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Improving the Lieb-Robinson bound for long-range interactions
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We improve the Lieb-Robinson bound for a wide class of quantum many-body systems with long-range interactions decaying by power law. As an application, we show that the group velocity of information propagation grows by power law in time for such systems, whereas systems with short-range interactions exhibit a finite group velocity as shown by Lieb and Robinson.
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Cited by 2 Pith papers
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Long-Range Prethermal Phases of Nonequilibrium Matter
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Locality and Heating in Periodically Driven, Power-law Interacting Systems
Power-law interacting, periodically driven systems exhibit heating times exponential in drive frequency for alpha > D in linear response and alpha > 2D in general, with the gap attributed to the absence of tight Lieb-...
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