The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Quantum Phase Transitions and Bipartite Entanglement
Open accessAbstract
We develop a general theory of the relation between quantum phase transitions (QPTs) characterized by nonanalyticities in the energy and bipartite entanglement. We derive a functional relation between the matrix elements of two-particle reduced density matrices and the eigenvalues of general two-body Hamiltonians of d-level systems. The ground state energy eigenvalue and its derivatives, whose nonanalyticity characterizes a QPT, are directly tied to bipartite entanglement measures. We show that first-order QPTs are signaled by density matrix elements themselves and second-order QPTs by the first derivative of density matrix elements. Our general conclusions are illustrated via several quantum spin models.
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Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 18,842
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
Computable measure of entanglement
Vidal, G., & Werner, R. F. (2002) · Physical Review A · doi:10.1103/physreva.65.032314 · Cited by 4,896
Sachdev, S. (2000) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622540 · Cited by 3,408
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
Sachdev, S. (2006) · Encyclopedia of Mathematical Physics · doi:10.1016/b0-12-512666-2/00132-2 · Cited by 1,550
Entanglement 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
A Modern Course in Statistical Physics
Reichl, L. E., & Coppersmith, S. N. (1999) · Physics Today · doi:10.1063/1.882556 · Cited by 1,380
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
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
Albash, T., & Lidar, D. A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015002 · Cited by 1,546
Self-citationFIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
GU, S.-J. (2010) · International Journal of Modern Physics B · doi:10.1142/s0217979210056335 · Cited by 663
Classical correlation and quantum discord in critical systems
Sarandy, M. S. (2009) · Physical Review A · doi:10.1103/physreva.80.022108 · Cited by 549
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Metadata
- Authors
- Wu, L.-A., Sarandy, M. S., & Lidar, D. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-12-15
- Volume
- 93
- Issue
- 25
- Pages
- 250404-250404
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2051684182
- Cited by
- 485
- References
- 23
- FWCI
- 15.97
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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