 (2005)

[2] S. Kurth, G. Stefanucci, C.-O. Almbladh, A. Rubio, and E. K. U. Gross, Phys. Rev. B 72, 035308 (2005)