The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Entanglement spectrum in one-dimensional systems
Open accessAbstract
We derive the distribution of eigenvalues of the reduced density matrix of a block of length $\ensuremath{\ell}$ in a one-dimensional system in the scaling regime. The resulting ``entanglement spectrum'' is described by a universal scaling function depending only on the central charge of the underlying conformal field theory. This prediction is checked against exact results for the $XX$ chain. We also show how the entanglement gap closes when $\ensuremath{\ell}$ is large.
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Cites
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
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
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
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
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
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
“• The ratio of the first two eigenvalues (see [102] for details) is λ2 λmax = e = e 6k c ln(l/a) , (71)”
BackgroundMethodSelf-citationTowards a derivation of holographic entanglement entropy
Casini, H., Huerta, M., & Myers, R. C. (2011) · Journal of High Energy Physics · doi:10.1007/jhep05(2011)036 · Cited by 1,347
Entanglement spectrum of a topological phase in one dimension
Pollmann, F., Turner, A. M., Berg, E., & Oshikawa, M. (2010) · Physical Review B · doi:10.1103/physrevb.81.064439 · Cited by 1,341
Relative entropy and holography
Blanco, D. D., Casini, H., Hung, L.-Y., & Myers, R. C. (2013) · Journal of High Energy Physics · doi:10.1007/jhep08(2013)060 · Cited by 375
Metadata
- Authors
- Calabrese, P., & Lefevre, A.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2008-09-23
- Volume
- 78
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2088459250
- Cited by
- 399
- References
- 5
- FWCI
- 9.47
- Type
- journal article
- Language
- en
- Open access
- green
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