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Cited by 788

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 access
Richerme, Philip, Gong, Zhe-Xuan, Lee, Aaron, Senko, Crystal, Smith, Jacob, Foss-Feig, Michael, Michalakis, Spyridon, Gorshkov, Alexey V., Monroe, Christopher·2014·Nature

Abstract

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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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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CoChat. (2026). Citation check: Non-local propagation of correlations in quantum systems with long-range interactions. https://app.cochat.ai/papers/10.1038/nature13450
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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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