  Quantum simulation of a monopole-spin hybrid system is performed on basis of
a dipolar ultracold gas in a ladder lattice. The site-occupation states of the
dipolar ladder lattice gas can spontaneously emulate both the monopole and spin
excitations. The hopping of the atoms induces a particle conversion process
between spin and monopole pairs, and the dipole-dipole interaction determines
the spin-spin, spin-monopole and monopole-monopole interactions. The
anisotropic nature of the dipole-dipole interaction allows hereby for a
flexible engineering of the designed hybrid system, and for a significant
tunability of the interaction strengths. As a result, we encounter a rich phase
diagram, and specifically a self-assembled Coulomb phase arises, in which
monopoles and spins coexist and are orderly arranged according to the local
Gauss's law. The Coulomb phase hosts a zoo of different types of
quasiparticles, and provides the possibility to simulate various phenomena in
particle physics, such as a degenerate vacuum, particle decay and conversion
processes. Our work provides a significant extension of the scope of quantum
simulations based on the anisotropy of dipolar interactions.
