Lensing of Dirac monopole in Berrys phase


Abstract in English

Berrys phase, which is associated with the slow cyclic motion with a finite period, looks like a Dirac monopole when seen from far away but smoothly changes to a dipole near the level crossing point in the parameter space in an exactly solvable model. This topology change of Berrys phase is visualized as a result of lensing effect; the monopole supposed to be located at the level crossing point appears at the displaced point when the variables of the model deviate from the precisely adiabatic movement. The effective magnetic field generated by Berrys phase is determined by a simple geometrical consideration of the magnetic flux coming from the displaced Dirac monopole.

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