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Quantum Simulation

Information propagation for interacting particle systems

arXiv
Authors: Norbert Schuch, Sarah K. Harrison, Tobias J. Osborne, Jens Eisert

Year

2010

Paper ID

10748

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We show that excitations of interacting quantum particles in lattice models always propagate with a finite speed of sound.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.4576 [2] arXiv https://arxiv.org/abs/1010.4576 [3] Publisher https://arxiv.org/abs/1010.4576

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