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SUMMARY:Oleksandr Gamayun (Amsterdam U.)
DTSTART:20210211T151500Z
DTEND:20210211T170000Z
DTSTAMP:20260423T040008Z
UID:LIJC/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LIJC/30/">Mo
 deling finite-entropy states with free fermions</a>\nby Oleksandr Gamayun 
 (Amsterdam U.) as part of London Integrability Journal Club\n\n\nAbstract\
 nThe behavior of dynamical correlation functions in one-dimensional quantu
 m systems at zero temperature is now very well understood in terms of line
 ar and non-linear Luttinger models. The "microscopic" justification of the
 se models consists in exactly accounting for the soft-mode excitations aro
 und the vacuum state and at most a few high-energy excitations. At finite 
 temperature\, or more generically for finite entropy states\, this direct 
 approach is not strictly applicable due to the different structure of soft
  excitations. To address these issues we study the asymptotic behavior of 
 correlation functions in one-dimensional free fermion models. On the one h
 and\, we obtain exact answers in terms of Fredholm determinants. On the ot
 her hand\, based on "microscopic" numerical resummations\, we develop a ph
 enomenological approach that provides results depending only on the state-
 dependent dressing of the scattering phase. Our main example will be the s
 ine-kernel and correlation functions in XY model.\n
LOCATION:https://researchseminars.org/talk/LIJC/30/
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