Sideband cooling of the radial modes of motion of a single ion in a Penning trap

Abstract

Doppler and sideband cooling are long standing techniques that have been used together to prepare trapped atomic ions in their ground state of motion. In this paper we study how these techniques can be extended to cool both radial modes of motion of a single ion in a Penning trap. We numerically explore the prerequisite experimental parameters for efficient Doppler cooling in the presence of an additional oscillating electric field to resonantly couple the radial modes. The simulations are supported by experimental data for a single ${}^{40}$Ca${}^{+}$ ion Doppler cooled to $\sim$100 phonons in both modes at a magnetron frequency of 52 kHz and a modified cyclotron frequency of 677 kHz. For these frequencies, we then show that mean phonon numbers of $0.35(5)$ for the modified cyclotron and $1.7(2)$ for the magnetron motions are achieved after 68 ms of sideband cooling.

References in corpus (29)

• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• An Open-System Quantum Simulator with Trapped Ions
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Universal digital quantum simulation with trapped ions
• Quantum spin dynamics and entanglement generation with hundreds of trapped ions
• Experimental Comparison of Two Quantum Computing Architectures
• Realization of a scalable Shor algorithm
• Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register
• Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
• Quantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions
• EIT ground-state cooling of long ion strings
• Penning traps as a versatile tool for precise experiments in fundamental physics
• Zero-Point cooling and low heating of trapped 111Cd+ ions
• Near ground-state cooling of two-dimensional trapped-ion crystals with more than 100 ions
• Resolved-sideband laser cooling in a Penning trap
• Sympathetic EIT laser cooling of motional modes in an ion chain
• Direct Measurement of the Proton Magnetic Moment
• Laser Cooling of two trapped ions: Sideband cooling beyond the Lamb-Dicke limit
• Sympathetic Cooling of Protons and Antiprotons with a Common Endcap Penning Trap
• Interference of single photons emitted by entangled atoms in free space
• Sideband cooling of small ion Coulomb crystals in a Penning trap
• Perpendicular laser cooling with a rotating wall potential in a Penning trap
• Dynamics of axialized laser-cooled ions in a Penning trap
• Laser cooling in the Penning trap: an analytical model for cooling rates in the presence of an axializing field
• Population dynamics in sideband cooling of trapped ions outside the Lamb-Dicke regime
• First principle simulation of ultra-cold ion crystals in a Penning trap with Doppler cooling and a rotating wall potential
• Trapped-ion quantum error-correcting protocols using only global operations
• Towards Quantum Logic Inspired Cooling and Detection for Single (Anti-)Protons

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