The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Entanglement in the XY spin chain
Open accessAbstract
We consider the ground state of the XY model on an infinite chain at zero temperature. Following Bennett, Bernstein, Popescu, and Schumacher we use entropy of a sub-system as a measure of entanglement. Vidal, Latorre, Rico and Kitaev conjectured that von Neumann entropy of a large block of neighboring spins approaches a constant as the size of the block increases. We evaluated this limiting entropy as a function of anisotropy and transverse magnetic field. We used the methods based on integrable Fredholm operators and Riemann-Hilbert problem. The entropy is singular at phase transitions.
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Cites
Quantum information and computation
Bennett, C. H., & DiVincenzo, D. P. (2000) · Nature · doi:10.1038/35005001 · Cited by 3,263
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
Scaling of entanglement close to a quantum phase transition
Osterloh, A., Amico, L., Falci, G., & Fazio, R. (2002) · Nature · doi:10.1038/416608a · Cited by 1,860
Zanardi, P., & Rasetti, M. (1999) · Physics Letters A · doi:10.1016/s0375-9601(99)00803-8 · Cited by 1,006
Cited by
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
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
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Aspects of holographic entanglement entropy
Ryu, S., & Takayanagi, T. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/08/045 · Cited by 1,969
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
Metadata
- Authors
- Its, A. R., Jin, B.-Q., & Korepin, V. E.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 2005-03-15
- Volume
- 38
- Issue
- 13
- Pages
- 2975-2990
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2020764541
- Cited by
- 280
- References
- 4
- FWCI
- 15.98
- Type
- journal article
- Language
- en
- Open access
- green
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- Its, A. R., Jin, B.-Q., & Korepin, V. E. (2005). Entanglement in the XY spin chain. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/38/13/011
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