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arXiv:2208.12894 · Atoms

Dynamic Polarizability of the 85Rb 5D3/2-State in 1064 nm Light

Alisher Duspayev, Ryan Cardman, Georg A. Raithel

Published Oct 19, 2022• 3 citations
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Abstract

We report a measurement of the dynamic (ac) scalar polarizability of the 5D3/2 state in 85Rb atoms at a laser wavelength of 1064 nm. Contrary to a recent measurement in Phys. Rev. A 104, 063304 (2021), the experiments are performed in a low-intensity regime in which the ac shift is less than the 5D3/2 state’s hyperfine structure, as utilized in numerous experiments with cold, trapped atoms. The extracted ac polarizability is α5D3/2=−499±59 a.u., within the uncertainty of the aforementioned previous result. The calibration of the 1064 nm light intensity, performed by analyzing light shifts of the D1 line, is the main source of uncertainty. Our results are useful for applications of the Rb 5D3/2 state in metrology, quantum sensing, and fundamental-physics research on Rydberg atoms and molecules.

DOI
10.3390/atoms10040117

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We employ doubly resonant two-photon excitation into the $74S$ Rydberg state to spectroscopically measure the dynamic scalar polarizability, ${\ensuremath{\alpha}}_{0}$, and tensor polarizability, ${\ensuremath{\alpha}}_{2}$, of rubidium $5{P}_{3/2}$. A cavity-generated 1064-nm optical lattice allows us to reach intensities near $2\ifmmode\times\else\texttimes\fi{}{10}^{11}\phantom{\rule{0.28em}{0ex}}\mathrm{W}/{\mathrm{m}}^{2}$, where the atom field is larger than the hyperfine interaction, and magnetic sublevels are well resolved. In the evaluation of the data we use a self-referencing method that renders the polarizability measurement largely free from the intensity calibration of the laser light field. We obtain experimental values ${\ensuremath{\alpha}}_{0}=\ensuremath{-}1149(\ifmmode\pm\else\textpm\fi{}2.5%)$ and ${\ensuremath{\alpha}}_{2}=563(\ifmmode\pm\else\textpm\fi{}4.2%)$, in atomic units. Methods and results are supported by simulations. The results provide an experimental test of atomic-structure calculations used to determine systematic shifts in atomic clocks and to interpret fundamental-physics experiments.

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Spectroscopy of the 85Rb 4 D3/2 state for hyperfine-structure determination

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We use double-resonant two-photon laser spectroscopy to measure the dynamic scalar polarizability of the rubidium $5{D}_{3/2}$ level, ${\ensuremath{\alpha}}_{5{D}_{3/2}}^{S}$, at a wavelength of $\ensuremath{\lambda}=1064$ nm. Since $\ensuremath{\lambda}$ is shorter than the photoionization (PI) limit of the Rb $5{D}_{3/2}$ level, this state undergoes significant broadening due to PI. The 1064-nm field is applied in the form of a deep optical lattice ($\ensuremath{\sim}{10}^{5}$ photon recoils) generated by an in-vacuum field-enhancement cavity. In our spectroscopic method, we use known dynamic polarizabilities to eliminate the need to measure the light intensity. Our method yields, in atomic units, ${\ensuremath{\alpha}}_{5{D}_{3/2}}^{S}=\ensuremath{-}524(17)$, in agreement with estimates. Additionally, we extract the $5{D}_{3/2}$ photoionization cross section $\ensuremath{\sigma}$ at 1064 nm from spectral linewidths; we find $\ensuremath{\sigma}=44(1)$ Mb.

