Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 64: Poster Session: Transport

TT 64.4: Poster

Donnerstag, 4. April 2019, 15:00–18:30, Poster D

Fluctuation relations in interacting quantum pumps — •Roman-Pascal Riwar¹ and Janine Splettstoesser² — ¹JARA Institute for Quantum Information (PGI-11), Forschungszentrum Jülich, Germany — ²Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology, Sweden

The understanding of out-of-equilibrium fluctuation relations in small open quantum systems has been a focal point of research in recent years. Here, we consider symmetries and fluctuation relations of the charge and energy current statistics in time-dependently driven, interacting quantum systems, such as quantum dot pumps. In particular, we study slowly driven pumps, where we systematically expand the full-counting statistics in orders of the driving parameter. We find that while in zeroth (instantaneous) order, it suffices to consider the charge current cumulants separately to formulate fluctuation relations, for the first order, this is no longer possible. The energy displacement currents necessarily appear as extra terms, as a consequence of the highly geometric nature of the pumping current statistics. Surprisingly, there is one exception: when the Coulomb interactions disappear in the dot, so does this correction. We therefore find that it is possible to recover the standard equilibrium fluctuation-dissipation theorem, notably in presence of a non-equilibrium pump, as long as the system is noninteracting.