Chaos, Quantum Recurrences, and Anderson Localization
Shmuel FishmanDepartment of Physics and Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742D. R. GrempelDepartment of Physics and Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742R. E. PrangeDepartment of Physics and Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742
1982en
ABI
Annotatsiya
A periodically kicked quantum rotator is related to the Anderson problem of conduction in a one-dimensional disordered lattice. Classically the second model is always chaotic, while the first is chaotic for some values of the parameters. With use of the Anderson-model result that all states are localized, it is concluded that the local quasienergy spectrum of the rotator problem is discrete and that its wave function is almost periodic in time. This allows one to understand on physical grounds some numerical results recently obtained in the context of the rotator problem.
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