Localization and Delocalization in Kicked Anderson Model
Hiroaki Yamada
Abstract
Hiroaki Yamada
Abstract
Recently, we have found an interesting property in Anderson model with coherently time-dependent perturbation. In Anderson model, it is well-known that almost all eigenstates are localized and the quantum diffusion of initially localized wavepacket is suppressed at the localization length. When classical coherent perturbation make the localized state delocalized and we call the states ”dynamically delocalized states”. Moreover, when we couple a harmonic oscillator with the perturbed Anderson system in the delocalized state, the energy have been irreversibly transferred from the electron system to the oscillator in ground state. In the present paper we investigate the localization phenomena in kicked Anderson model and delocalization caused by coherent external perturbation, comparing with the dynamical delocalization in Anderson model. 9)
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Recently, we have found an interesting property in Anderson model with coherently time-dependent perturbation. In Anderson model, it is well-known that almost all eigenstates are localized and the quantum diffusion of initially localized wavepacket is suppressed at the localization length. When classical coherent perturbation make the localized state delocalized and we call the states ”dynamically delocalized states”. Moreover, when we couple a harmonic oscillator with the perturbed Anderson system in the delocalized state, the energy have been irreversibly transferred from the electron system to the oscillator in ground state. In the present paper we investigate the localization phenomena in kicked Anderson model and delocalization caused by coherent external perturbation, comparing with the dynamical delocalization in Anderson model. 9)
Key concepts: Delocalized electron, Physics, Anderson localization, Anderson impurity model, Perturbation (astronomy), Quantum mechanics, Quantum, Harmonic oscillator