Journal of Molecular Modeling

, Volume 19, Issue 5, pp 1959–1965 | Cite as

Dissociation quenching using exceptional points

  • R. Lefebvre
  • O. AtabekEmail author
Original Paper


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.


Laser-controlled Dissociation Quenching mechanism in Na2 using an Exceptional Point resulting from the merging of a shape-type resonance (R 8) and a Feshbach one originating from a vibrational bound state (v=0). The population transfer process is indicated by the blue arrow of the left panel. The laser-controlled energy trajectory from R 8 (decaying state) to v=0 (stable state) is displayed in the middle panel, while the survival probability is given in the right panel. An efficiency of about 25 % is reached for the quenching control.


Photodissociation 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.


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Institut des Sciences Moléculaires d’Orsay, CNRSUniversité Paris-SudOrsayFrance
  2. 2.U.F.R. de Physique Fondamentale et AppliquéeUniversité Pierre et Marie CurieParisFrance

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