Neutral gas sympathetic cooling of an ion in a Paul trap

Abstract

A single ion immersed in a neutral buffer gas is studied. An analytical model is developed that gives a complete description of the dynamics and steady-state properties of the ions. An extension of this model, using techniques borrowed from the mathematics of finance, is used to explain the recent observation of non-Maxwellian statistics for these systems. Taken together, these results offer an explanation of the longstanding issues associated with sympathetic cooling of an ion by a neutral buffer gas.

References in corpus (10)

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• Magnetic trapping and Zeeman relaxation of imidogen (NH X-triplet-Sigma)
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• A new method for producing ultracold molecular ions
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• Ion-neutral sympathetic cooling in a hybrid linear rf Paul and magneto-optical trap

Cited by in corpus (49)

• Cold hybrid ion-atom systems
• Cryogenic Trapped-Ion System for Large Scale Quantum Simulation
• 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
• Cold interactions between an Yb${}^{+}$ ion and a Li atom: Prospects for sympathetic cooling, radiative association, and Feshbach resonances
• Dipolar quantum logic for freely-rotating trapped molecular ions
• Superstatistical energy distributions of an ion in an ultracold buffer gas
• Observation of collisions between cold Li atoms and Yb${}^{+}$ ions
• Reaction blockading in charged-neutral excited-state chemistry at low collision energy
• Buffer-gas cooling of a single ion in a multipole radio frequency trap beyond the critical mass ratio
• Transport of a single cold ion immersed in a Bose-Einstein condensate
• Scalable Loading of a Two-Dimensional Trapped-Ion Array
• Description of ion motion in a Paul trap immersed in a cold atomic gas
• Controlled long-range interactions between Rydberg atoms and ions
• Dynamics of a single ion spin impurity in a spin-polarized atomic bath
• Laser-cooling-assisted mass spectrometry
• Prospects of reaching the quantum regime in Li-Yb${}^{+}$ mixtures
• Systematic uncertainty due to background-gas collisions in trapped-ion optical clocks
• Cooling dynamics of a single trapped ion via elastic collisions with small-mass atoms
• Blue-sky bifurcation of ion energies and the limits of neutral-gas sympathetic cooling of trapped ions
• Trapped ions in Rydberg-dressed atomic gases
• Experimental apparatus for overlapping a ground-state cooled ion with ultracold atoms
• Spin-orbit interactions and quantum spin dynamics in cold ion-atom collisions
• Direct observation of atom-ion non-equilibrium sympathetic cooling
• A Method for Preparation and Readout of Polyatomic Molecules in Single Quantum States
• Doppler cooling thermometry of a multi-level ion in the presence of micromotion
• Measurement of low-energy Na^+ -- Na total collision rate in an ion--neutral hybrid trap
• Collisional cooling of light ions by co-trapped heavy atoms
• Cooling of trapped ions by resonant charge exchange
• Quantum-Logic Detection of Chemical Reactions
• Mass-selective removal of ions from Paul traps using parametric excitation
• 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
• Superstatistical velocity distributions of cold trapped ions in molecular dynamics simulations
• Buffer gas cooling of ions in time-dependent traps using ultracold atoms
• High-energy-resolution measurement of ultracold atom-ion collisional cross section
• Ultracold ion-atom experiments: cooling, chemistry, and quantum effects
• Floquet Heating in Interacting Atomic Gases with an Oscillating Force
• Engineering excited-state interactions at ultracold temperatures
• Experimental setup for studying an ultracold mixture of trapped Yb${}^{+}$-${}^6$Li
• 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
• High-resolution collision energy control through ion position modulation in atom-ion hybrid systems
• Interactions of Ions and Ultracold Neutral Atom Ensembles in Composite Optical Dipole Traps: Developments and Perspectives
• The energy distribution of an ion in a radiofrequency trap interacting with a nonuniform neutral buffer gas
• Cold collisions of C${}_2^{-}$ anions with Li and Rb atoms in hybrid traps
• Quantum suppression of cold reactions far from the s-wave energy limit
• Perturbative solution of Vlasov equation for periodically driven systems