Resonance scattering and singularities of the scattering function
arXiv:1003.3105 · doi:10.1140/epjd/e2010-00088-5
Abstract
Recent studies of transport phenomena with complex potentials are explained by generic square root singularities of spectrum and eigenfunctions of non-Hermitian Hamiltonians. Using a two channel problem we demonstrate that such singularities produce a significant effect upon the pole behaviour of the scattering matrix, and more significantly upon the associated residues. This mechanism explains why by proper choice of the system parameters the resonance cross section is increased drastically in one channel and suppressed in the other channel.
4 pages, 3 figures
References in corpus (14)
- Exceptional Points of Non-hermitian Operators
- Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
- Repulsion of Resonance States and Exceptional Points
- Observation of an exceptional point in a chaotic optical microcavity
- Encircling an Exceptional Point
- Geometric phase around exceptional points
- Phases of Wave Functions and Level Repulsion
- Effective non-Hermitian Hamiltonian and continuum shell model
- Projective Hilbert space structures at exceptional points
- Superradiance Transition in Transport Through Nanosystems
- Coulomb analogy for nonhermitian degeneracies near quantum phase transitions
- Exceptional points in the spectra of atoms in external fields
- A return to observability near exceptional points in a schematic PT-symmetric model
- Exceptional points in the scattering continuum