dr. Correggi's seminar at SISSA

[Emanuele Tuillier Illingworth]

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MATHEMATICAL PHYSICS SECTOR SEMINARS
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Dr. Michele Correggi
(Università degli studi di Trento)

will hold a seminar on:

"The Giant Vortex Transition in a Fast Rotating Bose-Einstein Condensate"


Abstract: "In a recent work in collaboration with N. Rougerie and J. 
Yngvason, we
study the Gross-Pitaevskii (GP) energy functional for a fast rotating
Bose-Einstein condensate on a two-dimensional disc. We consider the
asymptotic regime $\eps\to 0$, where the coupling parameter is $ 
\eps^{-2} $
and the angular velocity $\Omega = \Omega_0 \eps^{-2}|\log\eps|^{-1}$: We
prove that if $\Omega_0>(3\pi)^{-1}$, then any minimizer of the GP energy
functional has no zeros in an annulus at the boundary  of the disc that
contains the bulk of the mass and the vorticity resides in a complementary
"hole" around the center where the density is vanishingly small. 
Moreover we
investigate the ground state energy asymptotics and the total winding 
number
of any GP minimizer."


Wednesday 15 September at 2:30 pm in lecture room 136, I floor, SISSA 
Santorio Building, Via Bonomea 265



-- 
Dr. Emanuele Tuillier Illingworth
Secretary of Mathematical Physics and Elementary Particle sectors
Building A, fourth floor, room 402
phone (+39) 040 37 87 598
fax (+39) 040 37 87 466
SISSA
Via Bonomea 265
34136
Trieste, ITALY
emanuele.tuillier at sissa.it