  We propose a scheme to simulate and explore Weyl semimetal physics with
ultracold fermionic atoms in a two-dimensional square optical lattice subjected
to experimentally realizable spin-orbit coupling and an artificial dimension
from an external parameter space, which may increase experimental feasibility
compared with the cases in three dimensional optical lattices. It is shown that
this system with a tight-binding model is able to describe essentially
three-dimensional Weyl semimetals with tunable Weyl points. The relevant
topological properties are also addressed by means of the Chern number and the
gapless edge states. Furthermore, we illustrate that the mimicked Weyl points
can be experimentally detected by measuring the atomic transfer fractions in a
Bloch-Zener oscillation, and the characteristic topological invariant can be
measured with the particle pumping approach.
