R. Świętek (Author), M. Kliczkowski (Author), Lev Vidmar (Author), Marcos Rigol (Author)

Abstract

We study the average and the standard deviation of the entanglement entropy of highly excited eigenstates of the integrable interacting spin-$\frac{1}{2} XYZ$ chain away from and at special lines with $U(1)$ symmetry and supersymmetry. We universally find that the average eigenstate entanglement entropy exhibits a volume-law coefficient that is smaller than that of quantum-chaotic interacting models. At the supersymmetric point, we resolve the effect that degeneracies have on the computed averages. We further find that the normalized standard deviation of the eigenstate entanglement entropy decays polynomially with increasing system size, which we contrast with the exponential decay in quantum-chaotic interacting models. Our results provide state-of-the art numerical evidence that integrability in spin-$\frac{1}{2}$ chains reduces the average and increases the standard deviation of the entanglement entropy of highly excited energy eigenstates when compared with those in quantum-chaotic interacting models.

Keywords

statistična fizika;statistical physics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 536.9
COBISS: 193905923 Link will open in a new window
ISSN: 2470-0045
Views: 32
Downloads: 7
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: statistična fizika;
Type (COBISS): Article
Pages: str. 024117-1-024117-9
Volume: ǂVol. ǂ109
Issue: ǂiss. ǂ2
Chronology: 2024
DOI: 10.1103/PhysRevE.109.024117
ID: 23530192