The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
Open accessAbstract
We analyze the finite-size scaling exponents in the Lipkin-Meshkov-Glick model by means of the Holstein-Primakoff representation of the spin operators and the continuous unitary transformations method. This combination allows us to exactly compute the leading corrections to the ground-state energy, the gap, the magnetization, and the two-spin correlation functions. We also present numerical calculations for large system size which confirm the validity of this approach. Finally, we use these results to discuss the entanglement properties of the ground state focusing on the (rescaled) concurrence that we compute in the thermodynamical limit.
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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
Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
Holstein, T., & Primakoff, H. (1940) · Physical Review · doi:10.1103/physrev.58.1098 · Cited by 4,053
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
Interacting Electrons and Quantum Magnetism
Auerbach, A. (1994) · Graduate Texts in Contemporary Physics · doi:10.1007/978-1-4612-0869-3 · Cited by 1,738
Validity of many-body approximation methods for a solvable model
Lipkin, H. J., Meshkov, N., & Glick, A. J. (1965) · Nuclear Physics · doi:10.1016/0029-5582(65)90862-x · Cited by 1,504
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
Chaos and the quantum phase transition in the Dicke model
Emary, C., & Brandes, T. (2003) · Physical Review E · doi:10.1103/physreve.67.066203 · Cited by 774
Flow‐equations for Hamiltonians
Wegner, F. (1994) · Annalen der Physik · doi:10.1002/andp.19945060203 · Cited by 694
Renormalization of Hamiltonians
Głazek, S. D., & Wilson, K. G. (1993) · Physical Review D · doi:10.1103/physrevd.48.5863 · Cited by 494
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
Albash, T., & Lidar, D. A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015002 · Cited by 1,546
Ma, J., Wang, X., Sun, C. P., & Nori, F. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.08.003 · Cited by 846
Quantum simulation of frustrated Ising spins with trapped ions
Kim, K., Chang, M.-S., Korenblit, S., Islam, R., Edwards, E. E., Freericks, J. K., Lin, G.-D., Duan, L.-M., & Monroe, C. (2010) · Nature · doi:10.1038/nature09071 · Cited by 750
FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
GU, S.-J. (2010) · International Journal of Modern Physics B · doi:10.1142/s0217979210056335 · Cited by 663
Metadata
- Authors
- Dusuel, S., & Vidal, J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2005-06-24
- Volume
- 71
- Issue
- 22
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2006204923
- Cited by
- 253
- References
- 51
- FWCI
- 8.81
- Type
- journal article
- Language
- en
- Open access
- green
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