On the Thermalization Hypothesis of Quantum States
Autor: | O. V. Inozemcev, I. V. Volovich |
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Rok vydání: | 2021 |
Předmět: |
Physics
Distribution (number theory) Mathematics::History and Overview Observable Computer Science::Computational Complexity Physics::Geophysics Mathematics (miscellaneous) Thermalisation Quantum state Quantum mechanics Quantum system Computer Science::Data Structures and Algorithms Eigenstate thermalization hypothesis Ansatz |
Zdroj: | Proceedings of the Steklov Institute of Mathematics. 313:268-278 |
ISSN: | 1531-8605 0081-5438 |
Popis: | The eigenstate thermalization hypothesis (ETH) is discussed. We note that one common formulation of the ETH does not necessarily imply thermalization of an observable of an isolated many-body quantum system. We show that to get thermalization, one has to postulate the canonical or microcanonical distribution in the ETH ansatz. More generally, any other average can be postulated in the generalized ETH ansatz, which leads to a corresponding equilibration condition. |
Databáze: | OpenAIRE |
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