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SUMMARY:Cristina Caraci (Universität Zürich)
DTSTART:20240603T131500Z
DTEND:20240603T140000Z
DTSTAMP:20260423T052709Z
UID:MAS-MP/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAS-MP/75/">
 Third order corrections to the ground state energy of a Bose gas in the Gr
 oss-Pitaevskii regime.</a>\nby Cristina Caraci (Universität Zürich) as p
 art of Munich-Copenhagen-Santiago Mathematical Physics seminar\n\n\nAbstra
 ct\nWe consider a system of N bosons confined in a unit box with periodic 
 boundary conditions. We assume that the particles interact through a repul
 sive two-body potential with scattering length of order 1/N\, i.e. the Gro
 ss-Pitaevskii regime. We establish a precise bound for the ground state en
 ergy E(N) of the system. While the leading contribution\, of order N\, to 
 the energy has been known since the pioneering works of Lieb-Seiringer-Yng
 vason in the early 2000s\, and the second order (of order one) corrections
  were more recently first determined by Boccato-Brennecke-Cenatiempo-Schle
 in\, our estimate also resolves the next term in the asymptotic expansion 
 of E(N)\, which is of the order (log N)/N\, confirming Wu’s predictions 
 in 1959.\n\nBased on a joint work with Alessandro Olgiati\, Diane Saint Au
 bin and Benjamin Schlein.\n
LOCATION:https://researchseminars.org/talk/MAS-MP/75/
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