arXiv subjects

Stephen P. Eckel

Publications and source records attributed to Stephen P. Eckel.

18 recordsLinked to original sources

arXiv2026

Sawtooth wave adiabatic passage in a grating magneto-optical trap

We demonstrate sawtooth wave adiabatic passage (SWAP) in a grating magneto-optical trap (MOT) operating on the $^1$S$_0$ $\rightarrow$ $^3$P$_1$ transition of neutral $^{88}$Sr. From numerical simulations of SWAP using our laser beam geometry, we find that SWAP provides greater cooling than triangle wave frequency modulation despite the complex polarization environment of a grating MOT. The simulation is confirmed by our experimental results, where we demonstrate a factor of two improvement in transfer efficiency between our $^1$S$_0$ $\rightarrow$ $^1$P$_1$ grating MOT and our $^1$S$_0$ $\rightarrow$ $^3$P$_1$ grating MOT. We trap up to $3\times10^6$ $^{88}$Sr atoms in the $^1$S$_0$ $\rightarrow$ $^3$P$_1$ grating MOT, at an average temperature of 4.9 $\mu$K with a lifetime of approximately 0.7 s. Our results show that SWAP is effective in non-orthogonal laser beam geometries, allowing greater duty cycles or higher atom number in sensors based on narrow-line grating MOTs.

physics.atom-ph↗

arXiv2026

Development of a Quantum Blackbody Thermometer toward Primary On-orbit Thermometry

We present a roadmap to a deployable, intrinsically calibrated thermometer with long-term accuracy of 30 mK, exceeding existing on-orbit resistance-based thermometers. Our quantum blackbody thermometer is based on measuring fluorescence ratios of optically excited rubidium atoms in microfabricated vapor cells. The key advantage of the quantum blackbody thermometer is that long-term stability of the fluorescence ratios is guaranteed by the immutable physical properties (transition strengths) of the rubidium atom. This should be compared against resistance-based thermometers, such as platinum resistance thermometers, which may be calibrated with exceptional accuracy but are susceptible to temporal drift and shifts due to improper handling.

physics.atom-ph↗

arXiv2026

Electro-optic frequency comb Doppler thermometry

We demonstrate a Doppler thermometer based on direct optical frequency comb spectroscopy of an $^{85}$Rb vapor with a chirped electro-optic frequency comb (EOFC). The direct EOFC Doppler thermometer is accurate to within its approximately 1 K statistical uncertainty. We experimentally compare direct EOFC spectroscopy with conventional Doppler spectroscopy using a single-frequency, step-scanned laser probe. Our results show that direct EOFC spectroscopy mitigates transit-induced optical pumping distortion of the atomic lineshape, which is the dominant systematic temperature shift in alkali atom Doppler thermometry. Optical Bloch equation simulations of conventional and direct EOFC Doppler spectroscopy confirm that EOFC spectroscopy can use higher optical power to reduce statistical noise without optical pumping distortion. Our results indicate that EOFC Doppler thermometry is a promising approach to realizing a primary thermometer with size and measurement rate sufficient for applications including pharmaceutical manufacturing and nuclear waste monitoring.

physics.atom-ph↗

arXiv2025

Atomic and molecular systems for radiation thermometry

Atoms and simple molecules are excellent candidates for new standards and sensors because they are both all identical and their properties are determined by the immutable laws of quantum physics. Here, we introduce the concept of building a standard and sensor of radiative temperature using atoms and molecules. Such standards are based on precise measurement of the rate at which blackbody radiation (BBR) either excites or stimulates emission for a given atomic transition. We summarize the recent results of two experiments while detailing the rate equation models required for their interpretation. The cold atom thermometer (CAT) uses a gas of laser cooled $^{85}$Rb Rydberg atoms to probe the BBR spectrum near 130~GHz. This primary, {\it i.e.}, not traceable to a measurement of like kind, temperature measurement currently has a total uncertainty of approximately 1~\%, with clear paths toward improvement. The compact blackbody radiation atomic sensor (CoBRAS) uses a vapour of $^{85}$Rb and monitors fluorescence from states that are either populated by BBR or populated by spontaneous emission to measure the blackbody spectrum near 24.5~THz. The CoBRAS has an excellent relative precision of $u(T)\approx 0.13$~K, with a clear path toward implementing a primary

physics.atom-ph↗

arXiv2025

Population-resolved measurement of an avoided crossing of light-dressed states

A two-level system coupled by a coherent field is a ubiquitous system in atomic and molecular physics. In the rotating wave approximation, the light-dressed states are well described by a simple 2x2 Hamiltonian which can be easily solved analytically and is thus used in quantum mechanics education and as a basis for intuition for more complicated systems. The solution to the Hamiltonian is an avoided crossing between the light-dressed ground and excited states. In experiments, the avoided crossing is probed spectroscopically, meaning only the energies, or eigenvalues of the Hamiltonian, are measured. Here, we present a measurement of the avoided crossing which also resolves population, thus indicating the amplitude coefficients of the eigenvectors of the Hamiltonian. We perform the measurement in Rydberg states of cold rubidium atoms, resolving the energies spectroscopically with our pump lasers and the populations of each state using selective field ionization.

