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- W2136901844 abstract "The dynamics of quantum systems usually strongly depends on the local structure of the Hamiltonian. For short-range interacting systems, the well-known Lieb-Robinson bound defines the effective light cone with an exponentially small error with respect to the spatial distance, whereas we can obtain only polynomial bound for long-range interacting systems. In this letter, we derive a qualitatively new bound by considering a number of spin which can couple with each other after time evolution. Our bound is exponentially strong with respect to the number of coupling and valid for large class of Hamiltonians including long-range interacting systems. To demonstrate the potential of our approach in quantum many-body systems, we apply our bound to prove several fundamental properties which cannot be derived from the Lieb-Robinson bound." @default.
- W2136901844 created "2016-06-24" @default.
- W2136901844 creator A5035528658 @default.
- W2136901844 date "2015-09-01" @default.
- W2136901844 modified "2023-09-27" @default.
- W2136901844 title "Exponential bound on the multipartite couplings in quantum many-body dynamics with long-range interactions" @default.
- W2136901844 hasPublicationYear "2015" @default.
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