Abstract

We discuss the possibility of using optical dipole forces for Sisyphus cooling of ions stored in a Penning trap by addressing the specific case of the molecular cooling candidate ${{\mathrm{C}}_{2}}^{\ensuremath{-}}$. Using a GPU accelerated code for Penning trap simulations, which we extended to include the molecule-light interaction, we show that this scheme can decrease the time required for cooling by an order of magnitude with respect to Doppler cooling. In our simulation we found that a reduction of the axial anion temperature from $10\phantom{\rule{0.28em}{0ex}}\mathrm{K}$ to $50\phantom{\rule{0.28em}{0ex}}\mathrm{mK}$ in around $10\phantom{\rule{0.28em}{0ex}}\mathrm{s}$ is possible. The temperature of the radial degrees of freedom was seen to thermalize to $150\phantom{\rule{0.28em}{0ex}}\mathrm{mK}$. Based on the laser-cooled ${{\mathrm{C}}_{2}}^{\ensuremath{-}}$, a study on the sympathetic cooling of anions with masses 1--50 nucleon was performed, covering relevant candidates for investigations of chemical anion reactions at ultracold temperatures as well as for antimatter studies.

Highlights

  • We discuss the possibility of using optical dipole forces for Sisyphus cooling of ions stored in a Penning trap by addressing the specific case of the molecular cooling candidate C2−

  • Applicable to positive ions, we will concentrate on the specific case of C2− in a Penning trap, which is an interesting candidate for sympathetic cooling of antiprotons [3,4]

  • In order to circumvent this problem, we introduce an artificial augmentation factor fsc to scale the size of the dipole force acting on the particles, which is initially set to 10 and consecutively reduced to unity at [t(ms),fsc] = [(0,10),(600,2),(925,1)] for the case without and at [t(ms),fsc] = [(0,10),(800,2),(2750,1)] for the case including the standing-wave pattern (SWP)

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Summary

Introduction

We discuss the possibility of using optical dipole forces for Sisyphus cooling of ions stored in a Penning trap by addressing the specific case of the molecular cooling candidate C2−. Another interesting scheme was discussed in [4] for a low-density plasma, using a magnetic-field gradient in a Penning trap in order to implement a Zeeman-shift-based Sisyphus cooling cycle. A second laser (green) on resonance with the maximally shifted levels causes transitions to the upper state in particles in the maximum of the dipole potential, by absorbing a photon with energy hν .

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