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Time evolution of non-Hermitian Hamiltonian systems

Carla Figueira de Morisson Faria·Andreas Fring
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Abstract

We provide time-evolution operators, gauge transformations and a perturbative treatment for non-Hermitian Hamiltonian systems, which are explicitly time-dependent. We determine various new equivalence pairs for Hermitian and non-Hermitian Hamiltonians, which are therefore pseudo-Hermitian and in addition in some cases also invariant under PT-symmetry. In particular, for the harmonic oscillator perturbed by a cubic non-Hermitian term, we evaluate explicitly various transition amplitudes, for the situation when these systems are exposed to a monochromatic linearly polarized electric field.

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Carla Figueira de Morisson Faria, Andreas Fring. 2006-04-12. Time evolution of non-Hermitian Hamiltonian systems. https://doi.org/10.1088/0305-4470/39/29/018

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