We study long-range diagonal adiabatic corrections to the interaction potentials of the ground state of homonuclear alkali-metal dimers. We show that in the long-range limit the diagonal adiabatic matrix elements may be expressed as a series of inverse powers of the internuclear distance. Each of the nonzero coefficients of this expansion is a mass-dependent correction term to the dispersion coefficients. They are computed by using a complex integral representation, that transforms the molecular problem into an atomic one. Numerical results are presented.We study long-range diagonal adiabatic corrections to the interaction potentials of the ground state of homonuclear alkali-metal dimers. We show that in the long-range limit the diagonal adiabatic matrix elements may be expressed as a series of inverse powers of the internuclear distance. Each of the nonzero coefficients of this expansion is a mass-dependent correction term to the dispersion coefficients. They are computed by using a complex integral representation, that transforms the molecular problem into an atomic one. Numerical results are presented.

Physical Review AMar 1, 199812 citations

Long-range potentials for two-species alkali-metal atoms

M. Marinescu, H. R. Sadeghpour

We address a growing interest in trapping and cooling of mixed-species alkali-metal atoms. Long-range coefficients that arise in the multipole expansion of molecular potentials for unlike alkali-metal dimers are calculated. The coefficients for the heteronuclear alkali-metal dimers corresponding to different molecular symmetries that separate to $\mathrm{nS}\ensuremath{-}{n}^{\ensuremath{'}}S,nS\ensuremath{-}{n}^{\ensuremath{'}}P,nS\ensuremath{-}{n}^{\ensuremath{'}}D,$ and $\mathrm{nP}\ensuremath{-}{n}^{\ensuremath{'}}P$ atomic levels are computed with high precision. We consider cases where in the infinite separation limit, one atom is in the ground state and the other is in one of the lowest S, P, and D excited states and both atoms are in their lowest excited P states. We find the long-range potentials for $\mathrm{Rb}(5S)\ensuremath{-}\mathrm{C}\mathrm{s}(6S),\mathrm{Rb}(6S)\ensuremath{-}\mathrm{C}\mathrm{s}(6S),\mathrm{K}(4S)\ensuremath{-}\mathrm{R}\mathrm{b}(5P){ }^{1,3}\ensuremath{\Sigma},\mathrm{K}(4P)\ensuremath{-}\mathrm{C}\mathrm{s}(6P){ }^{1,3}\ensuremath{\Sigma},$ and $\mathrm{Rb}(5S)\ensuremath{-}\mathrm{N}\mathrm{a}(3D){ }^{1,3}\ensuremath{\Sigma}$ molecules to be the most attractive. The $\mathrm{K}(4S)\ensuremath{-}\mathrm{R}\mathrm{b}(5P)$ dimer represents the best candidate molecule for ultracold photoassociative spectroscopy. We also find the $\mathrm{K}(4P)\ensuremath{-}\mathrm{C}\mathrm{s}(6P)$ and $\mathrm{Rb}(5S)\ensuremath{-}\mathrm{K}(4P)$ dimers to form, respectively, the most attractive and the most repulsive long-range potentials. The present calculation is in good agreement with experimentally determined value for the ${1/R}^{6}$ van der Waals coefficient for the interaction between $\mathrm{Cs}(6S)$ and $\mathrm{Li}(2P)$ atoms.We address a growing interest in trapping and cooling of mixed-species alkali-metal atoms. Long-range coefficients that arise in the multipole expansion of molecular potentials for unlike alkali-metal dimers are calculated. The coefficients for the heteronuclear alkali-metal dimers corresponding to different molecular symmetries that separate to $\mathrm{nS}\ensuremath{-}{n}^{\ensuremath{'}}S,nS\ensuremath{-}{n}^{\ensuremath{'}}P,nS\ensuremath{-}{n}^{\ensuremath{'}}D,$ and $\mathrm{nP}\ensuremath{-}{n}^{\ensuremath{'}}P$ atomic levels are computed with high precision. We consider cases where in the infinite separation limit, one atom is in the ground state and the other is in one of the lowest S, P, and D excited states and both atoms are in their lowest excited P states. We find the long-range potentials for $\mathrm{Rb}(5S)\ensuremath{-}\mathrm{C}\mathrm{s}(6S),\mathrm{Rb}(6S)\ensuremath{-}\mathrm{C}\mathrm{s}(6S),\mathrm{K}(4S)\ensuremath{-}\mathrm{R}\mathrm{b}(5P){ }^{1,3}\ensuremath{\Sigma},\mathrm{K}(4P)\ensuremath{-}\mathrm{C}\mathrm{s}(6P){ }^{1,3}\ensuremath{\Sigma},$ and $\mathrm{Rb}(5S)\ensuremath{-}\mathrm{N}\mathrm{a}(3D){ }^{1,3}\ensuremath{\Sigma}$ molecules to be the most attractive. The $\mathrm{K}(4S)\ensuremath{-}\mathrm{R}\mathrm{b}(5P)$ dimer represents the best candidate molecule for ultracold photoassociative spectroscopy. We also find the $\mathrm{K}(4P)\ensuremath{-}\mathrm{C}\mathrm{s}(6P)$ and $\mathrm{Rb}(5S)\ensuremath{-}\mathrm{K}(4P)$ dimers to form, respectively, the most attractive and the most repulsive long-range potentials. The present calculation is in good agreement with experimentally determined value for the ${1/R}^{6}$ van der Waals coefficient for the interaction between $\mathrm{Cs}(6S)$ and $\mathrm{Li}(2P)$ atoms.

