Thermodynamic Limit and Decoherence: Rigorous Results

dc.creatorFrasca, Marco
dc.date2006-11-02
dc.date.accessioned2026-07-07T08:04:16Z
dc.date.available2026-07-07T08:04:16Z
dc.descriptionTime evolution operator in quantum mechanics can be changed into a statistical operator by a Wick rotation. This strict relation between statistical mechanics and quantum evolution can reveal deep results when the thermodynamic limit is considered. These results translate in a set of theorems proving that these effects can be effectively at work producing an emerging classical world without recurring to any external entity that in some cases cannot be properly defined. In a many-body system has been recently shown that Gaussian decay of the coherence is the rule with a duration of recurrence more and more small as the number of particles increases. This effect has been observed experimentally. More generally, a theorem about coherence of bulk matter can be proved. All this takes us to the conclusion that a well definite boundary for the quantum to classical world does exist and that can be drawn by the thermodynamic limit, extending in this way the deep link between statistical mechanics and quantum evolution to a high degree.
dc.description5 pages, no figures. Contribution to proceedings of DICE 2006 (Piombino, Italy, September 11-15, 2006)
dc.identifierhttps://arxiv.org/abs/quant-ph/0611024
dc.identifierhttp://arxiv.org/abs/quant-ph/0611024
dc.identifierJournal of Physics: Conference Series 67 (2007) 012026
dc.identifierdoi:10.1088/1742-6596/67/1/012026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129890
dc.subjectQuantum Physics
dc.subjectOther Condensed Matter
dc.subjectMathematical Physics
dc.titleThermodynamic Limit and Decoherence: Rigorous Results
dc.typetext

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