The role of the geometric phases in adiabatic populations tracking for non-hermitian hamiltonians

Details The role of the geometric phases in adiabatic populations tracking for non-hermitian hamiltonians The role of the geometric phases in adiabatic populations tracking for non-hermitian hamiltonians

2012-02-15

arxiv.org/abs/1202.3290v2

Physics

Quantum Physics

15 pages, 8 figures

Scientific paper

We show that the definition of instantaneous eigenstate populations for a dynamical non-self-adjoint system is not obvious. The naive 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.

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