Universal properties in ultracold ion-atom interactions

Abstract

We present some of the universal properties in ion-atom interaction derived from a newly formulated quantum-defect theory for $-1/r^4$ type of long-range interactions. For bound states, we present the universal bound spectrum, namely the equivalent of the Rydberg formula, for ion-atom systems. For scattering, we introduce the concept of universal resonance spectrum to give a systematic understanding of many resonances present in ion-atom scattering. The theory further provides a method for an accurate spectroscopic determination of the atomic polarizability. It also suggests the existence of atom-like molecules, in which multiple atoms orbit around a heavy ion.

4 pages, 2 figures

References in corpus (8)

• Feshbach Resonances in Ultracold Gases
• Atom Interferometers
• High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
• Variational calculations of dispersion coefficients for interactions between H, He, and Li atoms
• Observation of Cold Collisions between Trapped Ions and Trapped Atoms
• Mesoscopic molecular ions in Bose-Einstein condensates
• Quantum theory of ultracold atom-ion collisions
• Rotational structures of long-range diatomic molecules

Cited by in corpus (40)

• Cold hybrid ion-atom systems
• Light-assisted ion-neutral reactive processes in the cold regime: radiative molecule formation vs. charge exchange
• Millikelvin Reactive Collisions between Sympathetically-Cooled Molecular Ions and Laser-Cooled Atoms in an Ion-Atom Hybrid Trap
• Micromotion-induced Limit to Atom-Ion Sympathetic Cooling in Paul Traps
• Multichannel quantum-defect theory for ultracold atom-ion collisions
• Ion-neutral chemistry at ultralow energies: Dynamics of reactive collisions between laser-cooled Ca^+ ions and Rb atoms in an ion-atom hybrid trap
• Neutral gas sympathetic cooling of an ion in a Paul trap
• Kinetics of a single trapped ion in an ultracold buffer gas
• Lamb Shift in Muonic Hydrogen. II. Analysis of the Discrepancy of Theory and Experiment
• Ionic polaron in a Bose-Einstein condensate
• Unraveling the Structure of Ultracold Mesoscopic Molecular Ions
• Description of ion motion in a Paul trap immersed in a cold atomic gas
• Multichannel Quantum Defect Theory for cold molecular collisions
• Charged polarons and molecules in a Bose-Einstein Condensate
• Ground state properties of ultracold trapped bosons with an immersed ionic impurity
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• Quantum-defect theory for $-1/r^4$ type of interactions
• Charge transfer in the cold Yb${}^{+}$ + Rb collisions
• Cold atomic and molecular collisions: approaching the universal loss regime
• Ion-atom cold collision: Formation of cold molecular ion by radiative processes
• Impact of Many-Body Correlations on the Dynamics of an Ion-Controlled Bosonic Josephson Junction
• Spin-orbit interactions and quantum spin dynamics in cold ion-atom collisions
• Signature of the $s$-wave regime high above ultralow temperatures
• Quantum-defect theory of resonant charge exchange
• Multichannel quantum-defect theory for ion-atom interactions
• Quantum Defect Theory for Cold Chemistry with Product Quantum State Resolution
• Multichannel quantum defect theory for ro-vibrational transitions in ultracold molecule-molecule collisions
• Interactions and low energy collisions between an alkali ion and an alkali atom of different nucleus
• Multiscale quantum-defect theory and its application to atomic spectrum
• Few-body physics of ultracold atoms and molecules with long-range interactions
• A mobile ion in a Fermi sea
• Laser controlled charge-transfer reaction at low temperatures
• Bound states of an ultracold atom interacting with a set of stationary impurities
• Cooling dynamics of a free ion in a Bose-Einstein condensate
• Multichannel quantum-defect theory for anisotropic interactions
• Singularities of Floquet Scattering and Tunneling
• On the change of density of states in two-body interactions
• Quantum reactive scattering in the long-range ion-dipole potential
• Hybrid quantum systems of ions and atoms
• Multichannel Quantum Defect Theory with Numerical Reference Functions: Applications to Cold Atomic Collisions