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 sp...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2011-09, Vol.84 (3), Article 032309
Main Authors: Schuch, Norbert, Harrison, Sarah K., Osborne, Tobias J., Eisert, Jens
Format: Article
Language:English
Subjects:
ANYONS
ATOMIC AND MOLECULAR PHYSICS
BOSONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
FERMIONS
HUBBARD MODEL
QUANTUM INFORMATION
QUANTUM MECHANICS
SOUND WAVES
SPIN
VELOCITY
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Summary: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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.84.032309