Improving the Lieb-Robinson bound for long-range interactions
| Autor: | Tohru Koma, Takuro Matsuta, Shu Nakamura |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Physics
Nuclear and High Energy Physics Information propagation Finite group FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) 01 natural sciences Power law 010305 fluids & plasmas Functional Analysis (math.FA) Mathematics - Functional Analysis Range (mathematics) 82C10 46N50 0103 physical sciences FOS: Mathematics Group velocity Statistical physics 010306 general physics Quantum Mathematical Physics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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