ENTANGLEMENT PROPERTIES OF QUANTUM MANY-BODY WAVE FUNCTIONS

被引：0
|
作者：
Clark, J. W. [1 ]
Mandilara, A. [2 ]
Ristig, M. L. [3 ]
Kuerten, K. E. [4 ]
机构：
[1] Washington Univ, Dept Phys, St Louis, MO 63130 USA
[2] Univ Brussels, Ecole Polytech, Quantum Informat & Commun, B-1050 Brussels, Belgium
[3] Univ Cologne, Inst Theoret, D-50937 Cologne, Germany
[4] Univ Vienna, Inst Expermentalphys, A-1090 Vienna, Austria
来源：
CONDENSED MATTER THEORIES, VOL 24 | 2010年
基金：
美国国家科学基金会;
关键词：
Entanglement measures; strong correlations; transverse Ising model; Jastrow wave functions; quantum phase transitions; COUPLED-CLUSTER METHOD; GROUND-STATE; EXCITED-STATES; ISING-MODEL; SYSTEMS; LIQUID-HE-4; FIELD;
D O I：
10.1142/9789814289153_0008
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
The entanglement properties of correlated wave functions commonly employed in theories of strongly correlated many-body systems are studied. The variational treatment of the transverse Ising model within correlated-basis theory is reviewed, and existing calculations of the one- and two-body reduced density matrices are used to evaluate or estimate established measures of bipartite entanglement, including the Von Neumann entropy, the concurrence, and localizable entanglement, for square, cubic, and hypercubic lattice systems. The results discussed in relation to the findings of previous studies that explore the relationship of entanglement behaviors to quantum critical phenomena and quantum phase transitions. It is emphasized that Jastrow-correlated wave functions and their extensions contain multipartite entanglement to all orders.
引用
收藏
页码：105 / +
页数：3
相关论文
共 50 条
  • [1] ENTANGLEMENT PROPERTIES OF QUANTUM MANY-BODY WAVE FUNCTIONS
    Clark, J. W.
    Mandilara, A.
    Ristig, M. L.
    Kuerten, K. E.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (20-21): : 4041 - 4057
  • [2] Entanglement patterns and generalized correlation functions in quantum many-body systems
    Barcza, G.
    Noack, R. M.
    Solyom, J.
    Legeza, Oe
    PHYSICAL REVIEW B, 2015, 92 (12)
  • [3] Many-Body Quantum Chaos and Entanglement in a Quantum Ratchet
    Valdez, Marc Andrew
    Shchedrin, Gavriil
    Heimsoth, Martin
    Creffield, Charles E.
    Sols, Fernando
    Carr, Lincoln D.
    PHYSICAL REVIEW LETTERS, 2018, 120 (23)
  • [4] Measuring the distance between quantum many-body wave functions
    Chen, Xiao
    Zhou, Tianci
    Xu, Cenke
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2018,
  • [5] Aspects of Entanglement in Quantum Many-Body Systems
    John W. Clark
    Hessam Habibian
    Aikaterini D. Mandilara
    Manfred L. Ristig
    Foundations of Physics, 2010, 40 : 1200 - 1220
  • [6] Aspects of Entanglement in Quantum Many-Body Systems
    Clark, John W.
    Habibian, Hessam
    Mandilara, Aikaterini D.
    Ristig, Manfred L.
    FOUNDATIONS OF PHYSICS, 2010, 40 (9-10) : 1200 - 1220
  • [7] Entanglement dynamics in quantum many-body systems
    Ho, Wen Wei
    Abanin, Dmitry A.
    PHYSICAL REVIEW B, 2017, 95 (09)
  • [8] Dynamics and geometry of entanglement in many-body quantum systems
    Azodi, Peyman
    Rabitz, Herschel A.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2025,
  • [9] Quantum Zeno effect and the many-body entanglement transition
    Li, Yaodong
    Chen, Xiao
    Fisher, Matthew P. A.
    PHYSICAL REVIEW B, 2018, 98 (20)
  • [10] Measuring entanglement entropy in a quantum many-body system
    Islam, Rajibul
    Ma, Ruichao
    Preiss, Philipp M.
    Tai, M. Eric
    Lukin, Alexander
    Rispoli, Matthew
    Greiner, Markus
    NATURE, 2015, 528 (7580) : 77 - 83
12345