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Topological entanglement entropy in Chern-Simons theories and quantum Hall fluids
Open accessAbstract
We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge theories in 2+1 dimensions using surgery. We use these results to determine the universal topological piece of the entanglement entropy for Abelian and non-Abelian quantum Hall fluids.
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Cites
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
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Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Entanglement 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
Composite-fermion approach for the fractional quantum Hall effect
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A Modular Functor Which is Universal¶for Quantum Computation
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Entropy of three-dimensional black holes in string theory
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Cited by
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Universal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure
Mong, R. S. K., Clarke, D. J., Alicea, J., Lindner, N. H., Fendley, P., Nayak, C., Oreg, Y., Stern, A., Berg, E., Shtengel, K., et al. (2014) · Physical Review X · doi:10.1103/physrevx.4.011036 · Cited by 366
From Luttinger liquid to non-Abelian quantum Hall states
Teo, J. C. Y., & Kane, C. L. (2014) · Physical Review B · doi:10.1103/physrevb.89.085101 · Cited by 261
Metadata
- Authors
- Dong, S., Fradkin, E., Leigh, R. G., & Nowling, S.
- Venue
- Journal of High Energy Physics
- Published
- 2008-05-07
- Volume
- 2008
- Issue
- 05
- Pages
- 016-016
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2161239035
- Cited by
- 214
- References
- 10
- FWCI
- 3.29
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Dong, S., Fradkin, E., Leigh, R. G., & Nowling, S. (2008). Topological entanglement entropy in Chern-Simons theories and quantum Hall fluids. Journal of High Energy Physics. https://doi.org/10.1088/1126-6708/2008/05/016
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
