  Quantum fluctuations in frustrated systems can lead to the emergence of
complex many-body phases. However, the role of quantum fluctuations in
frustration-free lattices is less explored and could provide an interesting
avenue for exploring new physics, and perhaps easier to realize compared to
frustrated lattice systems. Using Rydberg atoms with tunable interactions as a
platform, we leverage strong van der Waals interactions and obtain a
constrained model in one dimension with non-local fluctuations given by dipolar
interactions alongside local fluctuations. The combined effect of such
processes leads to intrinsically quantum-ordered Rydberg crystals through the
order-by-disorder mechanism. Finite-size analyses indicate that combined
fluctuations drive the transition from disordered to ordered phases, contrary
to the expected direction. We provide a theoretical description to understand
the physics of order-by-disorder in one-dimensional systems, which are
typically seen only in higher dimensions.
