Floquet poor man's Majorana fermions in double quantum dots

Abstract: We consider a system consisting of two quantum dots connected by an s-wave superconductor in the presence of periodically varying electric or magnetic fields. The Floquet theory shows that there may be Floquet poor man's Majorana fermions (FPMMFs) in the high frequency region depending on the phase difference between the applied external fields to the two dots. Numerical results confirm this expectation and find in addition a lot of FPMMFs in the low frequency region. The FPMMFs survive for nonzero energy levels of the two dots and their interaction though the frequencies at which they emerge change and thus may be a promising candidate to be detected in experiments.