  Metastable false vacuum states arise in a range of quantum systems and can be
observed in various dynamical scenarios, including decay, bubble nucleation,
and long-lived oscillations. False vacuum phenomenology has been examined in
quantum many-body systems, notably in 1D ferromagnetic Ising spin systems and
superfluids. In this paper, we study long-lived oscillations of false and true
vacuum states in 1D antiferromagnetic neutral atom chains with long-range
Rydberg interactions. We use a staggered local detuning field to achieve
confinement. Using theoretical and numerical models, we identify novel spectral
signatures of quasiparticle oscillations distinct to antiferromagnetic neutral
atom systems and interpret them using a classical energy model of deconfinement
from Rydberg tails. Finally, we evaluate the experimental accessibility of our
proposed setup on current neutral-atom platforms and discuss experimental
feasibility and constraints.
