Physics – Quantum Physics
Scientific paper
2010-10-21
Phys. Rev. A 84, 032309 (2011)
Physics
Quantum Physics
4 pages, 1 figure, minor changes
Scientific paper
10.1103/PhysRevA.84.032309
We show that excitations of interacting quantum particles in lattice models always propagate with a finite speed of sound. Our argument is simple yet general and shows that by focusing on the physically relevant observables one can generally expect a bounded speed of information propagation. The 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 a meaningful analogue of the Lieb-Robinson bound for strongly correlated models.
Eisert Jens
Harrison Sarah K.
Osborne Tobias J.
Schuch Norbert
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