论文标题

非绝热和非绝热几何阶段的一致性

Consistency between adiabatic and nonadiabatic geometric phases for nonselfadjoint hamiltonians

论文作者

Viennot, David, Leclerc, Arnaud, Jolicard, Georges, Killingbeck, John P.

论文摘要

我们表明,非菲达汉密尔顿人的绝热近似似乎引起了几何阶段的两个非等量表达式。第一个与涉及绝热定理的光谱投影仪有关,另一个是非绝热几何阶段的绝热极限。通过观察到两种表达式之间的差异是通过动态阶段的较小偏差来补偿这种明显不一致的。

We show that the adiabatic approximation for nonselfadjoint hamiltonians seems to induce two non-equal expressions for the geometric phase. The first one is related to the spectral projector involved in the adiabatic theorem, the other one is the adiabatic limit of the nonadiabatic geometric phase. This apparent inconsistency is resolved by observing that the difference between the two expressions is compensated by a small deviation in the dynamical phases.

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