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Information propagation for interacting-particle systems

Schuch, Norbert and Harrison, Sara K. and Osborne, Tobias J. and Eisert, Jens (2011) Information propagation for interacting-particle systems. Physical Review A, 84 (3). Art. No. 032309. ISSN 1050-2947. https://resolver.caltech.edu/CaltechAUTHORS:20110926-093415657

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Abstract

We study the speed at which information propagates through systems of interacting quantum particles moving on a regular lattice and show that for a certain class of initial conditions there exists a maximum speed of sound at which information can propagate. Our argument applies equally to quantum spins, bosons such as in the Bose-Hubbard model, fermions, anyons, and general mixtures thereof, on arbitrary lattices of any dimension. It also pertains to dissipative dynamics on the lattice, and generalizes to the continuum for quantum fields. Our result can be seen as an analog of the Lieb-Robinson bound for strongly correlated models.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.84.032309DOIUNSPECIFIED
http://pra.aps.org/abstract/PRA/v84/i3/e032309PublisherUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevA.84.032309PublisherUNSPECIFIED
Additional Information:© 2011 American Physical Society. Received 31 January 2011; published 8 September 2011. This work was supported by the EU (COMPAS, MINOS, QESSENCE), the EURYI, the BMBF (QuOReP), the Gordon and Betty Moore Foundation through Caltech’s Center for the Physics of Information, the National Science Foundation under Grant No. PHY-0803371, and the ARO under Grant No. W911NF-09-1-0442. Part of this work was done at the Mittag-Leffler-Institute.
Funders:
Funding AgencyGrant Number
European Union (COMPAS, MINOS, QESSENCE)UNSPECIFIED
EURYIUNSPECIFIED
BMBF (QuOReP)UNSPECIFIED
Gordon and Betty Moore Foundation through Caltech Center for the Physics of InformationUNSPECIFIED
NSFPHY-0803371
Army Research Office (ARO)W911NF-09-1-0442
Issue or Number:3
Classification Code:PACS: 03.67.Hk, 05.50.+q
Record Number:CaltechAUTHORS:20110926-093415657
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110926-093415657
Official Citation:Information propagation for interacting-particle systems Norbert Schuch, Sarah K. Harrison, Tobias J. Osborne, and Jens Eisert Published 8 September 2011 (5 pages) 032309
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:25433
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:26 Sep 2011 16:59
Last Modified:03 Oct 2019 03:06

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