physics.atom-ph↗

arXiv2025

Efficient production of sodium Bose-Einstein condensates in a hybrid trap

We describe an apparatus that efficiently produces $^{23}$Na Bose-Einstein condensates (BECs) in a hybrid trap that combines a quadrupole magnetic field with a far-detuned optical dipole trap. Using a Bayesian optimization framework, we systematically optimize all BEC production parameters in modest sized batches of highly correlated parameters. Furthermore, we introduce a Lagrange multiplier-based technique to optimize the duration of different evaporation stages constrained to have a fixed total duration; this enables the progressive creation of increasingly rapid experimental sequences that still generate high quality BECs. Taken together, our techniques constitute a general approach for refining and accelerating sequence-based experimental protocols.

cond-mat.quant-gas↗

arXiv2024

Compact Blackbody Radiation Atomic Sensor: Measuring Temperature using Optically Excited Atoms in Vapor Cells

We demonstrate a blackbody radiation thermometer based on optically excited rubidium atoms in a vapor cell. The temperature measurement is fast, with statistical uncertainty as low as 0.1% in one second. We resolve temperature with a precision of 0.04% in the range 308 K to 344 K when averaging for several seconds. Additionally, we describe an extension to this measurement scheme where the device operates as a self-calibrated, or primary, thermometer. We make progress toward realizing a primary thermometer by demonstrating a temperature-dependent self-consistent calibration scheme, with temperature accuracy of order 1% limited by the uncertainty in atomic transition dipole matrix elements.

physics.atom-ph↗

arXiv2024

Primary quantum thermometry of mm-wave blackbody radiation via induced state transfer in Rydberg states of cold atoms

Rydberg states of alkali atoms are highly sensitive to electromagnetic radiation in the GHz-to-THz regime because their transitions have large electric dipole moments. Consequently, environmental blackbody radiation (BBR) can couple Rydberg states together at $μ$s timescales. Here, we track the BBR-induced transfer of a prepared Rydberg state to its neighbors and use the evolution of these state populations to characterize the BBR field at the relevant wavelengths, primarily at 130 GHz. We use selective field ionization readout of Rydberg states with principal quantum number $n\sim30$ in $^{85}$Rb and substantiate our ionization signal with a theoretical model. With this detection method, we measure the associated blackbody-radiation-induced time dynamics of these states, reproduce the results with a simple semi-classical population transfer model, and demonstrate that this measurement is temperature sensitive with a statistical sensitivity to the fractional temperature uncertainty of 0.09 Hz$^{-1/2}$, corresponding to 26 K$\cdot$Hz$^{-1/2}$ at room temperature. This represents a calibration-free SI-traceable temperature measurement, for which we calculate a systematic fractional temperature uncertainty of 0.006, corresponding to 2 K at room temperature when used as a primary temperature standard.

physics.atom-ph↗

arXiv2024

On the effect of "glancing" collisions in the cold atom vacuum standard

We theoretically investigate the effect of ``glancing" collisions on the ultra-high vacuum (UHV) pressure readings of the cold atom vacuum standard (CAVS), based on either ultracold $^7$Li or $^{87}$Rb atoms. Here, glancing collisions are those collisions between ultracold atoms and room-temperature background atoms or molecules in the vacuum that do not impart enough kinetic energy to eject an ultracold atom from its trap. Our model is wholly probabilistic and shows that the number of the ultracold atoms remaining in the trap as a function of time is non-exponential. We update the recent results of a comparison between a traditional pressure standard -- a combined flowmeter and dynamic expansion system -- to the CAVS [D.S. Barker, et al., arXiv:2302.12143] to reflect the results of our model. We find that the effect of glancing collisions shifts the theoretical predictions of the total loss rate coefficients for $^7$Li colliding with noble gases or N$_2$ by up to $0.6$ %. Likewise, we find that in the limit of zero trap depth the experimentally extracted loss rate coefficients for $^{87}$Rb colliding with noble gases or N$_2$ shift by as much as 2.2 %.

physics.atom-ph↗

arXiv2024

Revisiting collisional broadening of $^{85}$Rb Rydberg levels: conclusions for vapor cell manufacture

