arXiv:1508.02446

Light Scattering Spectroscopy: A New Method for Precise Determination of Atomic Matrix Elements

Mark D. Havey

Published Aug 10, 2015• 0 citations

Abstract

A new approach to precise determination of atomic matrix elements is described whereby measurement of spectral locations of zeros in the Rayleigh scattering cross-section allows frequency-domain extraction of matrix elements in terms of a fiducial quantity. Illustrations are made for scattering off the ground state in Li and Cs.

DOI: 10.48550/arxiv.1508.02446

Related papers

Light scattering spectroscopy: A new method for determination of atomic matrix elements

Mark D. Havey

Physics Letters AApr 1, 199810 citations

Combined experimental and theoretical study of the 6p2Pj→8s2S1/2 relative transition matrix elements in atomic Cs

A. Sieradzan, Mark D. Havey, Marianna S. Safronova

Physical Review AFeb 6, 200419 citations

Atom interferometric studies of light scattering - A new technique for measuring atomic recoil

Scott Beattie

Jan 1, 20091 citation

Accuracy of molecular data in the understanding of ultracold collisions

Olivier Dulieu, Paul S. Julienne, J. Weiner

Physical Review AJan 1, 199415 citations

A study of atom localization in an optical lattice by analysis of the scattered light

Christophe Jurczak

Journal of Modern OpticsOct 1, 19970 citations

Universality and non-universality in the heteronuclear Efimov scenario with large mass imbalance

Juris Ulmanis

Jan 1, 20152 citations

arXiv:1508.02446

Light Scattering Spectroscopy: A New Method for Precise Determination of Atomic Matrix Elements

Mark D. Havey

Published Aug 10, 2015• 0 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.1508.02446

Related papers

Light scattering spectroscopy: A new method for determination of atomic matrix elements

Mark D. Havey

Physics Letters AApr 1, 199810 citations

Combined experimental and theoretical study of the 6p2Pj→8s2S1/2 relative transition matrix elements in atomic Cs

A. Sieradzan, Mark D. Havey, Marianna S. Safronova

A combined experimental and theoretical study of transition matrix elements of the $6p{}^{2}{P}_{j}\ensuremath{\rightarrow}8s{}^{2}{S}_{1/2}$ transition in atomic Cs is reported. Measurements of the polarization-dependent two-photon excitation spectrum associated with the transition were made in an $\ensuremath{\approx}200{\mathrm{cm}}^{\ensuremath{-}1}$ range on the low-frequency side of the $6s{}^{2}{S}_{1/2}\ensuremath{\rightarrow}6p{}^{2}{P}_{3/2}$ resonance. The measurements depend parametrically on the relative transition matrix elements, but also are sensitive to far-off-resonance $6s{}^{2}{S}_{1/2}\ensuremath{\rightarrow}\mathrm{np}{}^{2}{P}_{j}\ensuremath{\rightarrow}8s{}^{2}{S}_{1/2}$ transitions. In addition, as the measured quantities are ratios of polarization-dependent intensities at a single-excitation frequency, they are quite insensitive to a variety of common-mode systematic effects; matrix-element ratios may then be determined to high accuracy. In the past, the matrix-element dependence has yielded a generalized sum rule, the value of which is dependent on sums of relative two-photon transition matrix elements. In the present case, best available determinations from other experiments are combined with theoretical matrix elements to extract the ratio of transition matrix elements for the $6p{}^{2}{P}_{j}\ensuremath{\rightarrow}8s{}^{2}{S}_{1/2}(j=1/2,3/2)$ transition. The resulting experimental value of 1.423(2) is in excellent agreement with the theoretical value, calculated using a relativistic all-order method, of 1.425(2).A combined experimental and theoretical study of transition matrix elements of the $6p{}^{2}{P}_{j}\ensuremath{\rightarrow}8s{}^{2}{S}_{1/2}$ transition in atomic Cs is reported. Measurements of the polarization-dependent two-photon excitation spectrum associated with the transition were made in an $\ensuremath{\approx}200{\mathrm{cm}}^{\ensuremath{-}1}$ range on the low-frequency side of the $6s{}^{2}{S}_{1/2}\ensuremath{\rightarrow}6p{}^{2}{P}_{3/2}$ resonance. The measurements depend parametrically on the relative transition matrix elements, but also are sensitive to far-off-resonance $6s{}^{2}{S}_{1/2}\ensuremath{\rightarrow}\mathrm{np}{}^{2}{P}_{j}\ensuremath{\rightarrow}8s{}^{2}{S}_{1/2}$ transitions. In addition, as the measured quantities are ratios of polarization-dependent intensities at a single-excitation frequency, they are quite insensitive to a variety of common-mode systematic effects; matrix-element ratios may then be determined to high accuracy. In the past, the matrix-element dependence has yielded a generalized sum rule, the value of which is dependent on sums of relative two-photon transition matrix elements. In the present case, best available determinations from other experiments are combined with theoretical matrix elements to extract the ratio of transition matrix elements for the $6p{}^{2}{P}_{j}\ensuremath{\rightarrow}8s{}^{2}{S}_{1/2}(j=1/2,3/2)$ transition. The resulting experimental value of 1.423(2) is in excellent agreement with the theoretical value, calculated using a relativistic all-order method, of 1.425(2).

