  The phenomenon of confinement is well known in high-energy physics and can
also be realized for low-energy domain-wall excitations in one-dimensional
quantum spin chains. A bound state consisting of two domain-walls can behave
like a meson, and in a recent work of Vovrosh et al. [PRX Quantum 3, 040309
(2022)] , it was demonstrated that a pair of mesons could dynamically form a
meta-stable confinement-induced bound state (consisting of four domain-walls)
akin to a hadronic state. However, the protocol discussed in Vovrosh et al.
[PRX Quantum 3, 040309 (2022)] involving the use of interactions with
characteristically non-monotonic distance dependence is not easy to come by in
nature, thus, posing a challenge for its experimental realization. In this
regard, Rydberg atoms can provide the required platform for simulating
confinement-related physics. We exploit the flexibility offered by interacting
Rydberg-dressed atoms to engineering modified spin-spin interactions for the
one-dimensional transverse field Ising model. Our numerical simulations show
how Rydberg-dressed interactions can give rise to a variety of effective
potentials that are suitable for hadron formation, which opens the possibility
of simulating confinement physics with Rydberg platforms as a viable
alternative to current trapped-ion experiments.
