Floquet Majorana bound states in voltage-biased planar Josephson junctions

We study a planar Josephson junction under an applied DC voltage bias in the presence of in-plane magnetic field. Upon tuning across junction, $V_{{\rm J}}$, two ends are shown to simultaneously host both $0$- and $\pi$-Majorana modes. These modes can be probed using either Scanning-Tunneling-Microscopy measurement or through resonant Andreev tunneling from lead coupled junction. While these mostly bound junction's ends, they hybridize with bulk by absorbing emitting photons. analyze this process numerically analytically, demonstrating that it become negligible typical experimental conditions. Transport signatures states robust moderate disorder.