Abstract
In the present paper we describe the properties induced by disorder on
an ultracold gas of Bosonic atoms loaded into a two-dimensional
optical lattice with global confinement ensured by a parabolic
potential. Our analysis is centered on the spatial distribution of
the various phases, focusing particularly on the superfluid properties
of the system as a function of external parameters and of disorder
amplitude. In particular, it is shown how disorder can suppress
superfluidity, while partially preserving the system coherence.
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