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Non-local propagation of correlations in quantum systems with long-range interactions

Richerme, Philip and Gong, Zhe-Xuan and Lee, Aaron and Senko, Crystal and Smith, Jacob and Foss-Feig, Michael and Michalakis, Spyridon and Gorshkov, Alexey V. and Monroe, Christopher (2014) Non-local propagation of correlations in quantum systems with long-range interactions. Nature, 511 (7508). pp. 198-201. ISSN 0028-0836. doi:10.1038/nature13450.

[img] Image (JPEG) (Extended Data Figure 1: A long-time partial revival in the long-range Ising model.) - Supplemental Material
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[img] Image (JPEG) (Extended Data Figure 2: Numeric calculation of XY model correlations.) - Supplemental Material
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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.

Item Type:Article
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URLURL TypeDescription ReadCube access
Michalakis, Spyridon0000-0003-4963-1156
Gorshkov, Alexey V.0000-0003-0509-3421
Additional Information:© 2014 Macmillan Publishers Limited. Received 21 January 2014. Accepted 28 April 2014. Published online 09 July 2014. We thank J. Preskill, A. M. Rey, K. Hazzard, A. Daley, J. Schachenmayer, M. Kastner, S. Manmana and L.-M. Duan for discussions. This work is supported by the US Army Research Office (ARO) Award W911NF0710576 with funds from the DARPA Optical Lattice Emulator Program, ARO award W911NF0410234 with funds from the IARPA MQCO Program, and the US NSF Physics Frontier Center at JQI. M.F.-F. thanks the NRC for support. S.M. acknowledges funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontier Center with the support of the Gordon and Betty Moore Foundation (through grant GBMF1250).
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Army Research Office (ARO)W911NF0710576
Army Research Office (ARO)W911NF0410234
NSF Physics Frontiers CenterUNSPECIFIED
National Research CouncilUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Subject Keywords:Quantum information; Quantum mechanics; Qubits
Issue or Number:7508
Record Number:CaltechAUTHORS:20140811-093227563
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:48290
Deposited By: Ruth Sustaita
Deposited On:11 Aug 2014 17:07
Last Modified:10 Nov 2021 18:31

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