Improved scaling of the entanglement entropy of quantum antiferromagnetic Heisenberg systems

被引：10

作者：

Deng, Zehui ^{[1
,2
]}

Liu, Lu ^{[3
]}

Guo, Wenan ^{[1
,4
,5
]}

Lin, H. Q. ^{[1
,6
]}

机构：

[1] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China

[2] Nanchang Normal Univ, Nanchang 330032, Jiangxi, Peoples R China

[3] Beijing Inst Technol, Sch Phys, Beijing 100081, Peoples R China

[4] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China

[5] Minist Educ, Key Lab Multiscale Spin Phys, Beijing 100875, Peoples R China

[6] Zhejiang Univ, Dept Phys, Hangzhou 310027, Peoples R China

来源：

PHYSICAL REVIEW B | 2023年 / 108卷 / 12期

基金：

中国国家自然科学基金;

关键词：

FINITE-SIZE;

D O I：

10.1103/PhysRevB.108.125144

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we derive corrections to the subleading logarithmic term of the entanglement entropy in systems with spontaneous broken continuous symmetry. Using quantum Monte Carlo simulations, we show that the improved scaling formula leads to much better estimations of the number of Goldstone modes in the two-dimensional square lattice spin-1/2 Heisenberg model and bilayer spin-1/2 Heisenberg model in systems of rather small sizes, compared with previous results. In addition, the universal geometry-dependent finite constant in the entanglement entropy scaling is also obtained in good agreement with the theoretical value.

引用

页数：9

共 25 条

[1]

Metlitski MA, 2015, Arxiv, DOI arXiv:1112.5166

[2] Out-of-equilibrium protocol for Renyi entropies via the Jarzynski equality [J].

Alba, Vincenzo .

PHYSICAL REVIEW E, 2017, 95 (06)

[3] Entanglement entropy from non-equilibrium Monte Carlo simulations [J].

Bulgarelli, Andrea ;

Panero, Marco .

JOURNAL OF HIGH ENERGY PHYSICS, 2023, 2023 (06)

[4] Entanglement entropy and quantum field theory [J].

Calabrese, P ;

Cardy, J .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2004,

[5] Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences [J].

Crooks, GE .

PHYSICAL REVIEW E, 1999, 60 (03) :2721-2726

[6] Entanglement Entropy from Nonequilibrium Work [J].

D'Emidio, Jonathan .

PHYSICAL REVIEW LETTERS, 2020, 124 (11)

[7] FINITE-SIZE AND TEMPERATURE EFFECTS IN THE AF HEISENBERG-MODEL [J].

HASENFRATZ, P ;

NIEDERMAYER, F .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1993, 92 (01) :91-112

[8] Entanglement entropy scaling in the bilayer Heisenberg spin system [J].

Helmes, Johannes ;

Wessel, Stefan .

PHYSICAL REVIEW B, 2014, 89 (24)

[9] Quantum Monte Carlo calculation of entanglement Renyi entropies for generic quantum systems [J].

Humeniuk, Stephan ;

Roscilde, Tommaso .

PHYSICAL REVIEW B, 2012, 86 (23)

[10] Nonequilibrium equality for free energy differences [J].

Jarzynski, C .

PHYSICAL REVIEW LETTERS, 1997, 78 (14) :2690-2693

← 1 2 3 →