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SUMMARY:Matthew Lapa (University of Chicago)
DTSTART:20210607T183000Z
DTEND:20210607T193000Z
DTSTAMP:20260423T040041Z
UID:Kadanoff/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Kadanoff/43/
 ">Momentum occupation number bounds for interacting fermions</a>\nby Matth
 ew Lapa (University of Chicago) as part of Kadanoff seminars\n\n\nAbstract
 \nI will present rigorous bounds on the momentum occupation numbers in tra
 nslation invariant free fermion models perturbed by Hubbard interactions a
 nd a non-uniform potential. In particular\, at finite temperature I will p
 resent a bound on the deviation of the momentum occupation numbers from th
 e non-interacting Fermi-Dirac distribution. Among other things\, this boun
 d shows that the momentum distribution is very close to that of a low-temp
 erature free Fermi gas in the regime where interaction strength << kT << F
 ermi energy. This work is motivated by Luttinger’s theorem and related r
 ecent work on the momentum space picture of interacting fermions. While th
 ose results are interesting\, their derivations rely on various assumption
 s\, and such strong results are unlikely to hold for generic models of int
 eracting fermions. In contrast to this situation\, the results that I will
  present hold for concrete models and can serve as a useful starting point
  for understanding the physics of interacting fermions.\n
LOCATION:https://researchseminars.org/talk/Kadanoff/43/
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