The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Entanglement witnesses in spin models
Open accessAbstract
We construct entanglement witnesses using fundamental quantum operators of spin models which contain two-particle interactions and have a certain symmetry. By choosing the Hamiltonian as such an operator, our method can be used for detecting entanglement by energy measurement. We apply this method to the Heisenberg model in a cubic lattice with a magnetic field, the $XY$ model, and other familiar spin systems. Our method provides a temperature bound for separable states for systems in thermal equilibrium. We also study the Bose-Hubbard model and relate its energy minimum for separable states to the minimum obtained from the Gutzwiller ansatz.
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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
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
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
Optimization of entanglement witnesses
Lewenstein, M., Kraus, B., Cirac, J. I., & Horodecki, P. (2000) · Physical Review A · doi:10.1103/physreva.62.052310 · Cited by 684
Experimental Detection of Multipartite Entanglement using Witness Operators
Bourennane, M., Eibl, M., Kurtsiefer, C., Gaertner, S., Weinfurter, H., Gühne, O., Hyllus, P., Bruß, D., Lewenstein, M., & Sanpera, A. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.087902 · Cited by 522
Cited by
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
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
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Self-citationEvolution of entanglement entropy in one-dimensional systems
Calabrese, P., & Cardy, J. (2005) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2005/04/p04010 · Cited by 1,295
Measuring multipartite entanglement through dynamic susceptibilities
Hauke, P., Heyl, M., Tagliacozzo, L., & Zoller, P. (2016) · Nature Physics · doi:10.1038/nphys3700 · Cited by 362
Metadata
- Authors
- Tóth, G.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-01-06
- Volume
- 71
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2095620539
- Cited by
- 184
- References
- 6
- FWCI
- 9.43
- Type
- journal article
- Language
- en
- Open access
- green
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