The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Finite temperature entanglement negativity in conformal field theory
Open accessAbstract
We consider the logarithmic negativity of a finite interval embedded in an infinite one dimensional system at finite temperature. We focus on conformal invariant systems and we show that the naive approach based on the calculation of a two-point function of twist fields in a cylindrical geometry yields a wrong result. The correct result is obtained through a four-point function of twist fields in which two auxiliary fields are inserted far away from the interval, and they are sent to infinity only after having taken the replica limit. In this way, we find a universal scaling form for the finite temperature negativity which depends on the full operator content of the theory and not only on the central charge. In the limit of low and high temperatures, the expansion of this universal form can be obtained by means of the operator product expansion. We check our results against exact numerical computations for the critical harmonic chain.
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Cites
Ryu, S., & Takayanagi, T. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.181602 · Cited by 4,302
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Self-citationEntanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Entanglement entropy and conformal field theory
Calabrese, P., & Cardy, J. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504005 · Cited by 1,688 · cited 3×
“where in particular one should notice the dependence on π β l sinh 2 instead of π β l sinh obtained on the infinite line (analogously to the entanglement entropy [3, 5]).”
BackgroundMethodSelf-citationVidal, G. (2000) · Journal of Modern Optics · doi:10.1080/09500340008244048 · Cited by 821
Entanglement and alpha entropies for a massive Dirac field in two dimensions
Casini, H., Fosco, C. D., & Huerta, M. (2005) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2005/07/p07007 · Cited by 293
Cited by
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Metadata
- Authors
- Calabrese, P., Cardy, J., & Tonni, E.
- Venue
- Journal of Physics A: Mathematical and Theoretical
- Publisher
- IOP Publishing
- Published
- 2014-12-08
- Volume
- 48
- Issue
- 1
- Pages
- 015006
- ISSN
- 1751-8113 (ISSN-L)
- 1751-8121
- OpenAlex
- W2014643986
- Cited by
- 182
- References
- 7
- FWCI
- 6.99
- Type
- journal article
- Language
- en
- Open access
- bronze
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