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DTSTART:19810329T020000
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UID:news1645@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20240325T134941
DTSTART;TZID=Europe/Zurich:20240327T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Marcello Porta (SISSA)
DESCRIPTION:I will discuss the dynamics of many-body Fermi gases\, in the m
 ean-field regime. I will consider a class of initial data which are close
  enough to quasi-free states\, with a non-zero pairing matrix. Assuming a 
 suitable semiclassical structure for the initial datum\, expected to hold
  at low enough energy and that we can establish for translation-invariant 
 states\, I will present a theorem that shows that the many-body evolution
  of the system can be well approximated by the Hartree-Fock-Bogoliubov equ
 ation\, a non-linear effective evolution equation describing the coupled 
 dynamics of the reduced one-particle density matrix and of the pairing ma
 trix. Joint work with Stefano Marcantoni (Nice) and Julien Sabin (Rennes).
X-ALT-DESC:<p>I will discuss the dynamics of many-body Fermi gases\, in the
  mean-field regime. I will consider a class of initial data which are&nbsp
 \;close enough to quasi-free states\, with a non-zero pairing matrix. Assu
 ming a suitable semiclassical structure for the initial datum\,&nbsp\;expe
 cted to hold at low enough energy and that we can establish for translatio
 n-invariant states\, I will present a theorem that shows that&nbsp\;the ma
 ny-body evolution of the system can be well approximated by the Hartree-Fo
 ck-Bogoliubov equation\, a non-linear effective&nbsp\;evolution equation d
 escribing the coupled dynamics of the reduced one-particle density matrix 
 and of&nbsp\;the pairing matrix. Joint work with Stefano Marcantoni (Nice)
  and Julien Sabin (Rennes).</p>
DTEND;TZID=Europe/Zurich:20240327T153000
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