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Journal of Physics D Applied Physics

Probing extreme-high vacuum in cryogenic ion traps using Be + Coulomb crystals

Chen Wang, Wenting Gan, Wenli Bai, Wen-Cui Peng, Xin Tong

Published Dec 22, 2025• 2 citations
Publisher

Abstract

Abstract We demonstrate the precise in situ measurement of extreme-high vacuum (XHV) in a cryogenic linear Paul trap operating at 5.7 K, utilizing laser-cooled Be + Coulomb crystals as dual-mode quantum probes. Two independent methods, elastic collision rate monitoring and reaction rate analysis, were employed to determine the vacuum level within the cryogenic linear Paul trap. Based on the collision rate of a single trapped beryllium ion with background gas, which was measured as 1.3(7) × 10 −4 Hz, the pressure under cryogenic conditions was calculated to be 6.0(3.4) × 10 −12 Pa. Alternatively, by leveraging the reaction rate of Be + ions with background gases, a pressure of 8.4(1) × 10 −12 Pa was obtained. The mutual agreement between these two methods validates the reliability of cold-atom-based vacuum metrology at the 10 −12 Pa scale, successfully overcoming the detection limits of conventional vacuum gauges. This approach, which capitalizes on the unique mass properties and photostability of Be + ions, fills a critical gap in XHV metrology and paves the way for the development of chip-trap-integrated in situ vacuum sensing technologies.

DOI
10.1088/1361-6463/ae3015

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Abstract We demonstrate the precise in situ measurement of extreme-high vacuum (XHV) in a cryogenic linear Paul trap operating at 5.7 K, utilizing laser-cooled Be + Coulomb crystals as dual-mode quantum probes. Two independent methods, elastic collision rate monitoring and reaction rate analysis, were employed to determine the vacuum level within the cryogenic linear Paul trap. Based on the collision rate of a single trapped beryllium ion with background gas, which was measured as 1.3(7) × 10 −4 Hz, the pressure under cryogenic conditions was calculated to be 6.0(3.4) × 10 −12 Pa. Alternatively, by leveraging the reaction rate of Be + ions with background gases, a pressure of 8.4(1) × 10 −12 Pa was obtained. The mutual agreement between these two methods validates the reliability of cold-atom-based vacuum metrology at the 10 −12 Pa scale, successfully overcoming the detection limits of conventional vacuum gauges. This approach, which capitalizes on the unique mass properties and photostability of Be + ions, fills a critical gap in XHV metrology and paves the way for the development of chip-trap-integrated in situ vacuum sensing technologies.
Trapped-ion systems are among the most promising hardware candidates for large scale quantum computing and quantum simulation. In order to scale up such devices, it is necessary to engineer extreme-high vacuum (XHV) environments to prevent background gas from disrupting the ion crystal. Here we present a new cryogenic ion trapping system designed for long time storage of large ion chains. Our apparatus is based on a segmented-blade ion trap enclosed in a 4 K cryostat, which enables us to routinely trap and hold over 100 171 Yb + ions for hours in a linear configuration, due to low background gas pressure from differential cryo-pumping. We characterize the XHV cryogenic environment measuring pressures below by recording both inelastic and elastic collisions between the ion chain and the molecular background gas. We also demonstrate coherent one and two-qubit operations and nearly equidistant ion spacing for chains of up to 44 ions using anharmonic axial potentials, in order to enable better detection and single ion addressing in large ion arrays. We anticipate that this reliable production and lifetime enhancement of large linear ion chains will enable quantum simulation of models that are intractable with classical computer modeling.
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Ultra-high vacuum measurement and extremely high vacuum (UHV/XHV) measurement play an important role in high-tech fields such as deep space exploration, particle accelerators, and nanoscience; with the continuous extension of the lower limit of measurement, especially when it reaches the order of 10–10 Pa, higher requirements are placed on the accuracy of the measurement. At present, in the field of UHV/XHV measurement, ionization gauges based on the principle of neutral gas ionization are commonly applied to the vacuum measurement. However, traditional ionization vacuum gauges during use can create electronic excitation desorption effects, soft X-rays, and the effect of hot cathode outgassing, thereby affecting the accuracy of measurement and limiting the lower limit of measurement. Compared with the traditional measurement technology, this method uses the relationship between the loss rate and pressure caused by the collision of cold atoms trapped in the trap depth with the background gas to calculate the gas density and inversely calculate the vacuum pressure. Based on the intrinsic quantum mechanical properties of cold atom collisions, this method is expected to be developed into a new vacuum traceability standard. In this paper, based on the small-angle approximation and impulse approximation under the quantum scattering theory, the loss rate coefficient of the collision of 6Li cold atoms with background gas molecules is calculated. According to the ideal gas equation, the pressure inversion formula is obtained. The collision loss rate is extracted by accurately fitting the loss curve of the cold atom. In order to improve the accuracy of vacuum inversion and reduce the influence of quantum diffractive collision on loss rate measurement, the trap depth under the conditions of a certain cooling laser intensity, detuning, and magnetic field gradient is determined by the photoassociation method. Finally, in a range of 1 × 10–8–5 × 10–6 Pa, the inverted pressure value is compared with the measured value of the ionization meter, proving that this method has good accuracy and reliability in the inversion of vacuum pressure. At present, the main factor restricting the improvement of accuracy is the influence of the collision between the excited atoms in the magneto-optical trap and the background gas on the loss rate measurement. In the future, with the proportion of excited atoms and the excited state C6 coefficient to be precisely determined, the uncertainty of vacuum pressure measurement can be further reduced.
Electron beam ion traps used for spectroscopy of highly charged ions (HCI) produce a deep trapping potential leading to high temperatures of the stored ions, and thus limiting the achievable spectral resolution. A novel device at the Max-Planck-Institut für Kernphysik, the Cryogenic linear Paul Trap Experiment (CryPTEx), attached to an electron beam ion trap, provides a new experimental platform to overcome these limitations. The trap assembly operates at a temperature of 4 K and offers optical access for quantum manipulation and imaging of the trapped ions. Since forbidden optical transitions in HCI do not support direct laser cooling, sympathetic cooling with Coulomb crystals of singly charged ions such as Be+ or Mg+ will be applied in order to reach the natural linewidth of optical forbidden transitions in HCI of interest. With the added advantage of long ion trapping times resulting from residual gas pressures of H2 at 4 K below 10−15 mbar, CryPTEx has been commissioned in collaboration with the Ion Trap Group in Århus using rovibrationally cooled MgH+ ions. Strong suppression of the black body radiation at the trap center, ion storage times of about 28 hours, and largely enhanced population of the rovibrational ground state were achieved.
Storage and cooling of highly charged ions require ultra-high vacuum levels obtainable by means of cryogenic methods. We have developed a linear Paul trap operating at 4 K capable of very long ion storage times of about 30 h. A conservative upper bound of the H(2) partial pressure of about 10(-15) mbar (at 4 K) is obtained from this. External ion injection is possible and optimized optical access for lasers is provided, while exposure to black body radiation is minimized. First results of its operation with atomic and molecular ions are presented. An all-solid state laser system at 313 nm has been set up to provide cold Be(+) ions for sympathetic cooling of highly charged ions.