  In this study, we propose an exotic quantum state which does not order at
zero temperature in a Rydberg atom array with antiblockade mechanism. By
performing an unbiased large-scale quantum Monte Carlo simulation, we
investigate a minimal model with facilitated excitation in a disorder-free
system. At zero temperature, this model exhibits a heterogeneous structure of
liquid and glass mixture. This state, dubbed quantum slush state, features a
quasi-long-range order with an algebraic decay for its correlation function,
and is different from most well-established quantum phases of matter.
