Micromotion-induced Limit to Atom-Ion Sympathetic Cooling in Paul Traps

Abstract

We present and derive analytic expressions for a fundamental limit to the sympathetic cooling of ions in radio-frequency traps using cold atoms. The limit arises from the work done by the trap electric field during a long-range ion-atom collision and applies even to cooling by a zero-temperature atomic gas in a perfectly compensated trap. We conclude that in current experimental implementations this collisional heating prevents access to the regimes of single-partial-wave atom-ion interaction or quantized ion motion. We determine conditions on the atom-ion mass ratio and on the trap parameters for reaching the s-wave collision regime and the trap ground state.

References in corpus (15)

• A trapped single ion inside a Bose-Einstein condensate
• Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
• Controlling chemical reactions of a single particle
• Cold heteronuclear atom-ion collisions
• A single ion as a three-body reaction center in an ultracold atomic gas
• Controlled collisions of a single atom and ion guided by movable trapping potentials
• Universal properties in ultracold ion-atom interactions
• A new method for producing ultracold molecular ions
• Scanning tunnelling microscopy for ultracold atoms
• Kinetics of a single trapped ion in an ultracold buffer gas
• Micromotion in trapped atom-ion systems
• Observation of single collisionally cooled trapped ions in a buffer gas
• Evaporation of buffer gas-thermalized anions out of a multipole rf ion trap
• A linear RFQ ion trap for the Enriched Xenon Observatory
• Probing ultra-cold Fermi atoms with a single ion

Cited by in corpus (108)

