Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation

Abstract

We study properties of a periodically driven system coupled to a thermal bath. As a nontrivial example, we consider periodically driven metallic system coupled to a superconducting bath. The effect of the superconductor on the driven system is two-fold: it (a) modifies density of states in the metal via the proximity effect and (b) acts as a thermal bath for light-excited quasi-particles. Using Keldysh formalism, we calculate, nonpertubatively in the system-bath coupling, the steady-state properties of the system and obtain non-equilibrium distribution function. The latter allows one to calculate observable quantities which can be spectroscopically measured in tunneling experiments.

15 pages, 9 figures

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• Power law tails and non Markovian dynamics in open quantum systems: An exact solution from Keldysh field theory
• Many-body dynamics and gap opening in interacting periodically driven systems
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Intrinsic dissipative Floquet superconductors beyond mean-field theory
• Quasiparticles of periodically driven quantum dot coupled between superconducting and normal leads
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• Floquet States
• Properties of dissipative Floquet Majorana modes using a quantum dot
• Occupation Dynamics of Floquet-Volkov States and Spectral Sum Rule
• Green Function Invariants for Floquet Topological Superconductivity Induced by Proximity Effects