Optical manipulation of long-range interactions at the 3s + 3p asymptote of $\mathsf{Na_2}$

Samuelis, C.; Falke, Stephan; Laue, T.; Pellegrini, Philippe; Dulieu, Olivier; Knöckel, H.; Tiemann, E.

doi:10.1140/epjd/e2003-00294-2

Cited by 5 publications

(14 citation statements)

References 30 publications

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“…The physical states to be considered for describing the collisions between 4 He * atoms have to be symmetric under the permutation of the bosonic identical atoms. These are obtained using the symmetrization operator (1 + P ab )/2 acting on the non symmetrized basis (4). Using the transformation in the spin space from the |(S a , S b )S, M S to the |S a , M Sa ; S b , M S b basis, where S a ,S b and M Sa ,M S b are the spins of atoms a, b and their projection on the lab-fixed axis respectively.…”

Section: Appendix a Symmetrized States For Collisions Of Metastable A...mentioning

confidence: 99%

“…We thus do not need to know the wavefunction in the short range domain where it depends critically on the ground state potential. We show in this article that it is then possible to obtain semi-analytical expressions for the light-induced shifts showing explicitly their linear dependence on the s-wave scattering length a which describes the collisions between spin polarized ultracold metastable 4 He * atoms.…”

Section: Introductionmentioning

confidence: 99%

“…They have been studied by several groups dealing with cold alkali atom clouds, both experimentally and theoretically. In particular the cases of Na [3,4] and Li [5,6] have been investigated, and the theoretical background has been provided by [7,8]. Even if the physics behind these experiments is well understood, a detailed comparison between theory and experiment is somehow limited by the incomplete knowledge and the complexity of the molecular potentials for alkalis.…”

Section: Introductionmentioning

confidence: 99%

“…This case is significantly simpler than the case of alkalis for several reasons. First, 4 He * has no hyperfine structure so that the number of channels involved in the calculation is smaller. Second, we consider here photoassociation processes which produce excited molecules in the purely long-range 0 + u potential which can be exactly expressed in terms of atomic parameters (atomic C 3 dipoledipole coefficient and fine structure of the 2 3 P excited atomic state).…”

Section: Introductionmentioning

confidence: 99%

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Analysis of light-induced frequency shifts in the photoassociation of ultracold metastable helium atoms

Portier¹,

Moal²,

Kim³

et al. 2006

J. Phys. B: At. Mol. Opt. Phys.

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We present an exhaustive analysis of the light-induced frequency shifts of the photoassociation lines of ultracold metastable 4 He * atoms in a magnetic trap. The measurements of the shifts of several vibrational levels bound in the purely longrange J = 1, 0 + u potential linked to the 2 3 S 1 − 2 3 P 0 asymptote were reported in a previous paper [1], and are analyzed here. The simplicity of this system makes it very appropriate for a detailed study. Indeed, the purely long-range character of the excited potential allows one to calculate exact excited molecular wavefunctions and to use asymptotic expansions at large internuclear distances of the ground state wavefunctions appearing in Franck-Condon type integrals. Moreover, the number of collisional channels to be considered is strongly reduced by the absence of hyperfine structure for 4 He * and the use of polarized ultracold atoms and polarized light. This allows us to derive semi-analytical expressions for the shifts showing explicitly their linear dependences on the s-wave scattering length a of spin polarized metastable 4 He * atoms. This explains how it is possible to derive the measurement of a from these shifts.

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Section: Appendix a Symmetrized States For Collisions Of Metastable A...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis of light-induced frequency shifts in the photoassociation of ultracold metastable helium atoms

Portier¹,

Moal²,

Kim³

et al. 2006

J. Phys. B: At. Mol. Opt. Phys.

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“…As demonstrated in refs. [6,7] for Na and refs. [8,9] for Li, the light shift of the PA spectra is clearly visible at moderate laser intensity for the ultracold samples.…”

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confidence: 97%

Frequency shifts of photoassociative spectra of ultracold metastable helium atoms: A new measurement of the s -wave scattering length

et al. 2005

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Abstract. -We observe light-induced frequency shifts in one-color photoassociative spectra of magnetically trapped 4 He * atoms in the metastable 2 3 S1 state. A pair of ultracold spinpolarized 2 3 S1 helium atoms is excited into a molecular bound state in the purely long range 0 + u potential connected to the 2 3 S1 −2 3 P0 asymptote. The shift arises from the optical coupling of the molecular excited bound state with the scattering states and the bound states of two colliding 2 3 S1 atoms. We measure the frequency-shifts for several ro-vibrational levels in the 0 + u potential and find a linear dependence on the photoassociation laser intensity. Comparison with a theoretical analysis provides a good indication for the s-wave scattering length a of the quintet ( 5 Σ + g ) potential, a = 7.2 ± 0.6 nm, which is significantly lower than most previous results obtained by non-spectroscopic methods.Introduction. -The present article describes a photoassociation (PA) experiment with ultracold helium atoms in the metastable (τ ∼ 8000 s) 2 3 S 1 state. Since the development of laser cooling techniques which provide sub-millikelvin ultracold atomic samples, the photoassociation of such atoms has been of much interest and provides detailed information on the inter-atomic interaction and collisional properties [1]. The measurement of the PA spectra allows very precise measurement of the s-wave scattering length [2-5], a crucial parameter for understanding the collisional properties of the ultracold atoms or molecules and the dynamic behavior of the condensate.One of the interesting phenomena in PA is the light induced frequency shift of the PA spectra. As demonstrated in Ref. [6,7] for Na and Ref. [8,9] for Li, the light shift of the PA spectra is clearly visible at moderate laser intensity for the ultracold samples. The observed shifts are described by a theoretical calculation based on the theory developed by Bohn and Julienne [10] or Simoni et al. [11]. The laser light couples the excited molecular bound state with the continuum of scattering states and the ground molecular bound states, which results in the shift of the PA resonance curve when the laser frequency is swept over the resonance. The dependance of the shift on a has two origins. First, in the limit of large and positive scattering length a, the energy of the least bound-state E LBS in the ground state potential

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Photoassociation spectroscopy of the B Π1 state of LiCs

Grochola

Pashov

Deiglmayr

et al. 2009

The Journal of Chemical Physics

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We present an accurate potential energy curve of the B (1)Pi state in the LiCs molecule for which vibrational levels between v(') = 0 and v(') = 35 (bound by 11.4 GHz) were measured by photoassociation spectroscopy in an ultracold ensemble of (7)Li and (133)Cs atoms. By the combination of conventional spectroscopic data of the B-X system and the new photoassociation measurements a very precise value of the dissociation energy of the ground state X (1)Sigma(+) of LiCs was determined to be D(0) = 5783.495(5) cm(-1).

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Optical manipulation of long-range interactions at the 3s + 3p asymptote of $\mathsf{Na_2}$

Cited by 5 publications

References 30 publications

Analysis of light-induced frequency shifts in the photoassociation of ultracold metastable helium atoms

Analysis of light-induced frequency shifts in the photoassociation of ultracold metastable helium atoms

Frequency shifts of photoassociative spectra of ultracold metastable helium atoms: A new measurement of the s -wave scattering length

Photoassociation spectroscopy of the B Π1 state of LiCs

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