Decoherence Induced by a Quenching Driven Field on the Motion of a Single Electron

We investigate the motion of an electron in a one dimensional crystal coupled to an EMF potential, driven by an external force which is continuously switched on and off. The Shannon entropy and the thermodynamic parameters of the system are evaluated using the density matrix and the statistical sum, through the Feynman path integral method. The coupling with the system and its environment (modelised here by the quenching field) inducing decoherence. That effect is reduced when the magnetic confinement frequency increases.