We discuss the behavior of a quantum 1/2 spin coupled to a time dependent magnetic field, which can be quasiperiodic or random. For a quasiperiodic field, the time evolution of the system on a coarse grained space has autocorrelation, which does not decay, and positive topological entropy. The information complexity diverges as a stretched exponential, although the Shannon entropy is sero, and there is no divergence of nearby orbits. A simple random process is introduced in order to reproduce the main qualitative features of the observed weakly complex behavior.

Complexity in quantum systems

SERVA, Maurizio;
1994-01-01

Abstract

We discuss the behavior of a quantum 1/2 spin coupled to a time dependent magnetic field, which can be quasiperiodic or random. For a quasiperiodic field, the time evolution of the system on a coarse grained space has autocorrelation, which does not decay, and positive topological entropy. The information complexity diverges as a stretched exponential, although the Shannon entropy is sero, and there is no divergence of nearby orbits. A simple random process is introduced in order to reproduce the main qualitative features of the observed weakly complex behavior.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/18132
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