• Cold hybrid ion-atom systems
• Cryogenic Trapped-Ion System for Large Scale Quantum Simulation
• Cold atom-ion experiments in hybrid traps
• Λ-enhanced Sub-Doppler Cooling of Lithium Atoms in D1 Gray Molasses
• Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms
• Dynamics of a ground-state cooled ion colliding with ultra-cold atoms
• Observation of Feshbach resonances between a single ion and ultracold atoms
• Buffer gas cooling of a trapped ion to the quantum regime
• Energy scaling of cold atom-atom-ion three-body recombination
• An ionic impurity in a Bose-Einstein condensate at sub-microkelvin temperatures
• Cold interactions between an Yb${}^{+}$ ion and a Li atom: Prospects for sympathetic cooling, radiative association, and Feshbach resonances
• Neutral gas sympathetic cooling of an ion in a Paul trap
• Observation of collisions between cold Li atoms and Yb${}^{+}$ ions
• A far-off-resonance optical trap for a Ba${}^{+}$ ion
• Buffer-gas cooling of a single ion in a multipole radio frequency trap beyond the critical mass ratio
• Optical Traps for sympathetic Cooling of Ions with ultracold neutral Atoms
• Formation of molecular ions by radiative association of cold trapped atoms and ions
• Description of ion motion in a Paul trap immersed in a cold atomic gas
• Controlled long-range interactions between Rydberg atoms and ions
• Charge-exchange collisions between ultracold fermionic lithium atoms and calcium ions
• Characterization of charge-exchange collisions between ultracold ${}^6\mathrm{Li}$ atoms and ${}^{40}\mathrm{C}{\mathrm{a}}^{+}$ ions
• Observation of elastic collisions between lithium atoms and calcium ions
• Rydberg molecules for ion-atom scattering in the ultracold regime
• Suppression of Ion Transport due to Long-Lived Sub-Wavelength Localization by an Optical Lattice
• Optical trapping of ion Coulomb crystals
• Ground state properties of ultracold trapped bosons with an immersed ionic impurity
• Cold trapped molecular ions and hybrid platforms for ions and neutral particles
• 3D Sisyphus Cooling of Trapped Ions
• Ion trajectory analysis for micromotion minimization and the measurement of small forces
• Dynamics of a single ion spin impurity in a spin-polarized atomic bath
• Observation of Interactions between Trapped Ions and Ultracold Rydberg Atoms
• Trapping Ions and Atoms Optically
• Quantum dynamics of an atomic double-well system interacting with a trapped ion
• Probing Time Dilation in Coulomb Crystals in a high-precision Ion Trap
• Reactive two-body and three-body collisions of Ba${}^{+}$ in an ultracold Rb gas
• Charge transfer in the cold Yb${}^{+}$ + Rb collisions
• Many-body bound states and induced interactions of charged impurities in a bosonic bath
• Phase-locking between different partial-waves in atom-ion spin-exchange collisions
• Prospects of reaching the quantum regime in Li-Yb${}^{+}$ mixtures
• Cooling dynamics of a single trapped ion via elastic collisions with small-mass atoms
• Quantum Simulation of Abelian Lattice Gauge Theories via State-Dependent Hopping
• Blue-sky bifurcation of ion energies and the limits of neutral-gas sympathetic cooling of trapped ions
• Trapped ions in Rydberg-dressed atomic gases
• Capture Dynamics of Ultracold Atoms in the Presence of an Impurity Ion
• Experimental apparatus for overlapping a ground-state cooled ion with ultracold atoms
• Spin-orbit interactions and quantum spin dynamics in cold ion-atom collisions
• Impact of Many-Body Correlations on the Dynamics of an Ion-Controlled Bosonic Josephson Junction
• Controlling the potential landscape and normal modes of ion Coulomb crystals by a standing wave optical potential
• Production of NaCa${}^{+}$ molecular ions in the ground state from cold atom-ion mixtures by photoassociation via an intermediate state
• Measurement of low-energy Na^+ -- Na total collision rate in an ion--neutral hybrid trap
• Ab initio electronic structure and prospects for the formation of ultracold calcium--alkali-metal-atom molecular ions
• Observation of trap-assisted formation of atom-ion bound states
• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
• Collisional cooling of light ions by co-trapped heavy atoms
• Cooling of trapped ions by resonant charge exchange
• Controlling the nature of a charged impurity in a bath of Feshbach dimers
• Quantum-Logic Detection of Chemical Reactions
• Technologies for trapped-ion quantum information systems
• Trap-assisted complexes in cold atom-ion collisions
• Cooling atomic ions with visible and infra-red light
• Effect of ion-trap parameters on energy distributions of ultra-cold atom-ion mixtures
• Dynamics of a single trapped ion immersed in a buffer gas
• Impact of ion motion on atom-ion confinement-induced resonances in hybrid traps
• Quantum simulation of extended polaron models using compound atom-ion systems
• Buffer gas cooling of ions in time-dependent traps using ultracold atoms
• High-energy-resolution measurement of ultracold atom-ion collisional cross section
• Cold reactive and non-reactive collisions of Li and Rb with C${}_2^{-}$: implications for hybrid trap experiments
• Ultracold ion-atom experiments: cooling, chemistry, and quantum effects
• Improving Efficiency of Sympathetic Cooling in Atom-Ion and Atom-Atom Confined Collisions
• Operation of a Microfabricated Planar Ion-Trap for Studies of a Yb${}^{+}$-Rb Hybrid Quantum System
• Compound atom-ion Josephson junction: Effects of finite temperature and ion motion
• Trapping Single Ions and Coulomb Crystals with Light Fields
• Strong angular-momentum mixing in ultracold atom-ion excitation-exchange
• Experimental setup for studying an ultracold mixture of trapped Yb${}^{+}$-${}^6$Li
• Electric field analysis in a cold-ion source using Stark spectroscopy of Rydberg atoms
• Energy distributions of an ion in a radiofrequency trap immersed in a buffer gas under the influence of additional external forces
• Increase of barium ion-trap lifetime via photodissociation
• Wave-packet dynamics of an atomic ion in a Paul trap: approximations and stability
• Ion-induced interactions in a Tomonaga-Luttinger liquid
• Interaction potentials and ultracold scattering cross sections for the ${}^7$Li${}^{+}$-${}^7$Li ion-atom system
• Ab initio potential energy curves, scattering lengths, and rovibrational levels of the He${}_2^{+}$ molecular ion in excited electronic states
• RF-induced heating dynamics of non-crystallized trapped ions
• Quantum control of ion-atom collisions beyond the ultracold regime
• Minimizing rf-induced excess micromotion of a trapped ion with the help of ultracold atoms
• Spectral properties of a three body atom-ion hybrid system
• Sub-Micron Positioning of Trapped Ions with Respect to the Absolute Center of a Standing Wave Cavity Field
• Exploring atom-ion Feshbach resonances below the s-wave limit
• Interactions and charge transfer dynamics of an Al${}^{+}$ ion immersed in ultracold Rb and Sr atoms
• Interactions of Ions and Ultracold Neutral Atom Ensembles in Composite Optical Dipole Traps: Developments and Perspectives
• The dynamics of a single trapped ion in a high density media: a stochastic approach
• Ultracold Interactions between Ions and Polar Molecules
• Cold collisions between alkali and alkaline-earth hetero nuclear atom-ion system Li + Ba${}^{+}$
• Trap-induced atom-ion complexes: a time-independent approach
• Reactivity of hydrated hydroxide anion cluster OH(H${}_2$O)${}_n^{-}$ with H and Rb: an ab initio study
• Chaotic scattering and heating in cold ion-atom collisions: two sides of the same coin
• Cold collisions of C${}_2^{-}$ anions with Li and Rb atoms in hybrid traps
• Cold hybrid electrical-optical ion trap
• The energy distribution of an ion in a radiofrequency trap interacting with a nonuniform neutral buffer gas
• Cold atom-ion systems in radiofrequency multipole traps: event-drive molecular dynamics and stochastic simulations
• Singularities of Floquet Scattering and Tunneling
• A hybrid quantum system formed by trapping atoms in the near-field of a levitated nanosphere
• Quantum suppression of cold reactions far from the s-wave energy limit
• Ultracold collisions of a neutral atom with a trapped ion in 1D
• Cooling dynamics of a free ion in a Bose-Einstein condensate
• Cold interactions and chemical reactions of linear polyatomic anions with alkali-metal and alkaline-earth-metal atoms
• Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance
• Realization of a chip-based hybrid trapping setup for ${}^{87}$Rb atoms and Yb${}^{+}$ Ion crystals
• A New Mechanism for Sympathetic Cooling of Atoms and Ions in Atomic and Ion-Atomic Traps