1202.3290 (Arnaud Leclerc et al.)

The role of the geometric phases in adiabatic populations tracking for
quantum dissipative systems    [PDF]

Arnaud Leclerc, David Viennot, Georges Jolicard

We show that the definition of instantaneous eigenstate populations for a
dynamical non-self-adjoint system is not obvious. The na\"ive direct extension
of the definition used for the self-adjoint case leads to inconsistencies; the
resulting artifacts can induce a false inversion of population or a false
adiabaticity. We show that the inconsistency can be avoided by introducing
geometric phases in another possible definition of populations. An example is
given which demonstrates both the anomalous effects and their removal by our
approach.

View original: http://arxiv.org/abs/1202.3290