Contribution of adiabatic phases to noncyclic evolution

Details Contribution of adiabatic phases to noncyclic evolution Contribution of adiabatic phases to noncyclic evolution

2009-08-06

arxiv.org/abs/0908.0785v1

Physics

Quantum Physics

7 pages, no figure

Scientific paper

We show that the difference of adiabatic phases, that are basis-dependent, in noncyclic evolution of non-degenerate quantum systems have to be taken into account to give the correct interference result in the calculation of physical quantities in states that are a superposition of instantaneous eigenstates of energy. To verify the contribution of those adiabatic phases in the interference phenomena, we consider the spin-1/2 model coupled to a precessing external magnetic field. In the model, the adiabatic phase increases in time up to reach the difference of the Berry's phases of the model when the external magnetic field completes a period.

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