Physical Review AJan 1, 1999145 citations

Molecular spectroscopy and quantum control of homonuclear alkali dimers

Brendan Rowe

May 18, 20260 citations

Observation of the pure long-range 1u state of an alkali-metal dimer by photoassociative spectroscopy

Xiaotian Wang, He Wang, P. L. Gould +3 more

The pure long-range ${1}_{u}$ state of an alkali-metal dimer is observed in ${}^{39}{\mathrm{K}}_{2}$ using photoassociative spectroscopy of ultracold atoms. High-resolution spectra for vibrational levels $v=\stackrel{\ensuremath{\rightarrow}}{0}7$ are recorded by resonance-enhanced two-photon ionization. Strong rotation-hyperfine couplings are observed. Major molecular constants and a hyperfine structure analysis are presented. This ${1}_{u}$ state is useful as an ungerade Franck-Condon ``window'' at large internuclear distance for studies of highly excited long-range interactions.The pure long-range ${1}_{u}$ state of an alkali-metal dimer is observed in ${}^{39}{\mathrm{K}}_{2}$ using photoassociative spectroscopy of ultracold atoms. High-resolution spectra for vibrational levels $v=\stackrel{\ensuremath{\rightarrow}}{0}7$ are recorded by resonance-enhanced two-photon ionization. Strong rotation-hyperfine couplings are observed. Major molecular constants and a hyperfine structure analysis are presented. This ${1}_{u}$ state is useful as an ungerade Franck-Condon ``window'' at large internuclear distance for studies of highly excited long-range interactions.

Physical Review AJun 1, 199822 citations

{1/R}^{6}

van der Waals coefficient for the interaction between

\mathrm{Cs}(6S)

and

\mathrm{Li}(2P)

atoms.

The pure long-range

{1}_{u}

state of an alkali-metal dimer is observed in

{}^{39}{\mathrm{K}}_{2}

using photoassociative spectroscopy of ultracold atoms. High-resolution spectra for vibrational levels $v=\stackrel{\ensuremath{\rightarrow}}{0}7$ are recorded by resonance-enhanced two-photon ionization. Strong rotation-hyperfine couplings are observed. Major molecular constants and a hyperfine structure analysis are presented. This

{1}_{u}

state is useful as an ungerade Franck-Condon ``window'' at large internuclear distance for studies of highly excited long-range interactions.