Michele Correggi

Energy and vorticity in fast rotating Bose–Einstein condensates

We study a rapidly rotating Bose-Einstein condensate confined to a finite trap in the framework of two-dimensional Gross-Pitaevskii theory in the strong coupling (Thomas-Fermi) limit. Denoting the coupling parameter by

Ionization for Three Dimensional Time-dependent Point Interactions

1/\eps^2

A Class of Hamiltonians for a Three-Particle Fermionic System at Unitarity

and the rotational velocity by

Critical rotational speeds for superfluids in homogeneous traps

\Omega

Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices

, we evaluate exactly the next to leading order contribution to the ground state energy in the parameter regime

On the Ginzburg–Landau Functional in the Surface Superconductivity Regime

|\log\eps|\ll \Omega\ll 1/(\eps^2|\log\eps|)

Boundary Behavior of the Ginzburg–Landau Order Parameter in the Surface Superconductivity Regime

with

Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates

\eps\to 0

EFFECTS OF BOUNDARY CURVATURE ON SURFACE SUPERCONDUCTIVITY

. While the TF energy includes only the contribution of the centrifugal forces the next order corresponds to a lattice of vortices whose density is proportional to the rotational velocity.

Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates

We study the time evolution of a three dimensional quantum particle under the action of a time-dependent point interaction fixed at the origin. We assume that the “strength” of the interaction α(t) is a periodic function with an arbitrary mean. Under very weak conditions on the Fourier coefficients of α(t), we prove that there is complete ionization as t→∞, starting from a bound state at time t=0. Moreover we prove also that, under the same conditions, all the states of the system are scattering states.