Towards a definition of the quantum ergodic hierarchy: Ergodicity and mixing

Mario Castagnino and Olimpia Lombardi

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 4, 247-267

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.

Keywords: Quantum chaos; Quantum ergodicity; Quantum mixing; Decoherence (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:4:p:247-267

DOI: 10.1016/j.physa.2008.10.019

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