  The sine-Gordon model emerges as a low-energy theory in a plethora of quantum
many-body systems. Here, we theoretically investigate tunnel-coupled
Bose-Hubbard chains with strong repulsive interactions as a realization of the
sine-Gordon model deep in the quantum regime. We propose protocols for quantum
gas microscopes of ultracold atoms to prepare and analyze solitons, that are
the fundamental topological excitations of the emergent sine-Gordon theory.
With numerical simulations based on matrix product states we characterize the
preparation and detection protocols and discuss the experimental requirements.

Quantum Gases;Statistical Mechanics;Quantum Physics