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arXiv · 1501.03793

Polarizability of ultracold $\textrm{Rb}_2$ molecules in the rovibrational ground state of $\mathrm{a}^3Σ_u^+$

Markus Deiß·Björn Drews·Johannes Hecker Denschlag·Nadia Bouloufa-Maafa·Romain Vexiau·Olivier Dulieu
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Abstract

We study, both theoretically and experimentally, the dynamical polarizability $α(ω)$ of $\textrm{Rb}_2$ molecules in the rovibrational ground state of $\mathrm{a}^3Σ_u^+$. Taking all relevant excited molecular bound states into account, we compute the complex-valued polarizability $α(ω)$ for wave numbers up to $20000\:\textrm{cm}^{-1}$. Our calculations are compared to experimental results at $1064.5\:\textrm{nm}$ ($\sim9400\:\textrm{cm}^{-1}$) as well as at $830.4\:\textrm{nm}$ ($\sim12000\:\textrm{cm}^{-1}$). Here, we discuss the measurements at $1064.5\:\textrm{nm}$. The ultracold $\textrm{Rb}_2$ molecules are trapped in the lowest Bloch band of a 3D optical lattice. Their polarizability is determined by lattice modulation spectroscopy which measures the potential depth for a given light intensity. Moreover, we investigate the decay of molecules in the optical lattice, where lifetimes of more than $2\:\textrm{s}$ are observed. In addition, the dynamical polarizability for the $\mathrm{X}^1Σ_g^+$ state is calculated. We provide simple analytical expressions that reproduce the numerical results for $α(ω)$ for all vibrational levels of $\mathrm{a}^3Σ_u^+$ as well as $\mathrm{X}^1Σ_g^+$. Precise knowledge of the molecular polarizability is essential for designing experiments with ultracold molecules as lifetimes and lattice depths are key parameters. Specifically the wavelength at $\sim1064\:\textrm{nm}$ is of interest, since here, ultrastable high power lasers are available.

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Markus Deiß, Björn Drews, Johannes Hecker Denschlag, Nadia Bouloufa-Maafa, Romain Vexiau, Olivier Dulieu. 2016-12-06. Polarizability of ultracold $\textrm{Rb}_2$ molecules in the rovibrational ground state of $\mathrm{a}^3Σ_u^+$. https://doi.org/10.1088/1367-2630%2F17%2F6%2F065019

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