Higgs-like pair amplitude dynamics in superconductor-quantum dot hybrids

Abstract

We consider a quantum dot weakly tunnel coupled to superconducting reservoirs. A finite superconducting pair amplitude can be induced on the dot via the proximity effect. We investigate the dynamics of the induced pair amplitude after a quench and under periodic driving of the system by means of a real-time diagrammatic approach. We find that the quench dynamics is dominated by an exponential decay towards equilibrium In contrast, the periodically driven system can sustain coherent oscillations of both the amplitude and the phase of the induced pair amplitude in analogy to Higgs and Nambu-Goldstone modes in driven bulk superconductors.

arXiv comment11 pages, 7 figures

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• Pair-amplitude dynamics in strongly-coupled superconductor-quantum dot hybrids
• Transient effects in quantum dots contacted via topological superconductor
• A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads
• Quantum transport phenomena induced by time-dependent fields
• Solution of master equations by fermionic-duality: Time-dependent charge and heat currents through an interacting quantum dot proximized by a superconductor
• Transient triplet blockade in Andreev junction