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Haikel Jelassi
Bruno VIARIS DE LESEGNO, Laurence PRUVOST

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A pair of cold atoms is excited by a laser, creating an excited Rb₂ long-range molecule. Trap loss spectroscopy is applied to detect weakly bound states of the excited molecule. The resonance analysis allows to describe the dipole-dipole interaction of such a molecule. The Lu-Fano method is applied in the context of Le Roy-Bernstein theory and gives quantitative results. 0_g^-, 0_u⁺ and 1_g series have been investigated.

• Photoassociation spectroscopy

  A laser beam excites a pair of atoms to an molecular excited state Rb(5s)-Rb(5p). Such a molecule rapidly decays to fast atoms or to a cold molecule. Because the product is no more trapped, trap loss is recorded. The photo-association spectrum is obtained by scanning the laser wavelength.

  Mettre un spectre de PA

• Analysis :

  Close to the dissociation limit, the molecular states are described by a long range potential, namely the dipole-dipole interaction. The first term is :

  V(R) = -c_n/Rⁿ, n=6 for 0^-_g and n=3 for 0_u⁺ and 1_g.

  The Le Roy-Bernstein formula, giving the binding energy of the vibrationnal level v,
  by ε = ε_n (vD_v)^(n-2)/2n can be applied.

• Lu-Fano method and Le-Roy-Bernstein formula

  In the case of molecular series weakly perturbed or weakly coupled to another one, the Lu-Fano method coupled with the Le Roy Bernstein formula allows to characterize the effects of the short range potential or to quantify the coupling with a small set of parameters.

  Short range effects: Photoassociation spectroscopy .. 0g- H. Jelassi, B. Viaris de Lesegno, L. Pruvost, Phys. Rev. A 73, 032501, 2006

  Coupling between two series and pre-dissociation: Photoassociation spectroscopy of ⁸⁷Rb₂ (5s_1/2+5p_1/2)0_u⁺long range molecular states: coupling with the ⁸⁷Rb₂ (5s_1/2+5p_3/2)0_u⁺series analysed using the Lu-Fano approach, H. Jelassi, B. Viaris de Lesegno, L. Pruvost, Phys. Rev. A 74, 012510, 2006

  In the same section :

  • Holographic method/algorithms
  • Lu-Fano method and Le-Roy-Bernstein formula
  • SLM, other uses
  • Phase-only optically addressed Liquid Crystal SLM
  • SLM generalities
  • Intensity modulation
  • Generalised phase contrast method
  • Atom optics using shaped laser beams
  • Laser beam shaping
  • Fast switching AOM/SLM device
  • Short range effects in the long range (5s_1/2-5p_1/2)0_g^- molecular states analysed by the Lu-Fano method
  • Spin-orbit coupling between (5s_1/2-5p_1/2)0_u⁺and (5s_1/2-5p_3/2)0_u⁺ states highlighted by the Lu-Fano method
  • Past results
  • Stages and PhD proposals