  We propose a protocol to realize synthetic $p_x+ip_y$ superconductors in
one-dimensional topological systems that host Majorana fermions. By
periodically driving a localized Majorana mode across the system, our protocol
realizes a topological pumping of Majorana fermions, analogous to the adiabatic
Thouless pumping of electrical charges. Importantly, similar to the realization
of a Chern insulator through Thouless pumping, we show that pumping of Majorana
zero modes could lead to a $p_x + ip_y$ superconductor in the two dimensions of
space and synthetic time. The Floquet theory is employed to map the driven
one-dimensional system to a two-dimensional synthetic system by considering
frequency as a new dimension. We demonstrate such Floquet $p_x + i p_y$
superconductors using the Kitaev $p$-wave superconductor chain, a prototypical
1D topological system, as well as its more realistic realization in the 1D
Kondo lattice model as examples. We further show the appearance of a new $\pi$
Majorana mode at the Floquet zone boundary in an intermediate drive frequency
region. Our work suggests a driven magnetic spiral coupled to a superconductor
as a promising platform for the realization of novel topological
superconductors.
