Abstract
The study of correlated ultracold atoms in a disordered
environment represents one of the most recent frontiers in
the growing interface between atomic/molecular physics and
condensed matter physics. I will present recent theoretical
and numerical work investigating realistic setups for the
realization of equilibrium and non-equilibrium disordered
phases of ultra-cold bosons in one-dimensional optical lattices.
In particular, I will discuss the realization of randomized
metastable states in binary mixtures of bosons with strongly
unequal effective masses. Here metastable arrangements
of the two species into random droplets, resembling an
emulsion of immiscible fluids, realize a gapless
non-superfluid phase analogous to a Bose glass.
Moreover I will discuss the rich phase diagram of
ultracold bosons in a pseudo-random potential realized
by an incommensurate superlattice, where gapless Bose-glass
phases compete with gapped band-insulating phases.
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