Entanglement Effect on Off-diagonal Geometric Phase

Abstract

The effect of entanglement on off-diagonal geometric phases is investigated in the paper. Two spin-1/2 particles in magnetic fields along the y direction are taken as an example. Three parameters (the purity of state r, the mixing angle θ and the relative phase β) are chosen to characterize the initial states. The nodal points at which the usual geometric phases disappear are calculated and illustrated as a function of the three parameters.

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