BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Erik Tonni (SISSA)
DTSTART:20220718T090000Z
DTEND:20220718T100000Z
DTSTAMP:20260423T024455Z
UID:IPHT-PHM/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IPHT-PHM/8/"
 >Entanglement entropies for Lifshitz fermionic fields at finite density</a
 >\nby Erik Tonni (SISSA) as part of Séminaire de physique mathématique I
 PhT\n\nLecture held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisi
 ers.\n\nAbstract\nThe entanglement entropies of an interval for the free f
 ermionic spinless Schroedinger field theory at finite density and zero tem
 perature are investigated. The interval is either on the line or at the be
 ginning of the half line\, when either Neumann or Dirichlet boundary condi
 tions are imposed at the origin. We show that the entanglement entropies a
 re finite functions of a dimensionless parameter proportional to the area 
 of the rectangular region in the phase space identified by the Fermi momen
 tum and the length of the interval. \nFor the interval on the line\, the e
 ntanglement entropy is a monotonically increasing function. Instead\, for 
 the interval on the half line\, it displays an oscillatory behaviour relat
 ed to the Friedel oscillations of the mean particle density at the entangl
 ing point. \nBy employing the properties of the prolate spheroidal wave fu
 nctions or the expansions of the tau functions of the kernels occurring in
  the spectral problems\, determined by the two point function\, we find an
 alytic expressions for the expansions of the entanglement entropies in the
  asymptotic regimes of small and large area of the rectangular phase space
  region. Extending our analysis to a class of free fermionic Lifshitz mode
 ls\, we find that the parity of the Lifshitz exponent determines the prope
 rties of the bipartite entanglement.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/8/
END:VEVENT
END:VCALENDAR