The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Ground state entanglement in quantum spin chains
Abstract
A microscopic calculation of ground state entanglement for the XY and Heisenberg models shows the emergence of universal scaling behavior at quantum phase transitions. Entanglement is thus controlled by conformal symmetry. Away from the critical point, entanglement gets saturated by a mass scale. Results borrowed from conformal field theory imply irreversibility of entanglement loss along renormalization group trajectories. Entanglement does not saturate in higher dimensions which appears to limit the success of the density matrix renormalization group technique. A possible connection between majorization and renormalization group irreversibility emerges from our numerical analysis.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 18,842
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
Sachdev, S. (2000) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622540 · Cited by 3,408
Three qubits can be entangled in two inequivalent ways
Dür, W., Vidal, G., & Cirac, J. I. (2000) · Physical Review A · doi:10.1103/physreva.62.062314 · Cited by 3,384
Self-citationEntanglement in a simple quantum phase transition
Osborne, T. J., & Nielsen, M. A. (2002) · Physical Review A · doi:10.1103/physreva.66.032110 · Cited by 1,472
Callan, C., & Wilczek, F. (1994) · Physics Letters B · doi:10.1016/0370-2693(94)91007-3 · Cited by 826
Ohya, M., & Petz, D. (1993) · doi:10.1007/978-3-642-57997-4 · Cited by 764
Quantum Ising Phases and Transitions in Transverse Ising Models
Suzuki, S., Inoue, J.-I., & Chakrabarti, B. K. (2013) · Lecture Notes in Physics · doi:10.1007/978-3-642-33039-1 · Cited by 500
Black hole thermodynamics and information loss in two dimensions
Fiola, T. M., Preskill, J., Strominger, A., & Trivedi, S. P. (1994) · Physical Review D · doi:10.1103/physrevd.50.3987 · Cited by 242
Density Matrix Renormalization
Hallberg, K. (2006) · Springer eBooks · doi:10.1007/0-387-21717-7_1 · Cited by 108
Entanglement, Quantum Phase Transitions, and Density Matrix Renormalization
Osborne, T. J., & Nielsen, M. A. (2002) · Quantum Information Processing · doi:10.1023/a:1019601218492 · Cited by 95
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
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) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2004/06/p06002 · Cited by 3,275
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
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
- Latorre, J. I., Rico, E., & Vidal, G.
- Venue
- Quantum Information and Computation
- Publisher
- Rinton Press
- Published
- 2004-01
- Volume
- 4
- Issue
- 1
- Pages
- 48-92
- ISSN
- 1533-7146 (ISSN-L)
- OpenAlex
- W2950481832
- Cited by
- 409
- References
- 11
- FWCI
- 22.73
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.