Stuttgart 2012 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 54: Poster 3

Q 54.86: Poster

Donnerstag, 15. März 2012, 16:30–19:00, Poster.I+II

Full Counting Statistics in one-dimensional waveguiding systems — •Matthias Moeferdt¹, Peter Schmitteckert², and Kurt Busch^3,4 — ¹Institut für Theoretische Festkörperphysik, Karlsruher Institut für Technologie (KIT), 76131 Karlsruhe, Germany — ²Institut für Nanotechnologie, Karlsruher Institut für Technologie (KIT), 76344 Eggenstein-Leopoldshafen, Germany — ³Humboldt-Universität zu Berlin, Institut für Physik, AG Theoretische Optik, Newtonstr. 15, 12489 Berlin — ⁴Max-Born-Institut, Max-Born-Str. 2A, 12489 Berlin, Germany

We present an approach to calculate the Full Counting Statistics (FCS) for one--dimensional waveguiding systems. FCS is the full probability distribution of quantum transport. It is obtained by adding a counting field to the physical Hamiltonian which allows us to calculate a Moment Generating Function.

While this concept is widely used in the studies of fermionic systems, it is rarely applied to bosons, although it originated in the field of quantum optics. We implement a waveguide as a coupled resonator optical waveguide (CROW) with a side--coupled impurity. Transmittance and reflectance are calculated for a variety of different impurities and initial pulses. Furthermore, we study occupation numbers of specific sites and higher order correlations.