  Recent experimental progresses have demonstrated the great potential of
electronic and excitonic moir\'e superlattices in transition metal
dichalcogenides (TMDs) for quantum many-body simulations and quantum optics
applications. Here we reveal that the moir\'e potential landscapes in the TMDs
heterostructures have an electrostatic origin from the spontaneous charge
transfer across the heterointerfaces dependent on the atomic registry. This
allows engineering tunable multi-chromatic superlattices through the
interference of moir\'e potentials from independently configurable
heterointerfaces in multilayers. We show examples of bichromatic moir\'e
potentials for valley electrons, holes, and interlayer trions in MX2/M'X'2/MX2
trilayers, which can be strain switched from multi-orbital periodic
superlattices to quasi-periodic disordered landscape. The trilayer moir\'e also
hosts two independently configurable triangular superlattices of neutral
excitons with opposite electric dipoles. These findings greatly enrich the
versatility and controllability of TMDs moir\'e as a quantum simulation
platform.
