Transmission from reverse reaction coordinate mappings

Abstract

We point out that the transport properties of non-interacting fermionic chains 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. In addition, we also demonstrate that the mapping can be performed numerically by computing the transmission of a Su-Schrieffer-Heeger chain.

9+5 pages, 9 figures, invited contribution to the special issue "Non-linear and Complex Dynamics in Semiconductors and Related Materials" with the motto ''Complex Systems Science meets Matter and Materials'' in EPJB

References in corpus (12)

• Thermodynamic uncertainty relation for biomolecular processes
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Universal oscillations in counting statistics
• On the validity of the thermodynamic uncertainty relation in quantum systems
• Universal Markovian reduction of Brownian particle dynamics
• Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
• Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regime
• Weak coupling approximations in non-Markovian Transport
• An electronic Maxwell demon in the coherent strong-coupling regime
• Systematic Perturbation Theory for Dynamical Coarse-Graining
• Steady-state thermodynamics of non-interacting transport beyond weak coupling
• Thermoelectric performance of topological boundary modes

Cited by in corpus (7)

• Broadband frequency filters with quantum dot chains
• Electron pumping in the strong coupling and non-Markovian regime: A reaction coordinate mapping approach
• Pushing the limits of the reaction-coordinate mapping
• Quantum Zeno Manipulation of Quantum Dots
• Generalized Landauer formula for time-dependent potentials and noise-induced zero-bias dc current
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Multiple perfectly-transmitting states of a single-level at strong coupling