The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Non-local propagation of correlations in quantum systems with long-range interactions
Open accessAbstract
The maximum speed with which information can propagate in a quantum many-body system directly affects how quickly disparate parts of the system can become correlated and how difficult the system will be to describe numerically. For systems with only short-range interactions, Lieb and Robinson derived a constant-velocity bound that limits correlations to within a linear effective ‘light cone’. However, little is known about the propagation speed in systems with long-range interactions, because analytic solutions rarely exist and because the best long-range bound is too loose to accurately describe the relevant dynamical timescales for any known spin model. Here we apply a variable-range Ising spin chain Hamiltonian and a variable-range XY spin chain Hamiltonian to a far-from-equilibrium quantum many-body system and observe its time evolution. For several different interaction ranges, we determine the spatial and time-dependent correlations, extract the shape of the light cone and measure the velocity with which correlations propagate through the system. This work opens the possibility for studying a wide range of many-body dynamics in quantum systems that are otherwise intractable.
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Cites
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Rigol, M., Dunjko, V., Yurovsky, V., & Olshanii, M. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.050405 · Cited by 1,578
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
Time Dependence of Correlation Functions Following a Quantum Quench
Calabrese, P., & Cardy, J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.136801 · Cited by 1,190
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
Multiparticle Entanglement of Hot Trapped Ions
Mølmer, K., & Sørensen, A. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1835 · Cited by 1,019
Effective Quantum Spin Systems with Trapped Ions
Porras, D., & Cirac, J. I. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.207901 · Cited by 872
Light-cone-like spreading of correlations in a quantum many-body system
Cheneau, M., Barmettler, P., Poletti, D., Endres, M., Schauß, P., Fukuhara, T., Gross, C., Bloch, I., Kollath, C., & Kuhr, S. (2012) · Nature · doi:10.1038/nature10748 · Cited by 864
Quasiparticle engineering and entanglement propagation in a quantum many-body system
Jurcevic, P., Lanyon, B. P., Hauke, P., Hempel, C., Zoller, P., Blatt, R., & Roos, C. F. (2014) · Nature · doi:10.1038/nature13461 · Cited by 863
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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Trapped-ion quantum computing: Progress and challenges
Bruzewicz, C. D., Chiaverini, J., McConnell, R., & Sage, J. M. (2019) · Applied Physics Reviews · doi:10.1063/1.5088164 · Cited by 1,483
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Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255
Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
Zhang, J., Pagano, G., Hess, P. W., Kyprianidis, A., Becker, P., Kaplan, H., Gorshkov, A. V., Gong, Z.-X., & Monroe, C. (2017) · Nature · doi:10.1038/nature24654 · Cited by 1,079
Self-citationMany-body localization in a quantum simulator with programmable random disorder
Smith, J., Lee, A., Richerme, P., Neyenhuis, B., Hess, P. W., Hauke, P., Heyl, M., Huse, D. A., & Monroe, C. (2016) · Nature Physics · doi:10.1038/nphys3783 · Cited by 915
Self-citationQuasiparticle engineering and entanglement propagation in a quantum many-body system
Jurcevic, P., Lanyon, B. P., Hauke, P., Hempel, C., Zoller, P., Blatt, R., & Roos, C. F. (2014) · Nature · doi:10.1038/nature13461 · Cited by 863
Metadata
- Authors
- Richerme, P., Gong, Z.-X., Lee, A., Senko, C., Smith, J., Foss-Feig, M., Michalakis, S., Gorshkov, A. V., & Monroe, C.
- Venue
- Nature
- Published
- 2014-07-09
- Volume
- 511
- Issue
- 7508
- Pages
- 198-201
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2003464774
- Cited by
- 788
- References
- 35
- FWCI
- 37.27
- Type
- journal article
- Language
- en
- Open access
- green
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- Richerme, P., Gong, Z.-X., Lee, A., Senko, C., Smith, J., Foss-Feig, M., Michalakis, S., Gorshkov, A. V., & Monroe, C. (2014). Non-local propagation of correlations in quantum systems with long-range interactions. Nature. https://doi.org/10.1038/nature13450
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