Unpredictability of wave function's evolution in nonintegrable quantum systems

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dc.creatorIvanov, I. B.
dc.date2002-03-05
dc.date.accessioned2026-07-07T06:03:47Z
dc.date.available2026-07-07T06:03:47Z
dc.descriptionIt is shown that evolution of wave functions in nonintegrable quantum systems is unpredictable for a long time T because of rapid growth of number of elementary computational operations $\mathcal O(T)\sim T^α$. On the other hand, the evolution of wave functions in integrable systems can be predicted by the fast algorithms $\mathcal O(T)\sim (log_2 T)^β$ for logarithmically short time and thus there is an algorithmic "compressibility" of their dynamics. The difference between integrable and nonintegrable systems in our approach looks identically for classical and quantum systems. Therefore the minimal number of bit operations $\mathcal O(T)$ needed to predict a state of system for time interval T can be used as universal sign of chaos.
dc.description6 pages, 1 figure Submitted to Journal of Physics A
dc.identifierhttps://arxiv.org/abs/quant-ph/0203019
dc.identifierhttp://arxiv.org/abs/quant-ph/0203019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90074
dc.subjectQuantum Physics
dc.subjectComputational Complexity
dc.subjectChaotic Dynamics
dc.titleUnpredictability of wave function's evolution in nonintegrable quantum systems
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