arXiv:physics/0303006 · Physical Review A

Calculation of the interspeciess-wave scattering length in an ultracold Na-Rb vapor

S. B. Weiss, Mishkatul Bhattacharya, N. P. Bigelow

Published Oct 20, 2003• 33 citations

Abstract

We report the calculation of the interspecies scattering length for the sodium-rubidium (Na-Rb) system. We present improved hybrid potentials for the singlet ${X}^{1}\ensuremath{\Sigma}{}^{+}$ and triplet ${a}^{3}{\ensuremath{\Sigma}}^{+}$ ground states of the NaRb molecule, and calculate the singlet and triplet scattering lengths ${a}_{s}$ and ${a}_{t}$ for the isotopomers ${}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}$ and ${}^{23}{\mathrm{Na}}^{85}\mathrm{Rb}.$ Using these values, we assess the prospects for producing a stable two-species Bose-Einstein condensate in the Na-Rb system.

DOI: 10.1103/physreva.68.042708

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arXiv:physics/0303006 · Physical Review A

Calculation of the interspeciess-wave scattering length in an ultracold Na-Rb vapor

S. B. Weiss, Mishkatul Bhattacharya, N. P. Bigelow

Published Oct 20, 2003• 33 citations

arXiv HTML PDF

Abstract

We report the calculation of the interspecies scattering length for the sodium-rubidium (Na-Rb) system. We present improved hybrid potentials for the singlet

{X}^{1}\ensuremath{\Sigma}{}^{+}

and triplet

{a}^{3}{\ensuremath{\Sigma}}^{+}

ground states of the NaRb molecule, and calculate the singlet and triplet scattering lengths

{a}_{s}

and

{a}_{t}

for the isotopomers

{}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}

and

{}^{23}{\mathrm{Na}}^{85}\mathrm{Rb}.

Using these values, we assess the prospects for producing a stable two-species Bose-Einstein condensate in the Na-Rb system.

DOI: 10.1103/physreva.68.042708

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Collisional Properties of Ultracold K-Rb Mixtures

G. Ferrari, M. Inguscio, W. Jastrzȩbski +3 more

We determine the interspecies $s$ -wave triplet scattering length ${a}_{3}$ for all K-Rb isotopic mixtures by measuring the elastic cross section for collisions between $^{\mathrm{41}}\mathrm{K}$ and $^{87}\mathrm{R}\mathrm{b}$ in different temperature regimes. The positive value ${a}_{3}=+{163}_{\ensuremath{-}12}^{+57}{a}_{0}$ ensures the stability against collapse of binary $^{41}\mathrm{K}\ensuremath{-}^{87}\mathrm{R}\mathrm{b}$ Bose-Einstein condensates. For the fermion-boson mixture $^{40}\mathrm{K}\ensuremath{-}^{87}\mathrm{R}\mathrm{b}$, we obtain a large and negative scattering length which implies an efficient sympathetic cooling of the fermionic species down to the degenerate regime.We determine the interspecies $s$-wave triplet scattering length ${a}_{3}$ for all K-Rb isotopic mixtures by measuring the elastic cross section for collisions between $^{\mathrm{41}}\mathrm{K}$ and $^{87}\mathrm{R}\mathrm{b}$ in different temperature regimes. The positive value ${a}_{3}=+{163}_{\ensuremath{-}12}^{+57}{a}_{0}$ ensures the stability against collapse of binary $^{41}\mathrm{K}\ensuremath{-}^{87}\mathrm{R}\mathrm{b}$ Bose-Einstein condensates. For the fermion-boson mixture $^{40}\mathrm{K}\ensuremath{-}^{87}\mathrm{R}\mathrm{b}$, we obtain a large and negative scattering length which implies an efficient sympathetic cooling of the fermionic species down to the degenerate regime.

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James P. Burke, John L. Bohn, Brett D. Esry +1 more

