Abstract

To perform an adiabatic state transfer which brings about a change in the electron Berry phase effect, a manipulable slow degree of freedom should be introduced in an electron system. We show that the use of a laser field provides a solution to this problem; we derive effective electronic Hamiltonians for one- and two-dimensional systems in a driving laser field whose amplitude slightly depends on time. We show that in the resulting electron-only theory, the renormalized hopping energy turns into an adiabatically tunable variable, which in turn will directly affect the Berry phase properties of the electron system. As an important application of this effect, we discuss how our scheme will open up an efficient way to optically control the electric polarization of the system.

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