Physical Review AFeb 6, 200419 citations

Atom interferometric studies of light scattering - A new technique for measuring atomic recoil

Scott Beattie

Jan 1, 20091 citation

Accuracy of molecular data in the understanding of ultracold collisions

Olivier Dulieu, Paul S. Julienne, J. Weiner

We show through close-coupled quantum-scattering calculations that the cross section for fine-structure-changing collisions between excited $^{2}$ ${\mathit{P}}_{3/2}$ and ground $^{2}$ ${\mathit{S}}_{1/2}$ A atoms of the same species, where A=Rb or Cs, is very sensitive to the molecular potentials and spin-orbit matrix elements of the alkali-metal-dimer species. Spectroscopic studies of these species are needed to extract accurate parameters. New high-resolution photoassociation spectroscopy of trapped atoms could be used for this purpose.We show through close-coupled quantum-scattering calculations that the cross section for fine-structure-changing collisions between excited $^{2}$${\mathit{P}}_{3/2}$ and ground $^{2}$${\mathit{S}}_{1/2}$ A atoms of the same species, where A=Rb or Cs, is very sensitive to the molecular potentials and spin-orbit matrix elements of the alkali-metal-dimer species. Spectroscopic studies of these species are needed to extract accurate parameters. New high-resolution photoassociation spectroscopy of trapped atoms could be used for this purpose.

Physical Review AJan 1, 199415 citations

A study of atom localization in an optical lattice by analysis of the scattered light

Christophe Jurczak

Journal of Modern OpticsOct 1, 19970 citations

Universality and non-universality in the heteronuclear Efimov scenario with large mass imbalance

Juris Ulmanis

This thesis investigates universal and non-universal aspects of few-body physics in a mass-imbalanced mixture of ultracold bosonic $^{133}$ Cs and fermionic $^6$ Li atoms. For this purpose an experimental apparatus for the creation of quantum degenerate gases has been constructed. Using radio-frequency association of weakly-bound LiCs molecules and additional atom-loss spectroscopy we determine the two-body interaction properties between Li and Cs atoms at low collision energies. The analysis with a coupled-channels calculation yields precise singlet and triplet electronic ground state molecular potential curves, from which scattering lengths and positions of Fano-Feshbach resonances are extracted. These results represent almost a tenfold improvement over the previous determination, and are used to study few-body recombination processes and, for the first time, their dependence on the interaction strength between the heavy atoms close to two broad scattering resonances at various temperatures. Measurements of three-body loss rates reveal two series of three and two consecutive LiCs $_2$ Efimov resonances that demonstrate the universal scaling factor 4.9 between the first and second excited state resonances. The ground state resonance deviates from the discrete scaling law. By the use of hyperspherical formalism with either pairwise zero-range or Lennard-Jones model potentials we identify the van der Waals interaction between Cs atoms as a significant source of these modifications.This thesis investigates universal and non-universal aspects of few-body physics in a mass-imbalanced mixture of ultracold bosonic $^{133}$Cs and fermionic $^6$Li atoms. For this purpose an experimental apparatus for the creation of quantum degenerate gases has been constructed. Using radio-frequency association of weakly-bound LiCs molecules and additional atom-loss spectroscopy we determine the two-body interaction properties between Li and Cs atoms at low collision energies. The analysis with a coupled-channels calculation yields precise singlet and triplet electronic ground state molecular potential curves, from which scattering lengths and positions of Fano-Feshbach resonances are extracted. These results represent almost a tenfold improvement over the previous determination, and are used to study few-body recombination processes and, for the first time, their dependence on the interaction strength between the heavy atoms close to two broad scattering resonances at various temperatures. Measurements of three-body loss rates reveal two series of three and two consecutive LiCs$_2$ Efimov resonances that demonstrate the universal scaling factor 4.9 between the first and second excited state resonances. The ground state resonance deviates from the discrete scaling law. By the use of hyperspherical formalism with either pairwise zero-range or Lennard-Jones model potentials we identify the van der Waals interaction between Cs atoms as a significant source of these modifications.

Jan 1, 20152 citations

We show through close-coupled quantum-scattering calculations that the cross section for fine-structure-changing collisions between excited

^{2}

{\mathit{P}}_{3/2}

and ground

^{2}

{\mathit{S}}_{1/2}

A atoms of the same species, where A=Rb or Cs, is very sensitive to the molecular potentials and spin-orbit matrix elements of the alkali-metal-dimer species. Spectroscopic studies of these species are needed to extract accurate parameters. New high-resolution photoassociation spectroscopy of trapped atoms could be used for this purpose.

This thesis investigates universal and non-universal aspects of few-body physics in a mass-imbalanced mixture of ultracold bosonic

^{133}

Cs and fermionic

^6

Li atoms. For this purpose an experimental apparatus for the creation of quantum degenerate gases has been constructed. Using radio-frequency association of weakly-bound LiCs molecules and additional atom-loss spectroscopy we determine the two-body interaction properties between Li and Cs atoms at low collision energies. The analysis with a coupled-channels calculation yields precise singlet and triplet electronic ground state molecular potential curves, from which scattering lengths and positions of Fano-Feshbach resonances are extracted. These results represent almost a tenfold improvement over the previous determination, and are used to study few-body recombination processes and, for the first time, their dependence on the interaction strength between the heavy atoms close to two broad scattering resonances at various temperatures. Measurements of three-body loss rates reveal two series of three and two consecutive LiCs

_2

Efimov resonances that demonstrate the universal scaling factor 4.9 between the first and second excited state resonances. The ground state resonance deviates from the discrete scaling law. By the use of hyperspherical formalism with either pairwise zero-range or Lennard-Jones model potentials we identify the van der Waals interaction between Cs atoms as a significant source of these modifications.