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Journal of Hebei Normal University

Berry Phase for the Two-Spin System with the Uniaxial Anisotropic Exchange Interaction in a Time-Dependent Magnetic Field

Lin Yang

Published Jan 1, 2000• 0 citations
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Abstract

The instantaneous eigenstates and Berry phases for the two spin system with the uniaxial exchange interaction in a time dependent magnetic field are studied.The results show that uniaxial anisotropic exchange interaction has the effect to the Berry phase for the spin system. [WT5HZ]

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The Berry phase in a composite system induced by the time-dependent interaction is discussed. We choose two coupled spin-1/2 systems as the composite system: one of the subsystems is subjected to a static magnetic field, and the coupling parameters between two spins are controllable in time. We show that the time-dependent interaction can induce the Berry phase in a similar way as that a spin-1/2 system (qubit) is driven by an effective time-dependent magnetic field.Furthermore, using two consecutive cycles with opposite directions of both the static magnetic field as well as opposite signs of the coupling parameters, a nontrivial two-qubit unitary transformation purely based on Berry phases can be constructed.
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