Chaos, Quantum Recurrences, and Anderson Localization

作者：Shmuel Fishman, D. R. Grempel, R. E. Prange · 发表于：Physical Review Letters · 年份：1982 · DOI：10.1103/physrevlett.49.509 · 被引用次数：977 · 研究领域：Quantum chaos and dynamical systems、Theoretical and Computational Physics、Spectroscopy and Quantum Chemical Studies

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.