Mainz 2017 – scientific programme

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A: Fachverband Atomphysik

A 23: Trapped ions

A 23.7: Talk

Wednesday, March 8, 2017, 16:15–16:30, N 3

Transmission Resonance Through a Periodically Driven Impurity — •Christoph Dauer, Axel Pelster, and Sebastian Eggert — State Research Center OPTIMAS and Fachbereich Physik, Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany

Recently a one-dimensional tight-binding chain with a temporally oscillating on-site potential acting as an impurity was investigated [1]. Using the Floquet theory a steady-state solution was found, whose transmission shows a non-monotonic behavior with respect to potential strength, driving frequency, and particle energy. For special parameter values a complete vanishing of the one-particle transmission occurs. Such a transmission resonance can be related to the Fano-effect and the interaction with dynamically created bound states in the continuum [2]. Here we perform the continuum limit of a vanishing lattice constant, where we obtain a qualitative similar nontrivial dependence of the transmission coefficient on the respective parameters. Furthermore, we show that the transmission coefficient can not vanish below a critical frequency.

[1] D. Thuberg, S.A. Reyes, and S. Eggert, Phys. Rev. B 93, 180301(R) (2016)

[2] A.E. Miroshnichenko and Y.S. Kivshar, Phys. Rev. E 72, 056611 (2005)