Entanglement Entropy in Quantum Field Theory
A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".
Deadline for manuscript submissions: closed (31 July 2025) | Viewed by 4448
Special Issue Editors
Interests: integrable quantum field theory; entanglement measures; out-of-equilibrium dynamics; form factor programme; TBA
Interests: out-of-equilibrium dynamics of isolated quantum systems; integrable quantum field theory; conformal field theory; truncated Hilbert space methods; cold atom experiments; entanglement and its dynamics in 1 dimensional systems; symmetry-resolved entanglement; the sine-Gordon theory
Special Issue Information
Dear Colleagues,
At the beginning of the 1990s, a series of works involving C. Callan, C. Holzhey, F. Larsen and F. Wilczek highlighted the universal properties of a measure of entanglement known as entanglement entropy. Their studies considered quantum corrections to black hole entropy and saw entropy in the context of geometry and gravity. Those results admitted also a more general interpretation as describing the quantum entanglement associated with quantum critical points, which in 1+1 dimensions are described by the conformal field theory (CFT). Drawing on the powerful mathematical structures underpinning CFT, it has since been possible to obtain many more universal results for a wide range of entanglement measures, ranging from the entanglement and Rényi entropies to the logarithmic negativity. There have been many contributions to this development, with the work of P. Calabrese and J. L. Cardy in 2004 playing a pivotal role in bringing these ideas to the low-dimensional quantum field theory (QFT) community. Later, this CFT viewpoint has been related to a picture emerging from the AdS/CFT correspondence, leading to the well-known relationship between entanglement entropy and the area minimal surfaces pioneered by S. Ryu and T. Takayanagi in 2006. Another frontier in this investigation has been the challenge of progressing beyond CFT, to describing universal properties of entanglement in the near-critical region described by massive QFT. For interacting integrable 1+1-dimensional QFTs, the branch point twist field approach, introduced by J.L. Cardy, O. A. Castro-Alvaredo and B. Doyon in 2007, has become a leading method to do just that. By relating entanglement measures to correlation functions of local fields, it has been possible to encapsulate the intricacies of entanglement measures into the problem of expanding multi-point correlation functions in terms of different parameters. This viewpoint has been further generalised to describe more recent entanglement measures such as the symmetry resolved entanglement, introduced by Goldstein and Sela in 2018, in terms of a composite twist field picture. The objective of this Special Issue is to bring together original contributions to this active area of research.
Dr. Olalla Castro-Alvaredo
Dr. David X. Horvath
Guest Editors
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Keywords
- entanglement measures
- quantum field theory
- conformal field theory
- quantum spin chains
- holography
- symmetry
- numerics
- exact results
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