NONADIABATIC PARTICLE-TRANSPORT IN A ONE-DIMENSIONAL ELECTRON-SYSTEM

Nonadiabatic effects on the particle transport (PT) induced by a slidi ng potential in a one-dimensional system are investigated. A formal tr eatment for calculating both average-energy and quasienergy (QE) subba nds is given. A relation between the band structure and the transport property is established. By varying the speed of the sliding potential , the authors demonstrate how the quantization of PT breaks down due t o the emergence of QE band gaps once beyond the adiabatic regime. In t he nearly adiabatic limit, the nonadiabatic correction to the quantize d PT is found to obey an exponential law. Farther from the adiabatic c ondition, another type of nonadiabatic breakdown, due purely to the on set of soft crossings in the average energy spectrum, is identified. I t is also shown that the current subject is closely related to the Wan nier-Stark ladder and the nonadiabatic quantum Hall effect.