NONADIABATIC EFFECT IN A QUANTUM CHARGE PUMP

Nonadiabatic effects in a quantum charge pump are studied through the exact solution of a time-dependent Schrodinger equation and the nonint eracting Anderson impurity model. An approximate solution to the inter acting Anderson model in the large Coulomb repulsion limit is also pre sented. The nonadiabatic corrections are rigorously found to die off e xponentially as the pumping frequency goes to zero. Moreover, the semi classical rate equation is derived when the temperature is higher than the energy quantum of the pumping frequency. Finally, nonadiabatic he ating in the system is discussed.