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- W4214941736 abstract "Discrete lattice models are a cornerstone of quantum many-body physics. They arise as effective descriptions of condensed matter systems and lattice-regularized quantum field theories. Lieb-Robinson bounds imply that if the degrees of freedom at each lattice site only interact locally with each other, correlations can only propagate with a finite group velocity through the lattice, similarly to a light cone in relativistic systems. Here we show that Lieb-Robinson bounds are equivalent to the locality of the interactions: a system with k-body interactions fulfills Lieb-Robinson bounds in exponential form if and only if the underlying interactions decay exponentially in space. In particular, our result already follows from the behavior of two-point correlation functions for single-site observables and generalizes to different decay behaviours as well as fermionic lattice models. As a side-result, we thus find that Lieb-Robinson bounds for single-site observables imply Lieb-Robinson bounds for bounded observables with arbitrary support." @default.
- W4214941736 created "2022-03-05" @default.
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- W4214941736 date "2022-03-02" @default.
- W4214941736 modified "2023-09-26" @default.
- W4214941736 title "Lieb-Robinson bounds imply locality of interactions" @default.
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- W4214941736 doi "https://doi.org/10.1103/physrevb.105.125101" @default.
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