Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Statistical Physics far from Thermal Equilibrium

DY 30.2: Talk

Wednesday, April 3, 2019, 10:30–10:45, H6

Transmission from reverse reaction coordinate mappings — •Niklas Martensen and Gernot Schaller — Institut für Theoretische Physik, Hardenbergstr. 36, Technische Universität Berlin, D-10623 Berlin, Germany

We point out that the transport properties of non-interacting fermionic chains that are tunnel-coupled to two reservoirs at their ends can be mapped to those of a single quantum dot that is tunnel-coupled to two transformed reservoirs. The parameters of the chain are mapped to additional structure in the spectral densities of the transformed reservoirs. For example, this enables the calculation of the transmission of quantum dot chains by evaluating the known transmission of a single quantum dot together with structured spectral densities. We exemplify this analytically for short chains, which allows to optimize the transmission. Tuning of the transmission allows to reach a non-Markovian transport regime that violates the thermodynamic uncertainty relation. In addition, we also demonstrate that the mapping can be performed numerically by computing the transmission of a Su-Schrieffer-Heeger chain.

[1] A. Nazir and G. Schaller, The reaction coordinate mapping in quantum thermodynamics, as a chapter of F. Binder, L. A. Correa, C. Gogolin, J. Anders, and G. Adesso (eds.), Thermodynamics in the quantum regime - Recent Progress and Outlook (Springer International Publishing), arXiv:1805.08307.

[2] N. Martensen and G. Schaller, Transmission from reverse reaction coordinate mappings, arXiv:1809.10529.