  At the core of the semiconducting spin qubits success is the ability to
manipulate them electrically, enabled by the spin-orbit interactions. However,
most implementations require external magnetic fields to define the spin qubit,
which in turn activate various charge noise mechanisms. Here we study spin
qubits confined in quantum dots at zero magnetic fields, that are driven
periodically by electrical fields and are coupled to a microwave resonator.
Using Floquet theory, we identify a well-defined Floquet spin-qubit originating
from the lowest degenerate spin states in the absence of driving. We find both
transverse and longitudinal couplings between the Floquet spin qubit and the
resonator, which can be selectively activated by modifying the driving
frequency. We show how these couplings can facilitate fast qubit readout and
the implementation of a two-qubit CPHASE gate. Finally, we use adiabatic
perturbation theory to demonstrate that the spin-photon couplings originate
from the non-Abelian geometry of states endowed by the spin-orbit interactions,
rendering these findings general and applicable to a wide range of solid-state
spin qubits.
