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DTSTART:19810329T020000
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UID:news1506@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20240417T154543
DTSTART;TZID=Europe/Zurich:20230505T172000
SUMMARY:BZ Seminar in Analysis: Serena Cenatiempo (GSSI L'Aquila)
DESCRIPTION:In the last decades\, since the first experimental realizations
  of Bose-Einstein condensates\, the study of large bosonic systems has bee
 n a very active field of research both in physics and in mathematics. In t
 his talk we address a question strictly related to condensation\, namely t
 he characterization of macroscopic observables. More precisely\, we consid
 er dilute Bose gases and we focus on the second order asymptotic expansion
  for the ground state energy\, which is believed to exhibit a universal be
 haviour\, independent on the detail of the interaction. We present a new u
 pper bound for a dilute gas of hard core bosons in the thermodynamic limit
 \, where the number of particles and the size of the box are sent to infin
 ity while keeping the density fixed. Our result resolves the ground state 
 energy up to an error of the order of the sub-leading correction. We also 
 discuss the Gross-Pitaevskii regime\, in which N hard spheres with radius 
 of order 1/N move on the unit torus\; in this setting\, we show an upper b
 ound for the energy\, capturing the correct second order correction. Based
  on joint works with G. Basti\, A. Giuliani\, A. Olgiati\, G. Pasqualetti\
 , B. Schlein.
X-ALT-DESC:<p>In the last decades\, since the first experimental realizatio
 ns of Bose-Einstein condensates\, the study of large bosonic systems has b
 een a very active field of research both in physics and in mathematics. In
  this talk we address a question strictly related to condensation\, namely
  the characterization of macroscopic observables. More precisely\, we cons
 ider dilute Bose gases and we focus on the second order asymptotic expansi
 on for the ground state energy\, which is believed to exhibit a universal 
 behaviour\, independent on the detail of the interaction.<br /> We present
  a new upper bound for a dilute gas of hard core bosons in the thermodynam
 ic limit\, where the number of particles and the size of the box are sent 
 to infinity while keeping the density fixed. Our result resolves the groun
 d state energy up to an error of the order of the sub-leading correction. 
 We also discuss the Gross-Pitaevskii regime\, in which N hard spheres with
  radius of order 1/N move on the unit torus\; in this setting\, we show an
  upper bound for the energy\, capturing the correct second order correctio
 n.<br /> Based on joint works with G. Basti\, A. Giuliani\, A. Olgiati\, G
 . Pasqualetti\, B. Schlein.</p>
DTEND;TZID=Europe/Zurich:20230505T182000
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