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Penning traps, with their ability to control planar crystals of tens tohundreds of ions, are versatile quantum simulators. Thermal occupations of themotional drumhead modes, transverse to the plane of the ion crystal, degradethe quality of quantum simulations. Laser cooling using electromagneticallyinduced transparency (EIT cooling) is attractive as an efficient way to quicklyinitialize the drumhead modes to near ground-state occupations. We numericallyinvestigate the efficiency of EIT cooling of planar ion crystals in a Penningtrap, accounting for complications arising from the nature of the trap and fromthe simultaneous cooling of multiple ions. We show that, in spite ofchallenges, the large bandwidth of drumhead modes (hundreds of kilohertz) canbe rapidly cooled to near ground-state occupations within a few hundredmicroseconds. Our predictions for the center-of-mass mode include a coolingtime constant of tens of microseconds and an enhancement of the cooling ratewith increasing number of ions. Successful experimental demonstrations of EITcooling 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 oftwo-dimensional trapped-ion crystals with more than 100 ions", (2018),submitted.] validate our predictions.

Modeling near ground-state cooling of two-dimensional ion crystals in a Penning trap using electromagnetically induced transparency