Dynamics of a single trapped ion immersed in a buffer gas

Abstract

We provide a comprehensive theoretical framework for describing the dynamics of a single trapped ion interacting with a neutral buffer gas, thus extending our previous studies on buffer-gas cooling of ions beyond the critical mass ratio [B. Höltkemeier et al., Phys. Rev. Lett. 116, 233003 (2016)]. By transforming the collisional processes into a frame, where the ion's micromotion is assigned to the buffer gas atoms, our model allows one to investigate the influence of non-homogeneous buffer gas configurations as well as higher multipole orders of the radio-frequency trap in great detail. Depending on the neutral-to-ion mass ratio, three regimes of sympathetic cooling are identified which are characterized by the form of the ion's energy distribution in equilibrium. We provide analytic expressions and numerical simulations of the ion's energy distribution, spatial profile and cooling rates for these different regimes. Based on these findings, a method for actively decreasing the ion's energy by reducing the spatial expansion of the buffer gas arises (Forced Sympathetic Cooling).

References in corpus (14)

• A trapped single ion inside a Bose-Einstein condensate
• Observation of Cold Collisions between Trapped Ions and Trapped Atoms
• Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
• Micromotion-induced Limit to Atom-Ion Sympathetic Cooling in Paul Traps
• Radiofrequency multipole traps: Tools for spectroscopy and dynamics of cold molecular ions
• Cold atom-ion experiments in hybrid traps
• Sympathetic and swap cooling of trapped ions by cold atoms in a MOT
• A new method for producing ultracold molecular ions
• Neutral gas sympathetic cooling of an ion in a Paul trap
• Kinetics of a single trapped ion in an ultracold buffer gas
• Reactive collisions of trapped anions with ultracold atoms
• Buffer-gas cooling of a single ion in a multipole radio frequency trap beyond the critical mass ratio
• Fluctuation Dissipation Relation for a Langevin Model with Multiplicative Noise
• Synchronization of extended chaotic systems with long-range interactions: an analogy to Levy-flight spreading of epidemics

Cited by in corpus (10)

• Cold hybrid ion-atom systems
• Superstatistical energy distributions of an ion in an ultracold buffer gas
• Prospects of reaching the quantum regime in Li-Yb${}^{+}$ mixtures
• Cooling of trapped ions by resonant charge exchange
• Buffer gas cooling of ions in time-dependent traps using ultracold atoms
• Overdamped dynamics of a Brownian particle levitated in a Paul trap
• The energy distribution of an ion in a radiofrequency trap interacting with a nonuniform neutral buffer gas
• Chaotic scattering and heating in cold ion-atom collisions: two sides of the same coin
• Cold atom-ion systems in radiofrequency multipole traps: event-drive molecular dynamics and stochastic simulations
• Ion-kinetic-energy sampling in a 22-pole trap using ring-electrode evaporation