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Eigenstate entanglement entropy in the integrable spin-$\frac{1}{2} XYZ$ model
ID
Świętek, R.
(
Author
),
ID
Kliczkowski, M.
(
Author
),
ID
Vidmar, Lev
(
Author
),
ID
Rigol, Marcos
(
Author
)
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MD5: 0514379A81AE181ED5EA8A3A4F5B2675
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https://journals.aps.org/pre/abstract/10.1103/PhysRevE.109.024117
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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.
Language:
English
Keywords:
statistical physics
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
FMF - Faculty of Mathematics and Physics
Publication version:
Author Accepted Manuscript
Publication date:
20.02.2024
Year:
2024
Number of pages:
Str. 024117-1-024117-9
Numbering:
Vol. 109, iss. 2
PID:
20.500.12556/RUL-155999
UDC:
536.9
ISSN on article:
2470-0045
DOI:
10.1103/PhysRevE.109.024117
COBISS.SI-ID:
193905923
Publication date in RUL:
26.04.2024
Views:
270
Downloads:
44
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Record is a part of a journal
Title:
Physical review
Shortened title:
Phys. rev., E
Publisher:
American Physical Society
ISSN:
2470-0045
COBISS.SI-ID:
2048366611
Secondary language
Language:
Slovenian
Keywords:
statistična fizika
Projects
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0044-2022
Name:
Teorija trdnih snovi in statistična fizika
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
N1-0273-2023
Name:
Neergodična dinamika v sistemih brez nereda
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
J1-50005-2023
Name:
Fazni prehodi z zlomom ergodičnosti
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