Electrometry based on electromagnetically induced transparency (EIT) in alkali Rydberg vapor cells may suffer reduced sensitivity due to spurious line broadening effects, caused by surface charges, contaminant gases, or other manufacturing defects. In order to draw conclusions about the deleterious effects of potential contaminant gases inside Rydberg electrometry vapor cells, we revisit collisional broadening and shifts of both the D$_2$ line and Rydberg levels of rubidium. Specifically, we measure the broadening and shifts of the $5{\rm S}_{1/2}\rightarrow 5{\rm P}_{3/2}$ (i.e., the D$_2$ line) and $5{\rm S}_{1/2}\rightarrow 5{\rm P}_{3/2}\rightarrow (25{\rm D},27{\rm S},30{\rm D},32{\rm S},35{\rm D},37{\rm S})$ transitions of $^{85}$Rb due to He, Ne, N$_2$ and Ar. By combining these measurements with observations of velocity changing collisions in the sub-Doppler spectrum of the D$_2$ line, we conclude the following: (1) that contaminant gases are most likely not the cause of irregular line shapes or shifts of Rydberg transitions due to the high pressures required, and (2) the sub-Doppler spectrum of the D$_2$ line, through its accompanying loss of contrast at high pressures, can validate that a vapor cell is sufficiently free of contaminant gas for EIT electrometry. We use the theory of Omont, J. Phys. France 38, 1343 (1977), to extend our results to a wide variety of possible contaminant gases and further derive scaling laws applicable to all gases.

physics.atom-ph↗

arXiv2024

Spectroscopy of laser cooling transitions in MgF

We measure the complete set of transition frequencies necessary to laser cool and trap MgF molecules. Specifically, we report the frequency of multiple low $J$ transitions of the $X^2Σ^+(v^{\prime\prime}=0,1) \rightarrow A^2Π_{1/2}(v^\prime=0)$, $X^2Σ^+(v^{\prime\prime}=1,2) \rightarrow A^2Π_{1/2}(v^\prime=1)$, and $X^2Σ^+(v^{\prime\prime}=1) \rightarrow B^2Σ^+(v^{\prime}=0)$ bands of MgF. The measured $X^2Σ^+(v^{\prime\prime}=1)\rightarrow B^2Σ^+(v^\prime=0)$ spectrum allowed the spin-rotation and hyperfine parameters of the $B^2Σ^+(v=0)$ state of MgF to be determined. Furthermore, we demonstrate optical cycling in MgF by pumping molecules into the $X^2Σ^+(v=1,2)$ states. Optical pumping enhances the spectroscopic signals of transitions originating in the $N^{\prime\prime}=1$ level of the $X^2Σ^+(v^{\prime\prime}=1,2)$ states.

physics.atom-ph↗

arXiv2024

Investigation of fluorescence versus transmission readout for three-photon Rydberg excitation used in electrometry

We present a three-photon based fluorescence readout method where the strength of the fluorescence scales with the strength of the radio-frequency (RF) field being applied. We compare this method to conventional three-photon electromagnetically-induced transparency (EIT) and electromagnetically-induced absorption (EIA). Our demonstrated EIA/EIT sensitivity in the collinear three-photon Cesium system is the best reported to date at roughly 30 uVm^{-1}Hz^{-1/2}. The fluorescence is nearly 4 fold better in sensitivity compared to EIA/EIT readout.

quant-ph↗

arXiv2023

Simulations of a frequency-chirped magneto-optical trap of MgF

We simulate the capture process of MgF molecules into a frequency-chirped molecular MOT. Our calculations show that by chirping the frequency, the MOT capture velocity is increased by about of factor of 4 to 80 m/s, allowing for direct loading from a two-stage cryogenic buffer gas beam source. Moreover, we simulate the effect of this frequency chirp for molecules already present in the MOT. We find that the MOT should be stable with little to no molecule loss. The chirped MOT should thus allow loading of multiple molecule pulses to increase the number of trapped molecules

physics.atom-ph↗

arXiv2023

Accurate measurement of the loss rate of cold atoms due to background gas collisions for the quantum-based cold atom vacuum standard

We present measurements of thermalized collisional rate coefficients for ultra-cold $^7$Li and $^{87}$Rb colliding with room-temperature He, Ne, N$_2$, Ar, Kr, and Xe. In our experiments, a combined flowmeter and dynamic expansion system, a vacuum metrology standard, is used to set a known number density for the room-temperature background gas in the vicinity of the magnetically trapped $^7$Li or $^{87}$Rb clouds. Each collision with a background atom or molecule removes a $^7$Li or $^{87}$Rb atom from its trap and the change in the atom loss rate with background gas density is used to determine the thermalized loss rate coefficients with fractional standard uncertainties better than 1.6 % for $^7$Li and 2.7 % for $^{87}$Rb. We find consistency -- a degree of equivalence of less than one -- between the measurements and recent quantum-scattering calculations of the loss rate coefficients [J. Klos and E. Tiesinga, J. Chem. Phys. 158, 014308 (2023)], with the exception of the loss rate coefficient for both $^7$Li and $^{87}$Rb colliding with Ar. Nevertheless, the agreement between theory and experiment for all other studied systems provides validation that a quantum-based measurement of vacuum pressure using cold atoms also serves as a primary standard for vacuum pressure, which we refer to as the cold-atom vacuum standard.

