DOI: 10.1007/s10955-006-9143-6. Propagation of Correlations in Quantum Lattice Systems

Propagation of Correlations in Quantum Lattice Systems

10.1007/s10955-006-9143-6

Crossref journal-article

Springer Science and Business Media LLC

Journal of Statistical Physics (297)

Bibliography

Nachtergaele, B., Ogata, Y., & Sims, R. (2006). Propagation of Correlations in Quantum Lattice Systems. Journal of Statistical Physics, 124(1), 1â13.

Authors 3

Bruno Nachtergaele (first)
Yoshiko Ogata (additional)
Robert Sims (additional)

References 11 Referenced 155

O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics. Volume 2., 2nd Edn. (Springer Verlag, 1997). (10.1007/978-3-662-03444-6)
S. Bravyi, M.B. Hastings and F. Verstraete, Lieb-Robinson bounds and the generation of correlations and toplogical quantum order, arXiv:quant-ph/0603121.
M. Cramer and J. Eisert, Correlations and spectral gap in harmonic quantum systems on generic lattices. New J. Phys. 871, (2006), arXiv:quant-ph/0509167. (10.1088/1367-2630/8/5/071)
J. Eisert and T. J. Osborne, General entanglement scaling laws from time evolution, arXiv:quant-phys/0603114.
M. B. Hastings, Locality in Quantum and Markov Dynamics on Lattices and Networks. Phys. Rev. Lett. 93, 140402 (2004). (10.1103/PhysRevLett.93.140402) / Phys. Rev. Lett. by M. B. Hastings (2004)
M. B. Hastings and T. Koma, Spectral Gap and Exponential Decay of Correlations, to appear in Commun. Math. Phys., arXiv:math-ph/0507008.
T. Matsui, Markov semigroups on UHF algebras. Rev. Math. Phys. 5, 587–600 (1993). (10.1142/S0129055X93000176) / Rev. Math. Phys. by T. Matsui (1993)
E. H. Lieb and D. W. Robinson, The Finite Group Velocity of Quantum Spin Systems. Commun. Math. Phys. 28, 251–257 (1972). (10.1007/BF01645779) / Commun. Math. Phys. by E. H. Lieb (1972)
B. Nachtergaele and R. Sims, Lieb-Robinson Bounds and the Exponential Clustering Theorem. Commun. Math. Phys. 265, 119–130 (2006), arXiv:math-ph/0506030 (10.1007/s00220-006-1556-1)
N. Schuch, J. I. Cirac and M. M. Wolf, Quantum states on harmonic lattices, arXiv:quant-ph/0509166.
B. Simon, The Statistical Mechanics of Lattice Gases, Volume I, (Princeton University Press, 1993). (10.1515/9781400863433)

Dates

Type	When
Created	19 years, 1 month ago (July 5, 2006, 8:11 p.m.)
Deposited	6 years, 2 months ago (June 2, 2019, 1:42 a.m.)
Indexed	3 days, 2 hours ago (Aug. 23, 2025, 9:17 p.m.)
Issued	19 years, 1 month ago (July 1, 2006)
Published	19 years, 1 month ago (July 1, 2006)
Published Online	19 years, 1 month ago (July 6, 2006)
Published Print	19 years, 1 month ago (July 1, 2006)

Funders 0

None

BibTeX

@article{Nachtergaele_2006, title={Propagation of Correlations in Quantum Lattice Systems}, volume={124}, ISSN={1572-9613}, url={http://dx.doi.org/10.1007/s10955-006-9143-6}, DOI={10.1007/s10955-006-9143-6}, number={1}, journal={Journal of Statistical Physics}, publisher={Springer Science and Business Media LLC}, author={Nachtergaele, Bruno and Ogata, Yoshiko and Sims, Robert}, year={2006}, month=jul, pages={1–13} }

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