Europhys. Lett.
Volume 71, Number 5, September 2005
Page(s) 705 - 711
Section General
Published online 03 August 2005
Europhys. Lett., 71 (5), pp. 705-711 (2005)
DOI: 10.1209/epl/i2005-10161-8

Aharonov-Anandan phase and the quasistationarity of driven quantum systems

A. 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.

© EDP Sciences 2005