  Excitons, Coulomb-bound electron-hole pairs, play a fundamental role in both
optical excitation and correlated phenomena in solids. When an exciton
interacts with other quasi-particles, few- and many-body excited states, such
as trions, exciton Fermi-polarons, Mahan excitons can appear. Here, we report a
new interaction between exciton and charges enabled by unusual quantum
confinement in 2D moir\'e superlattices, which results in novel exciton
many-body ground states composed of moir\'e excitons and correlated electron
lattices. Unique to H-stacked (or 60o-twisted) WS2/WSe2 heterobilayer, we found
that the interlayer atomic registry and moir\'e structural reconstruction leads
to an interlayer moir\'e exciton (IME) whose hole in one layer is surrounded by
its partner electron's wavefunction spread among three adjacent moir\'e traps
in the other layer. This 3D excitonic structure can enable large in-plane
electrical quadrupole moments in addition to the vertical dipole. Upon doping,
the electric quadrupole facilitates the binding of IME to the charges in
neighboring moir\'e cells, forming an intercell charged exciton complex. The
exciton complex is unveiled by the IME photoluminescence energy jumps when the
electron lattices form at both fractional and integer-filled moir\'e minibands,
with replica-like spectral features between successive integer moir\'e
fillings. Our work provides the framework in understanding and engineering
emergent exciton many-body states in correlated moir\'e charge orders.