physics.atom-ph↗

arXiv2021

Outgassing rate comparison of seven geometrically similar vacuum chambers of different materials and heat treatments

We have measured the water and hydrogen outgassing rates of seven vacuum chambers of identical geometry but constructed of different materials and heat treatments. Chambers of five different materials were tested: 304L, 316L, and 316LN stainless steels; titanium (ASTM grade 2); and 6061 aluminum. In addition, chambers constructed of 316L and 316LN stainless steel were subjected to a vacuum-fire process, where they were heated to approximately 950 °C for 24 hours while under vacuum; these two chambers are designated as 316L-XHV and 316LN-XHV. All chambers were of identical geometry and made by the same manufacturer, thus a relative comparison of the outgassing rates among these chambers can be made. Water outgassing rates were measured as a function of time using the throughput technique. The water outgassing results for the 316L, 316LN, 316L-XHV, 316LN-XHV were all similar, but lower than those of 304L by a factor of 3 to 5 lower at 10^4 s. The water outgassing results for Ti and Al chambers were close to that of 304L, Ti being slightly lower. Hydrogen outgassing rates were measured using the rate-of-rise method and performed after a low-temperature bake of 125 °C to 150 °C for a minimum of 72 hours. The Ti, Al, 316L-XHV, and 316LN-XHV chambers all have specific outgassing rates below 1 X 10^-11 Pa L s^-1 cm^-2 and are at least a factor of 100 or better than the 304L chamber. The 304L, 316L, and 316LN chambers without vacuum-fire heat treatment have larger hydrogen outgassing rates than the other chambers, with specific outgassing rates ranging between 4.0 X 10^-11 Pa L s^-1 cm^-2 and 8.0 X 10^-11 Pa L s^-1 cm^-2. We conclude that Ti, Al, 316L-XHV, and 316LN-XHV have hydrogen outgassing rates that make them excellent choices for ultra-high vacuum (UHV) and extreme-high vacuum (XHV) applications, the choice depending on cost and other material properties.

physics.app-ph↗

arXiv2021

Quantum Blackbody Thermometry

Blackbody radiation (BBR) sources are calculable radiation sources that are frequently used in radiometry, temperature dissemination, and remote sensing. Despite their ubiquity, blackbody sources and radiometers have a plethora of systematics. We envision a new, primary route to measuring blackbody radiation using ensembles of polarizable quantum systems, such as Rydberg atoms and diatomic molecules. Quantum measurements with these exquisite electric field sensors could enable active feedback, improved design, and, ultimately, lower radiometric and thermal uncertainties of blackbody standards. A portable, calibration-free Rydberg-atom physics package could also complement a variety of classical radiation detector and thermometers. The successful merger of quantum and blackbody-based measurements provides a new, fundamental paradigm for blackbody physics.

physics.atom-ph↗

arXiv2018

Nuclear-Spin Dependent Parity Violation in Optically Trapped Polyatomic Molecules

We investigate using optically trapped linear polyatomic molecules as probes of nuclear spin-dependent parity violation. The presence of closely spaced, opposite-parity $\ell$-doublets is a general feature of such molecules, allowing parity-violation-sensitive pairs of levels to be brought to degeneracy in magnetic fields typically 100 times smaller than in diatomics. Assuming laser cooling and trapping of polyatomics at the current state-of-the-art for diatomics, we expect to measure nuclear spin-dependent parity-violating matrix elements $iW$ with 70 times better sensitivity than the current best measurements. Our scheme should allow for 10 \% measurements of $iW$ in nuclei as light as Be or as heavy as Yb, with averaging times on order the of 10 days and 1 second, respectively.

physics.atom-ph↗

arXiv2018

A 3D-printed alkali metal dispenser

We demonstrate and characterize a source of Li atoms made from direct metal laser sintered titanium. The source's outgassing rate is measured to be $5 \,(2)\cdot 10^{-7}$\,$\rm{Pa}~ \rm{L}~ \rm{s}^{-1}$ at a temperature $T=330\,^\circ$C, which optimizes the number of atoms loaded into a magneto-optical trap. The source loads $\approx 10^7$ $^7$Li atoms in the trap in $\approx 1$\,s. The loaded source weighs 700\,mg and is suitable for a number of deployable sensors based on cold atoms.

physics.ins-det↗