Entanglement entropy in quantum impurity systems and systems with boundaries

By I. Affleck, N. Laflorencie, Erik S. Sørensen. 2009

135 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/d4a05bd575cbf4824cef445af48691ddd240e133

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. T. Nishioka
2. T. Takayanagi
3. S. Ryu
4. R. Myers
5. Pasquale Calabrese
6. J. Cardy
7. E. Tonni
8. Thomas Hartman

In Condensed Matter Physics

1. T. Takayanagi
2. T. Nishioka
3. J. Cardy
4. Pasquale Calabrese
5. S. Ryu
6. E. Tonni
7. Thomas Hartman
8. A. Allais

Citations in the corpus

• Holographic entanglement entropy: an overview (2009, methodology): “the presence of boundary in two-dimensional CFTs [138]. Actually, it also coincides with the finite part of the entanglement entropy which arises due to the presence of boundary [20] (for a review see [139]). By using this relation, a holographic calculation of boundary entropy has successfully been ”
• Entanglement entropy and conformal field theory (2009, methodology): “Other results for more general defects are known [49], but we remand to the review by Laflorencie et al in this issue [50] for an extensive discussion.”