Nonlinear optical processes lie at the heart of frequency
tunable
coherent light sources, including entangled photon sources and squeezed
states of light, and they have become ubiquitous in fields ranging
from ultrafast spectroscopy to quantum information processing. van
der Waals materials have recently emerged as dynamically tunable and
highly nonlinear optical platforms with ultracompact footprints. In
particular, semiconducting materials like transition metal dichalcogenides
possess large optical nonlinearity, orders of magnitude higher than
standard nonlinear bulk crystals, and promise interesting opportunities
toward the miniaturization of nonlinear optical devices down to the
nanoscale. In this Perspective, we outline ongoing and future research
directions in the field of nonlinear optics with layered semiconductors,
with special focus on the control and tunability of their optical
nonlinearities.