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We report a measurement of the dynamic (ac) scalar polarizability of the 5D3/2 state in 85Rb atoms at a laser wavelength of 1064 nm. Contrary to a recent measurement in Phys. Rev. A 104, 063304 (2021), the experiments are performed in a low-intensity regime in which the ac shift is less than the 5D3/2 state’s hyperfine structure, as utilized in numerous experiments with cold, trapped atoms. The extracted ac polarizability is α5D3/2=−499±59 a.u., within the uncertainty of the aforementioned previous result. The calibration of the 1064 nm light intensity, performed by analyzing light shifts of the D1 line, is the main source of uncertainty. Our results are useful for applications of the Rb 5D3/2 state in metrology, quantum sensing, and fundamental-physics research on Rydberg atoms and molecules.
We employ doubly resonant two-photon excitation into the 74S74S74S Rydberg state to spectroscopically measure the dynamic scalar polarizability, ${\ensuremath{\alpha}}_{0}$, and tensor polarizability, ${\ensuremath{\alpha}}_{2}$, of rubidium 5P3/25{P}_{3/2}5P3/2​. A cavity-generated 1064-nm optical lattice allows us to reach intensities near $2\ifmmode\times\else\texttimes\fi{}{10}^{11}\phantom{\rule{0.28em}{0ex}}\mathrm{W}/{\mathrm{m}}^{2}$, where the atom field is larger than the hyperfine interaction, and magnetic sublevels are well resolved. In the evaluation of the data we use a self-referencing method that renders the polarizability measurement largely free from the intensity calibration of the laser light field. We obtain experimental values ${\ensuremath{\alpha}}_{0}=\ensuremath{-}1149(\ifmmode\pm\else\textpm\fi{}2.5%)$ and ${\ensuremath{\alpha}}_{2}=563(\ifmmode\pm\else\textpm\fi{}4.2%)$, in atomic units. Methods and results are supported by simulations. The results provide an experimental test of atomic-structure calculations used to determine systematic shifts in atomic clocks and to interpret fundamental-physics experiments.
Abstract We report a measurement of the hyperfine-structure constants of the 85Rb 4 D 3 / 2 state using two-photon optical spectroscopy of the 5 S 1 / 2 → 4 D 3 / 2 transition. The spectra are acquired by measuring the transmission of the low-power 795 nm lower-stage laser beam through a cold-atom sample as a function of laser frequency, with the frequency of the upper-stage, 1476 nm laser fixed. All 4 hyperfine components of the 4 D 3 / 2 state are well-resolved in the experimental data. The dominant systematic is the light shift from the 1476 nm laser, which is addressed by extrapolating line positions measured for a set of 1476 nm laser powers to zero laser power. The analysis of our experimental data yields both the magnetic-dipole and electric-quadrupole constants for the 85Rb 4 D 3 / 2 level, without using earlier hyperfine measurements of other atomic levels. The respective results, A = 7.419(35) MHz and B = 4.19(19) MHz, are discussed in context with previous works. Our investigation may be useful for optical atomic clocks for precision metrology and emerging atom-based quantum technologies, all-infrared excitation of Rb Rydberg levels, and molecular physics.
We use double-resonant two-photon laser spectroscopy to measure the dynamic scalar polarizability of the rubidium 5D3/25{D}_{3/2}5D3/2​ level, ${\ensuremath{\alpha}}_{5{D}_{3/2}}^{S}$, at a wavelength of $\ensuremath{\lambda}=1064$ nm. Since $\ensuremath{\lambda}$ is shorter than the photoionization (PI) limit of the Rb 5D3/25{D}_{3/2}5D3/2​ level, this state undergoes significant broadening due to PI. The 1064-nm field is applied in the form of a deep optical lattice ($\ensuremath{\sim}{10}^{5}$ photon recoils) generated by an in-vacuum field-enhancement cavity. In our spectroscopic method, we use known dynamic polarizabilities to eliminate the need to measure the light intensity. Our method yields, in atomic units, ${\ensuremath{\alpha}}_{5{D}_{3/2}}^{S}=\ensuremath{-}524(17)$, in agreement with estimates. Additionally, we extract the 5D3/25{D}_{3/2}5D3/2​ photoionization cross section $\ensuremath{\sigma}$ at 1064 nm from spectral linewidths; we find $\ensuremath{\sigma}=44(1)$ Mb.
The dynamic polarizability of 87Rb^{87}\mathrm{Rb}87Rb atoms was measured using a guided-wave Bose-Einstein condensate interferometer. Taking advantage of the large arm separations obtainable in our device, a well-calibrated laser beam is applied to one atomic packet and not the other, inducing a differential phase shift. The technique requires relatively low laser intensity and works for arbitrary optical frequencies. For off-resonant light, the ac polarizability is obtained with a statistical accuracy of 3% and a calibration uncertainty of 6%. On resonance, the dispersion-shaped behavior of the Stark shift is observed, but with a broadened linewidth that is attributed to collective light scattering effects. The resulting nonlinearity may prove useful for the production and control of squeezed quantum states.
