Abstract
Taking into account the off-diagonal matrix elements of the positron operator, the motion of Bloch electrons in a one-dimensional lattice under the action of an arbitrary time-dependent electric field is investigated. The exact solutions for the evolution amplitudes and the mean-square displacement are obtained in the case of a one-band approximation. The evolution behavior of Bloch electrons in several types of electric fields is discussed. It has been found that the off-diagonal matrix elements of the positron operator only quantitatively affect the dynamic localization and delocalization of Bloch electrons previously obtained without considering this effect.
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