Towards a definition of the quantum ergodic hierarchy: Ergodicity and mixing |
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Authors: | Mario Castagnino Olimpia Lombardi |
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Institution: | a CONICET and Universidad de Buenos Aires, Argentina b Instituto de Astronomía y Física del Espacio (IAFE), Argentina c Instituto de Física de Rosario (IFIR), Argentina |
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Abstract: | In a previous paper we have given a general framework for addressing the definition of quantum chaos by identifying the conditions that a quantum system must satisfy to lead to non-integrability in its classical limit. In this paper we will generalize those results, with the purpose of defining the two lower levels of the quantum ergodic hierarchy: ergodicity and mixing. We will also argue for the physical relevance of this approach by considering a particular example where our formalism has been successfully applied. |
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Keywords: | Quantum chaos Quantum ergodicity Quantum mixing Decoherence |
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