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 http://resolver.caltech.edu/CaltechAUTHORS:20110926-093415657
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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.
|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.|
|Classification Code:||PACS: 03.67.Hk, 05.50.+q|
|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.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||26 Sep 2011 16:59|
|Last Modified:||26 Dec 2012 13:42|
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