Modeling near ground-state cooling of two-dimensional ion crystals in a Penning trap using electromagnetically induced transparency
arXiv:1809.05492 · doi:10.1103/PhysRevA.99.023409
Abstract
Penning traps, with their ability to control planar crystals of tens to hundreds of ions, are versatile quantum simulators. Thermal occupations of the motional drumhead modes, transverse to the plane of the ion crystal, degrade the quality of quantum simulations. Laser cooling using electromagnetically induced transparency (EIT cooling) is attractive as an efficient way to quickly initialize the drumhead modes to near ground-state occupations. We numerically investigate the efficiency of EIT cooling of planar ion crystals in a Penning trap, accounting for complications arising from the nature of the trap and from the simultaneous cooling of multiple ions. We show that, in spite of challenges, the large bandwidth of drumhead modes (hundreds of kilohertz) can be rapidly cooled to near ground-state occupations within a few hundred microseconds. Our predictions for the center-of-mass mode include a cooling time constant of tens of microseconds and an enhancement of the cooling rate with increasing number of ions. Successful experimental demonstrations of EIT cooling in the NIST Penning trap [E. Jordan, K. A. Gilmore, A. Shankar, A. Safavi-Naini, M. J. Holland, and J. J. Bollinger, "Near ground-state cooling of two-dimensional trapped-ion crystals with more than 100 ions", (2018), submitted.] validate our predictions.
arXiv comment13 pages, 9 figures, includes appendix, updated references
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- Near ground-state cooling of two-dimensional trapped-ion crystals with more than 100 ions
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- Double-EIT Ground-State Cooling of Stationary Two-Dimensional Ion Lattices
- Phase-coherent sensing of the center-of-mass motion of trapped-ion crystals
- Towards Improved Quantum Simulations and Sensing with Trapped 2D Ion Crystals via Parametric Amplification
- Site-resolved imaging of beryllium ion crystals in a high-optical-access Penning trap with inbore optomechanics
- First principle simulation of ultra-cold ion crystals in a Penning trap with Doppler cooling and a rotating wall potential
- Superior dark-state cooling via nonreciprocal couplings in trapped atoms
- Enhanced dark-state sideband cooling in trapped atoms via photon-mediated dipole-dipole interactions
- Equilibration of the planar modes of ultracold two dimensional ion crystals in a Penning trap
- Chiral-coupling-assisted refrigeration in trapped ions
- Rapid cooling of the in-plane motion of two-dimensional ion crystals in a Penning trap to millikelvin temperatures
- Numerical Simulations of 3D Ion Crystal Dynamics in a Penning Trap using the Fast Multipole Method
- Multilevel Electromagnetically Induced Transparency Cooling