Volume 71, Number 5, September 2005
|Page(s)||705 - 711|
|Published online||03 August 2005|
Aharonov-Anandan phase and the quasistationarity of driven quantum systems
Max-Planck Institut für Mikrostrukturphysik - Weinberg 2, 06120 Halle, Germany
Accepted: 7 July 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.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 02.30.Yy – Control theory / 32.80.Qk – Coherent control of atomic interactions with photons
© EDP Sciences, 2005
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