Anna Minguzzi

Anderson Localization of a Bose-Einstein Condensate in a 3D Random Potential

We study the effect of Anderson localization on the expansion of a Bose-Einstein condensate, released from a harmonic trap, in a 3D random potential. We use scaling arguments and the self-consistent theory of localization to show that the long-time behavior of the condensate density is controlled by a single parameter equal to the ratio of the mobility edge and the chemical potential of the condensate. We find that the two critical exponents of the localization transition determine the evolution of the condensate density in time and space.

Exact particle and kinetic-energy densities for one-dimensional confined gases of noninteracting fermions.

We propose a new method for the evaluation of the particle density and kinetic pressure profiles in inhomogeneous one-dimensional systems of noninteracting fermions, and apply it to harmonically confined systems of up to N = 1000 fermions. The method invokes a Greens function operator in coordinate space, which is handled by techniques originally developed for the calculation of the density of single-particle states from Greens functions in the energy domain. In contrast to the Thomas-Fermi approximation, the exact profiles show negative local pressure in the tails and a prominent shell structure which may become accessible to observation in magnetically trapped gases of fermionic alkali atoms.

Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice

We determine the phase diagram and the momentum distribution for a one-dimensional Bose gas with repulsive short-range interactions in the presence of a two-color lattice potential, with an incommensurate ratio among the respective wavelengths, by using a combined numerical (density matrix renormalization group) and analytical (bosonization) analysis. The system displays a delocalized (superfluid) phase at small values of the intensity of the secondary lattice

Number squeezing, quantum fluctuations and oscillations in mesoscopic Bose Josephson junctions

{\mathit{V}}_{2}

Scissors mode in a superfluid Fermi gas

and a localized (Bose-glasslike) phase at larger intensity

Exact solution for the degenerate ground-state manifold of a strongly interacting one-dimensional Bose-Fermi mixture

{\mathit{V}}_{2}

Coherent superposition of current flows in an atomtronic quantum interference device

. We analyze the localization transition as a function of the height

Long range correlations in a 97% excitonic one-dimensional polariton condensate

{\mathit{V}}_{2}

Optimal Persistent Currents for Interacting Bosons on a Ring with a Gauge Field

beyond the known limits of free and hard-core bosons. We find that weak repulsive interactions disfavor the localized phase, i.e., they increase the critical value of

Universal contact for a Tonks-Girardeau gas at finite temperature.

{\mathit{V}}_{2}