Driven Andreev molecule

Abstract

We study the three terminal S-QD-S-QD-S Josephson junction biased with commensurate voltages. In the absence of an applied voltage, the Andreev bound states on each quantum dot hybridize forming an `Andreev molecule'. However, understanding of this system in a non-equilibrium setup is lacking. Applying a dc voltage on the bijunction makes the system time-periodic, and the equilibrium Andreev bound states evolve into a ladder of resonances with a finite lifetime due to multiple Andreev reflections (MAR). Starting from the time-periodic Bogoliubov-de Gennes equations we map the problem to a tight-binding chain in the (infinite) Floquet space. The resolvent of this non-Hermitian block matrix is obtained via a continued fraction method. We numerically calculate the Floquet-Andreev spectra which could be probed by local tunneling spectroscopy on the dots. We also consider the subgap current, and show that the Floquet resonances determine the position of the MAR steps. Proximity of the two dots causes splitting of the steps, while at large distances we observe interference effects which cause oscillations in the I-V curves. The latter effect should persist at very long distances.

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Cited by in corpus (11)

• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
• On-off switch and sign change for non-local Josephson diode in spin-valve Andreev molecules
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Josephson junctions based on ultraclean carbon nanotubes
• Magnetointerferometry of multiterminal Josephson junctions
• Long-range coupling between superconducting dots induced by periodic driving
• Ballistic Andreev interferometers
• Exploring the energy spectrum of a four-terminal Josephson junction: Towards topological Andreev band structures
• Scalable Effective Models for Superconducting Nanostructures: Applications to Double, Triple, and Quadruple Quantum Dots
• Slave-spin approach to the Anderson-Josephson quantum dot
• Revisiting the adiabatic limit in ballistic multiterminal Josephson junctions