Spectroscopy and Thermometry of Drumhead Modes in a Mesoscopic Trapped-Ion Crystal using Entanglement

Abstract

We demonstrate spectroscopy and thermometry of individual motional modes in a mesoscopic 2D ion array using entanglement-induced decoherence as a method of transduction. Our system is a $\sim$400 $\mu$m-diameter planar crystal of several hundred ${}^9$Be${}^{+}$ ions exhibiting complex drumhead modes in the confining potential of a Penning trap. Exploiting precise control over the ${}^9$Be${}^{+}$ valence electron spins, we apply a homogeneous spin-dependent optical dipole force to excite arbitrary transverse modes with an effective wavelength approaching the interparticle spacing ($\sim$20 \nolinebreak$\mu$m). Center-of-mass displacements below 1 nm are detected via entanglement of spin and motional degrees of freedom.

12 pages, 7 figures (includes Supplementary Material)

References in corpus (8)

• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Universal digital quantum simulation with trapped ions
• Nanomechanical motion measured with precision beyond the standard quantum limit
• Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
• Coupled quantized mechanical oscillators
• Trapped ion quantum computation with transverse phonon modes
• Ultrasensitive force and displacement detection using trapped ions

Cited by in corpus (45)

• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Quantum spin dynamics and entanglement generation with hundreds of trapped ions
• Verification of a many-ion simulator of the Dicke model through slow quenches across a phase transition
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Near ground-state cooling of two-dimensional trapped-ion crystals with more than 100 ions
• Ion Coulomb Crystals
• Arbitrary Waveform Generator for Quantum Information Processing with Trapped Ions
• Sympathetic EIT laser cooling of motional modes in an ion chain
• Minimal Model for Fast Scrambling
• Amplitude sensing below the zero-point fluctuations with a two-dimensional trapped-ion mechanical oscillator
• Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
• Double-EIT Ground-State Cooling of Stationary Two-Dimensional Ion Lattices
• Phonon mediated quantum spin simulator employing a planar ionic crystal in a Penning trap
• Steady-state spin synchronization through the collective motion of trapped ions
• Reversing Hydride Ion Formation in Quantum Information Experiments with Be${}^{+}$
• Spin Dephasing as a Probe of Mode Temperature, Motional State Distributions, and Heating Rates in a 2D Ion Crystal
• Phase-coherent sensing of the center-of-mass motion of trapped-ion crystals
• Noninvasive Measurement of Dynamic Correlation Functions
• Towards Improved Quantum Simulations and Sensing with Trapped 2D Ion Crystals via Parametric Amplification
• Vibration-induced field fluctuations in a superconducting magnet
• Broadening of the drumhead mode spectrum due to in-plane thermal fluctuations of two-dimensional trapped ion crystals in a Penning trap
• Site-resolved imaging of beryllium ion crystals in a high-optical-access Penning trap with inbore optomechanics
• A high-power 626 nm diode laser system for Beryllium ion trapping
• Two-dimensional spectroscopy for the study of ion Coulomb crystals
• Perpendicular laser cooling with a rotating wall potential in a Penning trap
• Two-tone Doppler cooling of radial two-dimensional crystals in a radiofrequency ion trap
• Squeezed Coherent States of Motion for Ions Confined in Quadrupole and Octupole Ion Traps
• Ramsey Interferometry in Correlated Quantum Noise Environments
• Buckling transitions and clock order of two-dimensional Coulomb crystals
• Normal Modes, Rotational Inertia, and Thermal Fluctuations of Trapped Ion Crystals
• Bilayer crystals of trapped ions for quantum information processing
• Intrinsic anharmonic effects on the phonon frequencies and effective spin-spin interactions in a quantum simulator made from trapped ions in a linear Paul trap
• Effect of defects on the phonons and the effective spin-spin interactions of an ultracold Penning trap quantum simulator
• Sideband thermometry of ion crystals
• Equilibration of the planar modes of ultracold two dimensional ion crystals in a Penning trap
• Simulating Quantum Magnetism with Correlated Non-Neutral Ion Plasmas
• In-situ-tunable spin-spin interactions in a Penning trap with in-bore optomechanics
• Improving trapped-ion-qubit memories via code-mediated error-channel balancing
• Ion counting and temperature determination of Coulomb-crystallized laser-cooled ions in traps using convolutional neural networks
• Quantum sensing of high-frequency gravitational waves with ion crystals
• Coexistence of localized and extended states in the Anderson model with long-range hopping
• Parametric Amplification of Spin-Motion Coupling in Three-Dimensional Trapped-Ion Crystals
• Formation of Two-Ion Crystals by Injection from a Paul-Trap Source into a High-Magnetic-Field Penning Trap