  We investigate a spin-full double quantum dot (DQD) coupled to the leads in a
pseudospin valve configuration. The interplay of interaction and interference
produces in the stability diagram a rich variety of resonances, modulated by
the system parameters. In presence of ferromagnetic leads and pseudospin
anisotropy, those resonances split, turn into dips and acquire a Fano shape
thus revealing a synthetic spin-orbit coupling induced on the DQD. A set of
rate equations derived for a minimal model captures those features. The model
accurately matches the numerical results obtained for the full system in the
framework of a generalized master equation and calculated within the
cotunneling approximation.
