  The one-dimensional lattice Schwinger model has recently been realized by
using bosons in optical lattices. This model contains both confinement and
deconfinement phases, whose phase diagram is controlled by the mass of the
matter field and the topological angle. Since varying the mass of matter field
is straightforward experimentally, we propose how to tune the topological
angle, allowing accessing the entire phase diagram. We propose that direct
experimental evidence of confinement and deconfinement can be obtained by
measuring whether a physical charge is localized around a fixed gauge charge to
screen it. We also discuss the PXP model realized in the Rydberg atoms array,
which is equivalent to the lattice Schwinger model when all local gauge charges
are fixed as zero. Although the gauge charges are fixed, we can alternatively
probe the confinement and the deconfinement in the PXP model by studying the
relative motion of a pair of a physical charge and an anti-charge. Our scheme
can be directly implemented in these two relevant experimental platforms of
ultracold atom quantum simulators.
