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SUMMARY:Christoph Fischbacher (University of Alabama at Birmingham)
DTSTART:20210304T180000Z
DTEND:20210304T190000Z
DTSTAMP:20260423T053046Z
UID:Thouless/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Thouless/9/"
 >Entanglement Entropy Bounds in the Higher Spin XXZ Chain</a>\nby Christop
 h Fischbacher (University of Alabama at Birmingham) as part of UCI Mathema
 tical Physics\n\n\nAbstract\nWe consider the Heisenberg XXZ spin-$J$ chain
  ($J\\in\\mathbb{N}/2$) with anisotropy parameter $\\Delta$. Assuming that
  $\\Delta>2J$\, and introducing threshold energies $E_{K}:=K\\left(1-\\fra
 c{2J}{\\Delta}\\right)$\, we show that the bipartite entanglement entropy 
 (EE) of states belonging to any spectral subspace with energy less than $E
 _{K+1}$ satisfy a logarithmically corrected area law with prefactor $(2\\l
 floor K/J\\rfloor-2)$.\n\nThis generalizes previous results by Beaud and W
 arzel as well as Abdul-Rahman\, Stolz and C. Fischbacher\, who covered the
  spin-$1/2$ case.\n
LOCATION:https://researchseminars.org/talk/Thouless/9/
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