The Approach to Ergodicity in the Quantum Baker's Map

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dc.creatorJordan, Andrew
dc.creatorSrednicki, Mark
dc.date2001-08-14
dc.date2001-08-22
dc.date.accessioned2026-07-07T05:33:38Z
dc.date.available2026-07-07T05:33:38Z
dc.descriptionWe study the quantum mechanics of a generalized version of the baker's map. We show that the Ruelle resonances (which govern the approach to ergodicity of classical distributions on phase space) also appear in the quantum correlation functions of observables at different times, and hence control the statistical variance of matrix elements of observables (in the basis of eigenstates of the quantum time evolution operator). We illustrate this with numerical results.
dc.description14 pages, 3 figures; minor typos corrected in v2
dc.identifierhttps://arxiv.org/abs/nlin/0108024
dc.identifierhttp://arxiv.org/abs/nlin/0108024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80071
dc.subjectChaotic Dynamics
dc.subjectCondensed Matter
dc.subjectQuantum Physics
dc.titleThe Approach to Ergodicity in the Quantum Baker's Map
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