Physics – Quantum Physics
Scientific paper
2010-01-06
Phys. Rev. B 80, 165125 (2009)
Physics
Quantum Physics
14 pages, 9 figures
Scientific paper
Spectral singularities are predicted to occur in a non-Hermitian extension of the Friedrichs-Fano-Anderson model describing the decay of a discrete state $|a >$ coupled to a continuum of modes. A physical realization of the model, based on electronic or photonic transport in a semi-infinite tight-binding lattice with an imaginary impurity site at the lattice boundary, is proposed. The occurrence of the spectral singularities is shown to correspond either to a diverging reflection probability (for an amplifying impurity) or to a vanishing reflection probability (for an absorbing impurity) from the lattice boundary. In the former case, the spectral singularity of the resolvent is also responsible for the non-decay of state $|a>$ into the continuum, in spite of the absence of bound states.
No associations
LandOfFree
Spectral singularities in a non-Hermitian Friedrichs-Fano-Anderson model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spectral singularities in a non-Hermitian Friedrichs-Fano-Anderson model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral singularities in a non-Hermitian Friedrichs-Fano-Anderson model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-372841