Shape resonances in ground-state diatomic molecules: General trends and the example of RbCs

Londoño, Beatriz; Mahecha, Jorge; Luc‐Koenig, E.; Crubellier, A.

doi:10.1103/physreva.82.012510

Cited by 30 publications

(76 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, the nodal line technique to solve the Schrödinger equation in the asymptotic approximation was employed to determine the scattering length [9,10] and potential energy curves [11] in several diatomic molecules. The formalism was extended to shape resonances [12,13], which occur when a scattering state becomes trapped behind the centrifugal barrier for partial waves with ℓ > 0, with ℓ being the rotational quantum number. This extension has allowed to capture all essentials of shape resonances in terms of a single parameter, the s-wave scattering length which universally characterizes the long-range two-body interaction.…”

Section: Introductionmentioning

confidence: 99%

“…These manifold proposals for control using non-resonant light call for an extension of asymptotic models [12,13] to account for the coupling with non-resonant light via the polarizability anisotropy. Such an approach is promising as long as the relevant physics occurs at large interatomic separations and in an energy region close to threshold.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Asymptotic model for shape resonance control of diatomics by intense non-resonant light

et al. 2015

View full text Add to dashboard Cite

We derive a universal model for atom pairs interacting with non-resonant light via the polarizability anisotropy, based on the long range properties of the scattering. The corresponding dynamics can be obtained using a nodal line technique to solve the asymptotic Schrödinger equation. It consists of imposing physical boundary conditions at long range and vanishing the wavefunction at a position separating the inner zone and the asymptotic region. We show that nodal lines which depend on the intensity of the non-resonant light can satisfactorily account for the effect of the polarizability at short range. The approach allows to determine the resonance structure, energy, width, channel mixing and hybridization even for narrow resonances.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Asymptotic model for shape resonance control of diatomics by intense non-resonant light

et al. 2015

View full text Add to dashboard Cite

show abstract

“…The truncated 1/R 6 model potential, V m = −C 6 /R 6 , is limited by a hard-core potential wall at a distance R 0 , where R is the internuclear separation of two atoms. This model potential has been used to explore threshold effects in photoassociation of cold atoms [29] and single-channel shape resonances [30]. Using the threshold properties of the model potential, we derive an analytical expression for the quantum-defect matrix Y.…”

Section: Introductionmentioning

confidence: 99%

Prediction of Feshbach resonances using an analytical quantum-defect matrix

et al. 2012

View full text Add to dashboard Cite

We present a theoretical model for describing ultracold atomic collision based on the multichannel quantumdefect theory. An analytical expression for the quantum-defect matrix Y is derived for the truncated 1/R 6 model potential, and threshold behaviors of the quantum-defect parameters are discussed. The model allows us to predict the Feshbach resonances when the singlet and triplet scattering lengths are known or to fit the scattering lengths when a couple of Feshbach resonances is located experimentally. As an illustrative example, we investigate the 6 Li-40 K scattering. The theoretical results agree quite well with experimental values.

show abstract

“…3). Similarly in [27] the crucial role of a s for the analysis of the ultracold scattering near the shape resonances in free space was shown. We denote its value a …”

Section: Results Analysis and Discussionmentioning

confidence: 99%

Resonantd-wave scattering in harmonic waveguides

Giannakeas¹,

Melezhik²,

Schmelcher³

2011

Phys. Rev. A

View full text Add to dashboard Cite

We observe and analyze d-wave resonant scattering of bosons in tightly confining harmonic waveguides. It is shown that the d-wave resonance emerges in the quasi-1D regime as an imprint of a 3D d-wave shape resonance. A scaling relation for the position of the d-wave resonance is provided. By changing the trap frequency, ultracold scattering can be continuously tuned from s-wave to d-wave resonant behavior. The effect can be utilized for the realization of ultracold atomic gases interacting via higher partial waves and opens a novel possibility for studying strongly correlated atomic systems beyond s-wave physics.

show abstract

Shape resonances in ground-state diatomic molecules: General trends and the example of RbCs

Cited by 30 publications

References 51 publications

Asymptotic model for shape resonance control of diatomics by intense non-resonant light

Asymptotic model for shape resonance control of diatomics by intense non-resonant light

Prediction of Feshbach resonances using an analytical quantum-defect matrix

Resonantd-wave scattering in harmonic waveguides

Contact Info

Product

Resources

About