Model study on the photoassociation of a pair of trapped atoms into an ultralong-range molecule

Deb, Bimalendu; You, Li

doi:10.1103/physreva.68.033408

Cited by 10 publications

(13 citation statements)

References 56 publications

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“…Therefore, the present work compares the results obtained using realistic atomic interaction potentials with the ones obtained with either the energydependent or -independent pseudopotential. Photoassociation in tight traps has been studied theoretically before [21]. The energy-independent pseudopotential approximation was adopted and only photoassociation into long-range states discussed.…”

Section: Introductionmentioning

confidence: 99%

Influence of a tight isotropic harmonic trap on photoassociation in ultracold homonuclear alkali-metal gases

Grishkevich

Sáenz

2007

Phys. Rev. A

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The influence of a tight isotropic harmonic trap on photoassociation of two ultracold alkali atoms forming a homonuclear diatomic is investigated using realistic atomic interaction potentials. Confinement of the initial atom pair due to the trap leads to a uniform strong enhancement of the photoassociation rate to most, but also to a strongly suppressed rate for some final states. Thus tighter traps do not necessarily enhance the photoassociation rate. A further massive enhancement of the rate is found for strong interatomic interaction potentials. The details of this interaction play a minor role, except for large repulsive interactions for which a sharp window occurs in the photoassociation spectrum as is known from the trap-free case. A comparison with simplified models describing the atomic interaction like the pseudopotential approximation shows that they often provide reasonable estimates for the trap-induced enhancement of the photoassociation rate even if the predicted rates can be completely erroneous.

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Section: Introductionmentioning

confidence: 99%

Influence of a tight isotropic harmonic trap on photoassociation in ultracold homonuclear alkali-metal gases

Grishkevich

Sáenz

2007

Phys. Rev. A

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“…In order to normalize the incoming channel function its asymptotic form is matched using Eq. (9). The value of a sc is automatically determined by the matching procedure.…”

Section: B Computational Detailsmentioning

confidence: 99%

“…For tight trapping conditions the influence of the additional potential can become essential. For example, processes of molecule formation via photoassociation (PA) where two ultracold atoms absorb a photon and form a bound excited molecule [6,7] can be more efficient, if performed under tight trapping conditions as they are accessible in OLs [8,9,10].…”

Section: Introductionmentioning

confidence: 99%

“…Single-channel (SC) approximations allowed to study the influence of the scattering length as it results from an MFR for three-body collisions [15,16] and in the presence of an external trap [9,10,17]. However, to our knowledge it is not yet well established to what extent SC approximations describe correctly the behavior of a coupled MC system, if more than one channel contributes significantly.…”

Section: Introductionmentioning

confidence: 99%

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Mimicking multichannel scattering with single-channel approaches

et al. 2010

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The collision of two atoms is an intrinsic multi-channel (MC) problem as becomes especially obvious in the presence of Feshbach resonances. Due to its complexity, however, single-channel (SC) approximations, which reproduce the long-range behavior of the open channel, are often applied in calculations. In this work the complete MC problem is solved numerically for the magnetic Feshbach resonances (MFRs) in collisions between generic ultracold 6 Li and 87 Rb atoms in the ground state and in the presence of a static magnetic field B. The obtained MC solutions are used to test various existing as well as presently developed SC approaches. It was found that many aspects even at short internuclear distances are qualitatively well reflected. This can be used to investigate molecular processes in the presence of an external trap or in many-body systems that can be feasibly treated only within the framework of the SC approximation. The applicability of various SC approximations is tested for a transition to the absolute vibrational ground state around an MFR. The conformance of the SC approaches is explained by the two-channel approximation for the MFR.

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“…The energy-dependent values of the scattering length are obtained using a solution for the pseudopotential energy and valid for a harmonic trap [37] Γ − 1 2…”

Section: Possible Reasons Of Deviation Between Theory and Experimentsmentioning

confidence: 99%

Theoretical description of two ultracold atoms in a single site of a three-dimensional optical lattice using realistic interatomic interaction potentials

Grishkevich

Sáenz

2009

Phys. Rev. A

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A theoretical approach was developed for an exact numerical description of a pair of ultracold atoms interacting via a central potential that are trapped in a three-dimensional optical lattice. The coupling of center-of-mass and relative-motion coordinates is explicitly considered using a configuration-interaction (exact-diagonalization) technique. Deviations from the harmonic approximation are discussed for several heteronuclear alkali-metal atom pairs trapped in a single site of an optical lattice. The consequences are discussed for the analysis of a recent experiment [C. Ospelkaus et al, Phys. Rev. Lett. 97, 120402 (2006)] in which radio-frequency association was used to create diatomic molecules from a fermionic and a bosonic atom and to measure their binding energies close to a magnetic Feshbach resonance.

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Model study on the photoassociation of a pair of trapped atoms into an ultralong-range molecule

Cited by 10 publications

References 56 publications

Influence of a tight isotropic harmonic trap on photoassociation in ultracold homonuclear alkali-metal gases

Influence of a tight isotropic harmonic trap on photoassociation in ultracold homonuclear alkali-metal gases

Mimicking multichannel scattering with single-channel approaches

Theoretical description of two ultracold atoms in a single site of a three-dimensional optical lattice using realistic interatomic interaction potentials

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