Dynamic localization in quantum wires

In the paper the dynamic localization of charged particle (electron) in a quantum wire under the external non-uniform time-dependent electric field is considered. The electrons are trapped in deep ‘dynamic’ quantum wells which are the result of specific features of the potential imposed on 2D electron gas: the scale of spatial nonuniformity is much smaller than the electron mean free path (View the MathML source) and the frequency is much greater than τ−1, where τ is the electron-free flight time. As a result, the effect of this field on the charged particle is in a sense equivalent to the effect of a time-independent effective potential, that is a sequence of deep ‘dynamic’ quantum wells where the electrons are confined. The possible consequences of this effect are also discussed and similarities with the classical Paul traps are emphasized.