Published September 8, 2011
| Version Published
Journal Article
Open
Information propagation for interacting-particle systems
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1.
California Institute of Technology
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2.
Royal Holloway University of London
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3.
Leibniz University Hannover
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4.
Institute for Advanced Study
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5.
University of Potsdam
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.
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.Attached Files
Published - Schuch2011p15873Phys_Rev_A.pdf
Files
Schuch2011p15873Phys_Rev_A.pdf
Additional details
Identifiers
- Eprint ID
- 25433
- Resolver ID
- CaltechAUTHORS:20110926-093415657
Funding
- European Union (COMPAS, MINOS, QESSENCE)
- EURYI
- BMBF (QuOReP)
- Gordon and Betty Moore Foundation through Caltech Center for the Physics of Information
- NSF
- PHY-0803371
- Army Research Office (ARO)
- W911NF-09-1-0442
Dates
- Created
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2011-09-26Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field