In this talk I am going to survey a class of translational
symmetry broken Mott states which has been recently
experimentally realized using ultracold bosonic atoms in
optical lattices. The theoretical prediction and
experimental realization of such states using ultracold
bosons shall be charted out. This will be followed by a
discussion of their out-of-equilibrium dynamics which
would reveal the potential of such ultracold boson
systems to serve as experimental platform for realization
of several dynamical phenomena such Kibble-Zureck
scaling and dynamic freezing.
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