Aharonov-Anandan phase and the quasistationarity of driven quantum systemsA. Matos-Abiague and J. Berakdar
Max-Planck Institut für Mikrostrukturphysik - Weinberg 2, 06120 Halle, Germany
received 23 May 2005; accepted in final form 7 July 2005
published online 3 August 2005
We derive necessary and sufficient conditions for the quasistationarity of time-dependent quantum systems and point out the relationship between the degree of quasistationarity, the Fubini-Study metric, and the Aharonov-Anandan phase. As an illustration, we analyze the dynamical localization of an electron in a double quantum well and the sustainability of field-induced orientation of polar molecules.
03.65.Vf - Phases: geometric; dynamic or topological.
02.30.Yy - Control theory.
32.80.Qk - Coherent control of atomic interactions with photons.
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