We calculate binary collision parameters for mixtures of ultracold gases of ${}^{85}\mathrm{Rb}$ and ${}^{87}\mathrm{Rb}$ atoms. We predict a large positive triplet scattering length for mixed-isotope collisions, which implies that a stable mixed-isotope double condensate can be formed by sympathetic evaporative cooling. Moreover, collisions between ${}^{85}\mathrm{Rb}$ and ${}^{87}\mathrm{Rb}$ atoms in the lowest hyperfine manifold exhibit magnetic-field-induced Feshbach resonances which should allow partial control of the interaction between condensates. These considerations make Rb an ideal system for the study of interpenetrating bosonic superfluids.We calculate binary collision parameters for mixtures of ultracold gases of ${}^{85}\mathrm{Rb}$ and ${}^{87}\mathrm{Rb}$ atoms. We predict a large positive triplet scattering length for mixed-isotope collisions, which implies that a stable mixed-isotope double condensate can be formed by sympathetic evaporative cooling. Moreover, collisions between ${}^{85}\mathrm{Rb}$ and ${}^{87}\mathrm{Rb}$ atoms in the lowest hyperfine manifold exhibit magnetic-field-induced Feshbach resonances which should allow partial control of the interaction between condensates. These considerations make Rb an ideal system for the study of interpenetrating bosonic superfluids.

Physical Review LettersMar 9, 1998108 citations

We report the calculation of the interspecies scattering length for the sodium-rubidium (Na-Rb) system. We present improved hybrid potentials for the singlet

{X}^{1}\ensuremath{\Sigma}{}^{+}

and triplet

{a}^{3}{\ensuremath{\Sigma}}^{+}

ground states of the NaRb molecule, and calculate the singlet and triplet scattering lengths

{a}_{s}

and

{a}_{t}

for the isotopomers

{}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}

and

{}^{23}{\mathrm{Na}}^{85}\mathrm{Rb}.

Using these values, we assess the prospects for producing a stable two-species Bose-Einstein condensate in the Na-Rb system.

We determine the interspecies

s

-wave triplet scattering length

{a}_{3}

for all K-Rb isotopic mixtures by measuring the elastic cross section for collisions between

^{\mathrm{41}}\mathrm{K}

and

^{87}\mathrm{R}\mathrm{b}

in different temperature regimes. The positive value ${a}_{3}=+{163}_{\ensuremath{-}12}^{+57}{a}_{0}$ ensures the stability against collapse of binary $^{41}\mathrm{K}\ensuremath{-}^{87}\mathrm{R}\mathrm{b}$ Bose-Einstein condensates. For the fermion-boson mixture $^{40}\mathrm{K}\ensuremath{-}^{87}\mathrm{R}\mathrm{b}$, we obtain a large and negative scattering length which implies an efficient sympathetic cooling of the fermionic species down to the degenerate regime.

We have determined the scattering lengths for collisions between the different isotopes of two potassium atoms in singlet and triplet molecular states of

{\mathrm{K}}_{2}

. We show that for the two bosonic species

{}^{39}\mathrm{K}

and

{}^{41}\mathrm{K}

the scattering lengths are positive, hence, leading to stable condensates. The fermionic isotope

{}^{40}\mathrm{K}

also has positive scattering lengths, but the triplet value is nearly zero, hence, a quasi-non-interacting fermionic gas. We also give results for the interspecies collisions. We conclude that double condensates of

{}^{39}\mathrm{K}

and

{}^{41}\mathrm{K}

are possible for purely spin-polarized atoms, and sympathetic cooling between the bosonic

{}^{39}\mathrm{K}

and the fermionic

{}^{40}\mathrm{K}

will be efficient due to low spin-flip rates and a sizable interspecies scattering length.

We have successfully prepared an optically trapped ultracold mixture of

{}^{23}

Na and

{}^{87}

Rb atoms and studied their interspecies Feshbach resonances. Using two different spin combinations, several

s

- and

p

-wave resonances are identified by observing high inelastic losses and temperature increases for both species near resonant magnetic field values. The two

s

-wave resonances observed below 500 G between atoms in their lowest-energy levels are possible candidates for Feshbach molecule association. Our results are well characterized by a coupled-channel model which also refines the ground-state interaction potentials between

{}^{23}

Na and

{}^{87}

Rb. This work opens up the prospect for preparing ultracold ensembles of ground-state bosonic NaRb molecules which are chemically stable and can provide strong dipolar interactions.

We calculate binary collision parameters for mixtures of ultracold gases of

{}^{85}\mathrm{Rb}

and

{}^{87}\mathrm{Rb}

atoms. We predict a large positive triplet scattering length for mixed-isotope collisions, which implies that a stable mixed-isotope double condensate can be formed by sympathetic evaporative cooling. Moreover, collisions between

{}^{85}\mathrm{Rb}

and

{}^{87}\mathrm{Rb}

atoms in the lowest hyperfine manifold exhibit magnetic-field-induced Feshbach resonances which should allow partial control of the interaction between condensates. These considerations make Rb an ideal system for the study of interpenetrating bosonic superfluids.