https://doi.org/10.1140/epjd/e2009-00315-2
Exceptional points in multichannel resonance quantization
1
Laboratoire de Photophysique Moléculaire du CNRS, Université Paris-Sud, Bât. 210, Campus d'Orsay, 91405 Orsay, France
2
U.F.R. de Physique Fondamentale et Appliquée, Université Pierre et Marie Curie, 75321 Paris, France
Corresponding author: osman.atabek@ppm.u-psud.fr
Received:
8
July
2009
Revised:
12
September
2009
Published online:
22
December
2009
We derive from the quantization condition of a multichannel resonance problem the behaviour of resonance energies close to an exceptional point (EP) where two resonance energies coalesce. The formalism is applied to a one-dimensional model of the molecular ion H2+. Although the approach does not use a matrix diagonalization procedure, all known results about exceptional points are present, including the transfer from one resonance to another when following a loop encircling the EP. We study how the resonance wave functions behave along loops around the EP, as well as the associated geometric phases.
PACS: 33.80.-b – Photon interactions with molecules / 42.50.Hz – Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift / 33.80.Gj – Diffuse spectra; predissociation, photodissociation
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009
