Dissociation quenching using exceptional points
- 137 Downloads
We examine a short way to reach an exceptional point that corresponds to a coalescence of two resonance energies. The application concerns the photodissociation of the Na2 molecule exposed to a laser field. In this case, the resonances can be correlated with the field-free vibrational states of the diatomic species. The resonances are due to the field-induced coupling with the continuum of a repulsive potential. We also draw attention to a new kind of exceptional point involving a resonance originating from a vibrational state coalescing with a shape-type resonance of the repulsive potential. A laser control scenario, aiming at the adiabatic transport from this field-free decaying state to a stable field-free vibrational state, is discussed in terms of field-induced dissociation quenching.
KeywordsPhotodissociation Resonances Exceptional points Population transfer Laser control Dissociation quenching Floquet formalism
The authors gratefully acknowledge fruitful discussions with Dr. Amine Jaouadi. R. L. thanks Pr. I. Ortega for his hospitality at the Instituto de Ciencias Fisicas (UNAM), Cuernavaca, Mexico, where part of this work was done. This research is supported partially by France-Canada CFQCU (contract number 2010–19), from the EU (Project ITN-2010-264951, CORINF), and the joint NSF (USA)-–ANR (France) FRAMOLSENT project.
- 1.Taylor R (1972) Scattering theory. Wiley, New YorkGoogle Scholar
- 2.Kato T (1966) Perturbation theory of linear operators. Springer, BerlinGoogle Scholar
- 4.Moiseyev N (2001) Non-Hermitian quantum mechanics. Cambridge University Press, CambridgeGoogle Scholar
- 10.Atabek O, Lefebvre R, Nguyen-Dang TT (2003) In: Le Bris C (ed) Handbook of numerical analysis, vol X. Elsevier, New YorkGoogle Scholar