Sympathetic cooling schemes for separately trapped ions coupled via image currents

Abstract

Cooling of particles to mK-temperatures is essential for a variety of experiments with trapped charged particles. However, many species of interest lack suitable electronic transitions for direct laser cooling. We study theoretically the remote sympathetic cooling of a single proton with laser-cooled ${}^9$Be${}^{+}$ in a double-Penning-trap system. We investigate three different cooling schemes and find, based on analytical calculations and numerical simulations, that two of them are capable of achieving proton temperatures of about 10 mK with cooling times on the order of 10 s. In contrast, established methods such as feedback-enhanced resistive cooling with image-current detectors are limited to about 1 K in 100 s. Since the studied techniques are applicable to any trapped charged particle and allow spatial separation between the target ion and the cooling species, they enable a variety of precision measurements based on trapped charged particles to be performed at improved sampling rates and with reduced systematic uncertainties.

28 pages, 14 figures

References in corpus (8)

• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Coherent laser spectroscopy of highly charged ions using quantum logic
• Direct high-precision measurement of the magnetic moment of the proton
• Highly-sensitive superconducting circuits at ~700 kHz with tunable quality factors for image-current detection of single trapped antiprotons
• Detection of metastable electronic states by Penning trap mass spectrometry
• Sympathetic cooling of a trapped proton mediated by an LC circuit
• Measurement of ultra-low heating rates of a single antiproton in a cryogenic Penning trap
• Observation of individual spin quantum transitions of a single antiproton

Cited by in corpus (2)

• Optical stimulated-Raman sideband spectroscopy of a single ${}^9$Be${}^{+}$ ion in a Penning trap
• Strong coherent ion-electron coupling using a wire data bus