  Motivated by the recent discovery of a possible field-mediated parity switch
within the superconducting state of CeRh2As2 [Khim et al., Science 373, 1012
(2021)], we thoroughly investigate the dependence of the superconducting state
of a strongly-coupled Rashba mono- and bilayer on internal parameters and an
applied magnetic field. The role of interlayer pairing, spin orbit coupling,
doping rate and applied magnetic field and their interplay was examined
numerically at low temperature within a t-J-like model, uncovering complex
phase diagrams and transitions between superconducting states with different
symmetry.
