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Information propagation for interacting-particle systems

  • 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.

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Author details:Norbert Schuch, Sarah K. Harrison, Tobias J. Osborne, Jens Eisert
DOI:https://doi.org/10.1103/PhysRevA.84.032309
ISSN:1050-2947
Title of parent work (English):Physical review : A, Atomic, molecular, and optical physics
Publisher:American Physical Society
Place of publishing:College Park
Publication type:Article
Language:English
Year of first publication:2011
Publication year:2011
Release date:2017/03/26
Volume:84
Issue:3
Number of pages:5
Funding institution:EU (COMPAS, MINOS, QESSENCE); EURYI; BMBF (QuOReP); Gordon and Betty Moore Foundation through Caltech's Center for the Physics of Information; National Science Foundation [PHY-0803371]; ARO [W911NF-09-1-0442]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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