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EnglishWe 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.
http://hdl.handle.net/11697/18132| Titolo: | Complexity in quantum systems |
| Autori interni: | SERVA, Maurizio |
| Data di pubblicazione: | 1994 |
| Rivista: | PHYSICAL REVIEW E |
| 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. |
| Handle: | http://hdl.handle.net/11697/18132 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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