  Electromagnetically induced optical (or photonic) lattices via atomic
coherence in atomic ensembles have recently received great theoretical and
experimental interest. We here conceive a way to generate electromagnetically
induced moir\'{e} optical lattices -- a twisted periodic pattern when two
identical periodic patterns (lattices) are overlapped in a twisted angle
($\theta$) -- in a three-level coherent atomic gas working under
electromagnetically induced transparency. We show that, changing the twisted
angle and relative strength between the two constitutive sublattices, the
moir\'{e} Bloch bands that are extremely flattened can always appear,
resembling the typical flat-band and moir\'{e} physics found in other contexts.
Dynamics of light propagation in the induced periodic structures demonstrating
the unique linear localization and delocalization properties are also revealed.
Our scheme can be implemented in a Rubidium atomic medium, where the predicted
moir\'{e} optical lattices and flattened bands are naturally observable.

Optics