  Motivated by the recent experimental realization of a two-particle fractional
quantum Hall state of ultracold atoms in a small optical lattice [Nature 619,
495 (2023)], we propose a minimal setup to create and observe a quasihole in
such a system. We find that clear signatures of a quasihole state with two or
three atoms can be obtained through a standard site-resolved density
measurement provided that the system is appropriately modified with simple
additional potential profiles. By adding a single-site repulsive potential to
pin the quasihole and superimposing a harmonic trap on top of the optical
lattice to keep the particles away from the system edge, we determine via exact
diagonalization an optimal range for system parameters such as the magnetic
flux and the strengths of the additional potentials that would favour the
creation of the quasihole state. We hope that our results will be a useful
guide for a possible proof-of-principle experiment that will demonstrate the
first controllable creation of a simple quasihole state in a condensed matter
system, which will pave the way for the observation of the anyonic statistics
of quasiholes in a more complex system.
