The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Classical correlation and quantum discord in critical systems
Open accessAbstract
We discuss the behavior of quantum and classical pairwise correlations in critical systems, with the quantumness of the correlations measured by the quantum discord. We analytically derive these correlations for general real density matrices displaying ${Z}_{2}$ symmetry. As an illustration, we analyze both the $XXZ$ and the transverse field Ising models. Finite size as well as infinite chains are investigated and the quantum criticality is discussed. Moreover, we identify the spin functions that govern the correlations. As a further example, we also consider correlations in the Hartree-Fock ground state of the Lipkin-Meshkov-Glick model. It is then shown that both classical correlation and quantum discord exhibit signatures of the quantum phase transitions.
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Cites
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
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
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
Area Laws in Quantum Systems: Mutual Information and Correlations
Wolf, M. M., Verstraete, F., Hastings, M. B., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.070502 · Cited by 696
Cited by
The classical-quantum boundary for correlations: Discord and related measures
Modi, K., Brodutch, A., Cable, H., Paterek, T., & Vedral, V. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1655 · Cited by 1,600
Giorda, P., & Paris, M. G. A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.020503 · Cited by 490
Experimental investigation of the non-Markovian dynamics of classical and quantum correlations
Xu, J.-S., Li, C.-F., Zhang, C.-J., Xu, X.-Y., Zhang, Y.-S., & Guo, G.-C. (2010) · Physical Review A · doi:10.1103/physreva.82.042328 · Cited by 74
Quantum speed limit for a central system in Lipkin-Meshkov-Glick bath
Hou, L., Shao, B., & Zou, J. (2016) · The European Physical Journal D · doi:10.1140/epjd/e2016-60600-5 · Cited by 17
Metadata
- Authors
- Sarandy, M. S.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2009-08-12
- Volume
- 80
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2055754097
- Cited by
- 549
- References
- 6
- FWCI
- 30.30
- Type
- journal article
- Language
- en
- Open access
- green
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