Entanglement entropy in quantum impurity systems and systems with boundaries

被引:122
作者
Affleck, Ian [1 ]
Laflorencie, Nicolas [2 ]
Sorensen, Erik S. [3 ]
机构
[1] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada
[2] Univ Paris 11, CNRS, Phys Solides Lab, UMR 8502, F-91405 Orsay, France
[3] McMaster Univ, Dept Phys & Astron, Hamilton, ON L8S 4M1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
NEAREST-NEIGHBOR INTERACTION; BOND GROUND-STATES; EDGE EXCITATIONS; SCREENING CLOUD; SCALING THEORY; KONDO PROBLEM; HALL STATES; TRANSPORT; CHAINS; MODEL;
D O I
10.1088/1751-8113/42/50/504009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review research on a number of situations where a quantum impurity or a physical boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity entanglement as it occurs in one-dimensional systems with a single impurity or a boundary, in particular quantum spin models, but generalizations to higher dimensions are also reviewed. Recent advances in the understanding of impurity entanglement as it occurs in the spin-boson and Kondo impurity models are discussed along with the influence of boundaries. Particular attention is paid to (1 + 1)-dimensional models where analytical results can be obtained for the case of conformally invariant boundary conditions and a connection to topological entanglement entropy is made. New results for the entanglement in systems with mixed boundary conditions are presented. Analytical results for the entanglement entropy obtained from Fermi liquid theory are also discussed as well as several different recent definitions of the impurity contribution to the entanglement entropy.
引用
收藏
页数:36
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