Probing the Axis Alignment of an Ultracold Spin-polarized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Rb</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Molecule

In this article we address the general approach for calculating dynamical dipole polarizabilities of small quantum systems, based on a sum-over-states formula involving in principle the entire energy spectrum of the system. We complement this method by a few-parameter model involving a limited number of effective transitions, allowing for a compact and accurate representation of both the isotropic and anisotropic components of the polarizability. We apply the method to the series of ten heteronuclear molecules composed of two of ( 7 Li, 23 Na, 39 K, 87 Rb, 133 Cs) alkali-metal atoms. We rely on both up-to-date spectroscopically-determined potential energy curves for the lowest electronic states, and on our systematic studies of these systems performed during the last decade for higher excited states and for permanent and transition dipole moments. Such a compilation is timely for the continuously growing researches on ultracold polar molecules. Indeed the knowledge of the dynamic dipole polarizabilities is crucial to model the optical response of molecules when trapped in optical lattices, and to determine optimal lattice frequencies ensuring optimal transfer to the absolute ground state of initially weakly-bound molecules. When they exist, we determine the so-called "magic frequencies" where the ac-Stark shift and thus the viewed trap depth, is the same for both weakly-bound and ground-state molecules.

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“…Again the overall agreement is good, except for Rb 2 at 830.4 nm (which was discussed in Ref. [130].…”

Section: Comparison With Other Theoretical and Experimental Resultssupporting

confidence: 56%

Dynamic dipole polarizabilities of heteronuclear alkali dimers: optical response, trapping and control of ultracold molecules

Véxiau

Borsalino

Lepers

et al. 2017

International Reviews in Physical Chemistry

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“…The quantum mechanical Hamiltonian operator Ĥ appearing here follows from (2) by replacing the classical momenta p x and φ p by differential operators, respectively − ℏ∂ ∂x i and φ − ℏ∂ ∂ i . As a result, the timeindependent Schrödinger equation (12) describing the scattering of a fixed-energy rotor from a slit becomes the partial differential equation…”

Section: E Ementioning

confidence: 99%

Scattering of a particle with internal structure from a single slit

et al. 2015

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Classically, rigid objects with elongated shapes can fit through apertures only when properly aligned. Quantum-mechanical particles which have internal structure (e.g. a diatomic molecule) also are affected during attempts to pass through small apertures, but there are interesting differences with classical structured particles. We illustrate here some of these differences for ultra-slow particles. Notably, we predict resonances that correspond to prolonged delays of the rotor within the aperture-a trapping phenomenon not found classically.

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“…However, production of a large sample of ultracold molecules with low entropy is an extremely challenging experimental task [2][3][4][5][6]. The most successful schemes to date rely on association of molecules from ultracold atoms rather than direct cooling [7], although notable progress has recently been made with direct methods as well [8,9].…”

Section: Introductionmentioning

confidence: 99%

Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps

Jachymski¹

2016

J. Phys. B: At. Mol. Opt. Phys.

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Overlapping Feshbach resonances are commonly observed in experiments with ultracold atoms and can influence the molecule production process. We derive an effective approach to describe magnetoassociation in an external trap in the presence of multiple overlapping resonances. We study how the strength and shape of the trap affects the energy level structure and demonstrate the existence of a regime in which the conventional two-channel Landau-Zener description of the molecule production process breaks down.

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Probing the Axis Alignment of an Ultracold Spin-polarizedRb2Molecule

Cited by 23 publications

References 24 publications

Dynamic dipole polarizabilities of heteronuclear alkali dimers: optical response, trapping and control of ultracold molecules

Dynamic dipole polarizabilities of heteronuclear alkali dimers: optical response, trapping and control of ultracold molecules

Scattering of a particle with internal structure from a single slit

Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps

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