Abstract
In this paper we give a proposal to realize optical lattices with manipulated dislocations and study the physics of ultracold quantum gas on a two-dimensional (2D) optical square lattice with dislocations. In particular, the dislocations may induce fractional topological flux on 2D Peierls optical lattice. These results pave new approach to study the quantum many-body systems on an optical lattice with controllable topological lattice-defects, including the dislocations, topological fluxes.
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