The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Locality in Quantum and Markov Dynamics on Lattices and Networks
Open accessAbstract
We consider gapped systems governed by either quantum or Markov dynamics, with the low-lying states below the gap being approximately degenerate. For a broad class of dynamics, we prove that ground or stationary state correlation functions can be written as a piece decaying exponentially in space plus a term set by matrix elements between the low-lying states. The key to the proof is a local approximation to the negative energy, or annihilation, part of an operator in a gapped system. Applications to numerical simulation of quantum systems and to networks are discussed.
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Cites
Finding and evaluating community structure in networks
Newman, M. E. J., & Girvan, M. (2004) · Physical Review E · doi:10.1103/physreve.69.026113 · Cited by 13,931
The finite group velocity of quantum spin systems
Lieb, E. H., & Robinson, D. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01645779 · Cited by 1,463
Cited by
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
Verstraete, F., Murg, V., & Cirac, J. I. (2008) · Advances in Physics · doi:10.1080/14789940801912366 · Cited by 1,762
An area law for one-dimensional quantum systems
Hastings, M. B. (2007) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2007/08/p08024 · Cited by 1,131
Self-citationMatrix product states represent ground states faithfully
Verstraete, F., & Cirac, J. I. (2006) · Physical Review B · doi:10.1103/physrevb.73.094423 · Cited by 730
Lieb-Robinson Bounds and the Generation of Correlations and Topological Quantum Order
Bravyi, S., Hastings, M. B., & Verstraete, F. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.050401 · Cited by 664
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Metadata
- Authors
- Hastings, M. B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-09-28
- Volume
- 93
- Issue
- 14
- Pages
- 140402-140402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2021447576
- Cited by
- 171
- References
- 2
- FWCI
- 4.10
- Type
- journal article
- Language
- en
- Open access
- green
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