dorsal/arxiv
View SchemaCompletely Mixing Quantum Open Systems and Quantum Fractals
| Authors | Ph. Blanchard, A. Jadczyk, R. Olkiewicz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909085 |
| URL | https://arxiv.org/abs/quant-ph/9909085 |
| DOI | 10.1016/S0167-2789(00)00175-5 |
| Journal | Physica D: Nonlinear Phenomena, 148 (3-4) (2001) pp. 227-241 |
Abstract
Departing from classical concepts of ergodic theory, formulated in terms of probability densities, measures describing the chaotic behavior and the loss of information in quantum open systems are proposed. As application we discuss the chaotic outcomes of continuous measurement processes in the EEQT framework. Simultaneous measurement of four noncommuting spin components is shown to lead to a chaotic jump on quantum spin sphere and to generate specific fractal images - nonlinear ifs (iterated function system). The model is purely theoretical at this stage, and experimental confirmation of the chaotic behavior of measuring instruments during simultaneous continuous measurement of several noncommuting quantum observables would constitute a quantitative verification of Event Enhanced Quantum Theory.
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"abstract": "Departing from classical concepts of ergodic theory, formulated in terms of\nprobability densities, measures describing the chaotic behavior and the loss of\ninformation in quantum open systems are proposed. As application we discuss the\nchaotic outcomes of continuous measurement processes in the EEQT framework.\nSimultaneous measurement of four noncommuting spin components is shown to lead\nto a chaotic jump on quantum spin sphere and to generate specific fractal\nimages - nonlinear ifs (iterated function system). The model is purely\ntheoretical at this stage, and experimental confirmation of the chaotic\nbehavior of measuring instruments during simultaneous continuous measurement of\nseveral noncommuting quantum observables would constitute a quantitative\nverification of Event Enhanced Quantum Theory.",
"arxiv_id": "quant-ph/9909085",
"authors": [
"Ph. Blanchard",
"A. Jadczyk",
"R. Olkiewicz"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1016/S0167-2789(00)00175-5",
"journal_ref": "Physica D: Nonlinear Phenomena, 148 (3-4) (2001) pp. 227-241",
"title": "Completely Mixing Quantum Open Systems and Quantum Fractals",
"url": "https://arxiv.org/abs/quant-ph/9909085"
},
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