ENTANGLEMENT ENTROPY AND QUANTUM FIELD THEORY: A NON-TECHNICAL INTRODUCTION

By Pasquale Calabrese, J. Cardy. 2005

248 citations recorded by the source corpus.

We give a pedagogical and non-technical introduction to the quantum field theory approach to entanglement entropy. Particular attention is devoted to the one space dimensional case, with a linear dispersion relation, that, at a quantum critical point, can be effectively described by a two-dimensional conformal field theory.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f2b7e19d2d6e3fdde34a1281f580c3a2cb9b74f2

How researchers see this paper

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

In Artificial Intelligence

1. R. Myers
2. T. Takayanagi
3. T. Nishioka
4. A. Singh
5. S. Ryu
6. M. Rangamani
7. V. Hubeny
8. M. Smolkin

In Atomic and Molecular Physics, and Optics

1. T. Takayanagi
2. R. Myers
3. T. Nishioka
4. V. Hubeny
5. M. Rangamani
6. S. Ryu
7. H. Casini
8. M. Huerta

In Statistical and Nonlinear Physics

1. R. Myers
2. T. Takayanagi
3. V. Hubeny
4. T. Nishioka
5. M. Rangamani
6. Ling-Yan Hung
7. M. Smolkin
8. A. Singh

Citations in the corpus

• Entanglement entropy and conformal field theory (2009, unknown): “However, calculating the full reduced density matrix for a generic interacting quantum field theory remains a daunting challenge from an operational point of view, and so here we will take a different route, following our previous papers [3, 11, 12, 13].”
• Towards a derivation of holographic entanglement entropy (2011, methodology): “A standard approach to calculating entanglement entropy in field theory makes use of the replica trick [2, 12].”
• Aspects of Holographic Entanglement Entropy (2006, methodology): “29) is reduced to the known result [1, 2] SA = c 3 · log (”
• Entanglement as a probe of confinement (2007, background): “[ 2 ] for a recent review and references to earlier work).”
• Comments on holographic entanglement entropy and RG flows (2012, methodology): “Further, for a two-dimensional CFT, the entanglement entropy is given by [4–6]”
• Relative entropy and holography (2013, background): “For example, in condensed matter theory, it can be used to distinguish new topological phases or different critical points [1, 2].”
• Circuit complexity in quantum field theory (2017, unknown): “In other words, we are asking what is the new calculation of complexity which is the analog of Calabrese and Cardy’s replica trick for entanglement entropy.”
• Holographic entanglement entropy in Lovelock gravities (2011, background): “Finally, the results of this section can be helpful in extending the proposal of [26] to CFTs of higher dimensionality.”
• On holographic entanglement entropy and higher curvature gravity (2011, methodology): “A standard approach to calculating entanglement entropy (EE) makes use of the replica trick [6, 10].”
• Entanglement entropy from a holographic viewpoint (2012, background): “In a two-dimensional CFT on a half-line, SA behaves as follows [38, 21, 22]: SA = c 6 log l”