Eigenstate entanglement entropy in the integrable spin-$\frac{1}{2} XYZ$ model

Świętek, Rafał (avtor), Kliczkowski, Maksymilian (avtor), Vidmar, Lev (avtor), Rigol, Marcos (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: statistical physics
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Različica publikacije: Recenzirani rokopis
• Datum objave: 20.02.2024
• Leto izida: 2024
• Št. strani: Str. 024117-1-024117-9
• Številčenje: Vol. 109, iss. 2
• PID: 20.500.12556/RUL-155999
• UDK: 536.9
• ISSN pri članku: 2470-0045
• DOI: 10.1103/PhysRevE.109.024117
• COBISS.SI-ID: 193905923
• Datum objave v RUL: 26.04.2024

ŚWIĘTEK, Rafał, KLICZKOWSKI, Maksymilian, VIDMAR, Lev in RIGOL, Marcos, 2024, Eigenstate entanglement entropy in the integrable spin-$\frac{1}{2} XYZ$ model. Physical review [na spletu]. 2024. Vol. 109, no. 2, p. 024117-1- 024117–9. [Dostopano 10 april 2025]. DOI 10.1103/PhysRevE.109.024117. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=155999

Gradivo je del revije

• Naslov: Physical review
• Skrajšan naslov: Phys. rev., E
• Založnik: American Physical Society
• ISSN: 2470-0045
• COBISS.SI-ID: 2048366611

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: statistična fizika