Ultracold collisions of a neutral atom with a trapped ion in 1D

Abstract

We present a fully quantum mechanical description of a free ${}^6$Li atom scattering from a trapped ${}^{171}$Yb${}^{+}$ ion in one dimension. By reformulating the system in polar coordinates and employing the adiabatic representation, we extract a set of coupled adiabatic potentials representing the atom interacting with the ion in different trap states. In an approach similar to quantum defect theory (QDT), we leverage the vast difference in energy scale between the interaction, the trap, and the scattering energy to encapsulate the short-range atom-ion scattering behavior in a single phase parameter. The presence of trapped $({}^{171}{\text{Yb}}^6\text{Li}{)}^{+}$ molecular-ion states leads to a series of roughly evenly spaced resonances in the scattering cross section. The predicted distribution of resonances at low collision energies is at odds with the expectation of quantum chaos and the Bohigas-Giannoni-Schmit (BGS) conjecture.

arXiv comment13 pages, 5 figures

References in corpus (25)

• A trapped single ion inside a Bose-Einstein condensate
• Dynamics of a cold trapped ion in a Bose-Einstein condensate
• Cold hybrid ion-atom systems
• Observation of Cold Collisions between Trapped Ions and Trapped Atoms
• Micromotion-induced Limit to Atom-Ion Sympathetic Cooling in Paul Traps
• Controlling chemical reactions of a single particle
• Statistical Aspects of Ultracold Resonant Scattering
• Quantum theory of ultracold atom-ion collisions
• Sticky collisions of ultracold RbCs molecules
• A single ion as a three-body reaction center in an ultracold atomic gas
• 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
• Controlled collisions of a single atom and ion guided by movable trapping potentials
• Three-dimensional strong localization of matter waves by scattering from atoms in a lattice with a confinement-induced resonance
• Multichannel quantum-defect theory for ultracold atom-ion collisions
• Long-lived complexes and signatures of chaos in ultracold K2+Rb collisions
• Cooling dynamics of a single trapped ion via elastic collisions with small-mass atoms
• Observation of trap-assisted formation of atom-ion bound states
• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
• Quantum-Logic Detection of Chemical Reactions
• Trap-assisted complexes in cold atom-ion collisions
• Impact of ion motion on atom-ion confinement-induced resonances in hybrid traps
• Buffer gas cooling of ions in time-dependent traps using ultracold atoms
• Ultracold ion-atom experiments: cooling, chemistry, and quantum effects

Cited by in corpus (1)

• Chaotic scattering and heating in cold ion-atom collisions: two sides of the same coin