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SUMMARY:Oluwadara Ogunkoya (University of Alabama at Birmingham)
DTSTART:20210225T180000Z
DTEND:20210225T190000Z
DTSTAMP:20260423T053046Z
UID:Thouless/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Thouless/8/"
 >Entanglement Entropy Bounds in the Higher Spin XXZ Chain</a>\nby Oluwadar
 a Ogunkoya (University of Alabama at Birmingham) as part of UCI Mathematic
 al 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 $E_{K}:=K\\left(1-\\frac{2
 J}{\\Delta}\\right)$\, 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 $(2\\lflo
 or K/J\\rfloor-2)$.\n\nThis generalizes previous results by Beaud and Warz
 el as well as Abdul-Rahman\, Stolz and one of the authors (C. Fischbacher)
 \, who covered the spin-$1/2$ case.\n
LOCATION:https://researchseminars.org/talk/Thouless/8/
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