Adiabatic Cooling of Planar Motion in a Penning Trap Ion Crystal to Sub-Millikelvin Temperatures

Abstract

Two-dimensional planar ion crystals in a Penning trap are a platform for quantum information science experiments. However, the low-frequency planar modes of these crystals are not efficiently cooled by laser cooling, which can limit the utility of the drumhead modes for quantum information processing. Recently, it has been shown that nonlinear mode coupling can enhance the cooling of the low-frequency planar modes. Here, we demonstrate in numerical simulations that this coupling can be dynamically tuned by adiabatically changing the rotation frequency of the ion crystal during experiments. Furthermore, we show that this technique can, in addition, produce lower temperatures for the low-frequency planar modes via an adiabatic cooling process. This result allows cooling of the planar modes to sub-millikelvin temperatures, resulting in improved spectral resolution of the drumhead modes at experimentally relevant rotation frequencies, which is crucial for quantum information processing applications.

arXiv comment11 pages, 6 figures. Accepted to Phys. Rev. A; revisions after peer review (clarified R parameter; added references). Results unchanged. DOI pending

References in corpus (21)

• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Quantum spin dynamics and entanglement generation with hundreds of trapped ions
• Quantum-enhanced sensing of displacements and electric fields with large trapped-ion crystals
• Amplitude sensing below the zero-point fluctuations with a two-dimensional trapped-ion mechanical oscillator
• Controlling two-dimensional Coulomb crystals of more than 100 ions in a monolithic radio-frequency trap
• Phonon mediated quantum spin simulator employing a planar ionic crystal in a Penning trap
• Reversing Hydride Ion Formation in Quantum Information Experiments with Be${}^{+}$
• Fast and stable manipulation of a charged particle in a Penning trap
• Phase-coherent sensing of the center-of-mass motion of trapped-ion crystals
• Broadening of the drumhead mode spectrum due to in-plane thermal fluctuations of two-dimensional trapped ion crystals in a Penning trap
• Second-Scale ${}^9{\text{Be}}^{+}$ Spin Coherence in a Compact Penning Trap
• Normal Modes, Rotational Inertia, and Thermal Fluctuations of Trapped Ion Crystals
• Bilayer crystals of trapped ions for quantum information processing
• First principle simulation of ultra-cold ion crystals in a Penning trap with Doppler cooling and a rotating wall potential
• Individual-Ion Addressing and Readout in a Penning Trap
• Effect of defects on the phonons and the effective spin-spin interactions of an ultracold Penning trap quantum simulator
• Theoretical basis for quantum simulation with a planar ionic crystal in a Penning trap using a triangular rotating wall
• Equilibration of the planar modes of ultracold two dimensional ion crystals in a Penning trap
• Efficient site-resolved imaging and spin-state detection in dynamic two-dimensional ion crystals
• Open loop linear control of quadratic Hamiltonians with applications