Pair-amplitude dynamics in strongly-coupled superconductor-quantum dot hybrids

Abstract

We consider a three-terminal system consisting of a quantum dot strongly coupled to two superconducting reservoirs in the infinite gap limit and weakly coupled to a normal metal. Using a real-time diagrammatic approach, we calculate the dynamics of the proximity-induced pair amplitude on the quantum dot. We find that after a quench the pair amplitude shows pronounced oscillations with a frequency determined by the coupling to the superconductors. In addition, it decays exponentially on a time scale set by the coupling to the normal metal. Strong oscillations of the pair amplitude occur also when the system is periodically driven both in the adiabatic and fast-driving limit. We relate the dynamics of the pair amplitude to the Josephson and Andreev current through the dot to demonstrate that it is an experimentally accessible quantity.

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Cited by in corpus (6)

• Fractional Josephson effect versus fractional charge in superconducting-normal metal hybrid circuits
• Asymmetries of thermal processes in open quantum systems
• A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads
• Solution of master equations by fermionic-duality: Time-dependent charge and heat currents through an interacting quantum dot proximized by a superconductor
• Signatures of superconducting Higgs mode in irradiated Josephson junctions
• AC Josephson Signatures of the Superconducting Higgs Mode