Markovian kinetic equation approach to electron transport through quantum dot coupled to superconducting leads

Abstract

We present a derivation of Markovian master equation for the out of equilibrium quantum dot connected to two superconducting reservoirs, which are described by the Bogoliubov-de Gennes Hamiltonians and have the chemical potentials, the temperatures, and the complex order parameters as the relevant quantities. We consider a specific example in which the quantum dot is represented by the Anderson impurity model and study the transport properties, proximity effect and Andreev bound states in equilibrium and far from equilibrium setups.

10 pages, 6 figures

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• Controlling Quantum Transport via Dissipation Engineering
• Subgap features due to quasiparticle tunneling in quantum dots coupled to superconducting leads
• Nonequilibrium Quantum Phase Transitions in the XY model: comparison of unitary time evolution and reduced density matrix approaches
• Distribution of waiting times between electron cotunnelings
• Long-range coupling between superconducting dots induced by periodic driving