Volume law for the entanglement entropy in non-local QFTs

被引:53
|
作者
Shiba, Noburo [1 ]
Takayanagi, Tadashi [1 ,2 ]
机构
[1] Kyoto Univ, YITP, Kyoto 6068502, Japan
[2] Univ Tokyo, Kavli Inst Phys & Math Univ, Kashiwa, Chiba 2778582, Japan
来源
关键词
AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT); Renormalization Group; Lattice Quantum Field Theory;
D O I
10.1007/JHEP02(2014)033
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In this paper, we present a simple class of non-local field theories whose ground state entanglement entropy follows a volume law as long as the size of subsystem is smaller than a certain scale. We will confirm this volume law both from numerical calculations and from analytical estimation. This behavior fits nicely with holographic results for spacetimes whose curvatures are much smaller than AdS spaces such as those in the flat spacetime.
引用
收藏
页数:16
相关论文
共 50 条
  • [11] A generalized volume law for entanglement entropy on the fuzzy sphere
    Suzuki, Mariko
    Tsuchiya, Asato
    [J]. PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2017, 2017 (04):
  • [12] Remarks on entanglement measures and non-local state distinguishability
    Eisert, J
    Audenaert, K
    Plenio, MB
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (20): : 5605 - 5615
  • [13] Entanglement in Non-local Games and the Hyperlinear Profile of Groups
    William Slofstra
    Thomas Vidick
    [J]. Annales Henri Poincaré, 2018, 19 : 2979 - 3005
  • [14] Entanglement in Non-local Games and the Hyperlinear Profile of Groups
    Slofstra, William
    Vidick, Thomas
    [J]. ANNALES HENRI POINCARE, 2018, 19 (10): : 2979 - 3005
  • [15] Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals
    Eisler, Viktor
    Tonni, Erik
    Peschel, Ingo
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2022, 2022 (08):
  • [16] TRAVELING WAVES OF A NON-LOCAL CONSERVATION LAW
    Chen, Xinfu
    Jiang, Huiqiang
    [J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2012, 25 (11-12) : 1143 - 1174
  • [17] Holographic study of TT like deformed HV QFTs: holographic entanglement entropy
    Jeong, Hyun-Sik
    Pan, Wen-Bin
    Sun, Ya-Wen
    Wang, Yuan-Tai
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2023, (02):
  • [18] Experimental Non-Local Generation of Entanglement from Independent Sources
    Jin Xian-Min
    Juegen, Roech
    Yin Juan
    Yang Tao
    [J]. CHINESE PHYSICS LETTERS, 2009, 26 (07)
  • [19] Extended non-local games and monogamy-of-entanglement games
    Johnston, Nathaniel
    Mittal, Rajat
    Russo, Vincent
    Watrous, John
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 472 (2189):
  • [20] Probabilistic implementation of non-local CNOT operation and entanglement purification
    Zheng, YZ
    Ye, P
    Guo, GC
    [J]. CHINESE PHYSICS LETTERS, 2004, 21 (01) : 9 - 11