Atoms cooled and trapped using laser light have become the backbone of modern quantum physics research. Various new applications based on laser-cooled atoms are in active development. The work described in this dissertation is dedicated to this endeavor. I present experimental and numerical investigations on several fundamental properties of the laser-cooled atoms in different quantum states and how they may translate into applications within several emerging atom-based technologies. First, I describe the precision measurements of the dynamic polarizability and photo-ionization cross-section at 1064-nm light of the 5D3/25D_{3/2}5D3/2​ state in rubidium, which is of interest for the portable atomic clocks. Two different spectroscopic methods are implemented to extract the polarizability from the experimental data. The results are statistically equivalent: -524(17) [-499(59)] atomic units from the first [second] method. The photo-ionization cross section of the 5D3/25D_{3/2}5D3/2​ state at 1064~nm is measured to be 44(1) Mb. The aforementioned photo-ionization cross section is suitable for efficient ion generation and the subsequent application in cold-atom-based ion sources. This is demonstrated in the second study presented here. The ion source employs a novel method to monitor the electric microfields of the ions using the Stark effect of the highly-excited (Rydberg) atoms seeded within the origin of the ion source. Rydberg atoms are extremely sensitive to electric fields and serve as an embedded real-time sensor and tracker of the ion-source performance because of their quasicontinuous creation and detection. The principles of such ion-microfield sensing are discussed and analyzed in detail and can be utilized in any cold-atom-based focused-ion-beam source. The hyperfine structure of the 4D3/24D_{3/2}4D3/2​ state in rubidium is investigated next. The measurement utilizes two-photon optical absorption spectroscopy and a detailed analysis of light shifts. All four hyperfine components are resolved in the experimental data. The magnetic-dipole and electric-quadrupole hyperfine constants are obtained to be 7.419(45) MHz and 4.19(19) MHz, respectively. Future applications of the 4D3/24D_{3/2}4D3/2​ state in optical atomic clocks and Rydberg-atom physics are discussed. Next, I investigate a Rydberg-atom-ion molecule bound by long-range multipolar forces. The molecule is the first example of a bound state between a Rydberg atom and an ion. Strong interactions between these two particles lead to large molecular binding energy (reaching a few GHz) and large binding length (exceeding 1 mumumum). The Born-Oppenheimer approximation does not hold for the Rydberg-atom-ion molecule because the motion of the Rydberg-atom nucleus is on the same timescale as the dynamics of the ion. The Born-Huang theory is utilized to investigate the resultant nonadiabatic dynamics of the molecule and to make the first fully quantum predictions of its lifetime as a function of the vibrational state and quantum principal number of the Rydberg atom. Lastly, I present a novel technique for atom interferometry that employs uninterrupted three-dimensional confinement and manipulation during the interferometric protocol. The atoms in the existing apparatuses have to follow several-meter-long trajectories along which various detrimental effects such as wave-packet dispersion erase useful phase information. ``Tractor atom interferometry" presented here promises to suppress the harmful effects and improve the interferometers’ sensitivity; provide flexible control over the atomic trajectories; and significantly reduce the experimental footprint. The suitability of this approach for measuring background acceleration (such as due to the gravitational field) is demonstrated. The sensitivity estimations, experimental considerations, and initial laboratory work are discussed.
Open-shell lanthanide atoms, and dysprosium in particular, combine a large ground-state angular momentum with dense electronic spectra, making their dynamical polarizability strongly dependent on wavelength and internal state, and therefore challenging to calculate and characterize experimentally. This issue has become especially relevant with the recent development of single-atom trapping of dysprosium in optical-tweezer arrays, where precise knowledge of the polarizability is needed to design optimized trapping architectures. Here, we exploit the strong spin-dependent light shift near the J′=J−1J'=J-1J′=J−1 intercombination line at 530.306 nm to determine the background scalar and vector polarizabilities of 162^{162}162Dy in its ground state near this wavelength. Our measurements quantitatively agree with atomic-structure calculations and provide new insight into the contributions of nearby transitions in a spectral region relevant to emerging dysprosium tweezer platforms.