Completely Mixing Quantum Open Systems and Quantum Fractals

Details Completely Mixing Quantum Open Systems and Quantum Fractals Completely Mixing Quantum Open Systems and Quantum Fractals

1999-09-28

arxiv.org/abs/quant-ph/9909085v3

Physica D: Nonlinear Phenomena, 148 (3-4) (2001) pp. 227-241

Physics

Quantum Physics

Latex format, 20 pages, 6 figures in jpg format. New replacement has two more references (including one to a paper by G. Casat

Scientific paper

10.1016/S0167-2789(00)00175-5

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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