Information entropy to probe revivals in dynamical systems. (English) Zbl 1298.81033
Summary: It is shown that sum of information entropies in position and momentum space, quantifies the temporal information in wave packet dynamics of a dynamical system. Quantum fractional revivals are investigated on these bases in periodically driven Fermi-Ulam accelerator. It is observed that the entropic measure provides deeper insight of the wave packet dynamics for the long time evolution as compared with conventional autocorrelation function. It is shown that these revival times are not symmetric in driven situations and may lead to a random behavior.
MSC:
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 94A17 | Measures of information, entropy |
Keywords:
coherent structure; time-dependent phenomena; quantum recurrences; Fermi-Ulam accelerator; entropyReferences:
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