Impact of ion motion on atom-ion confinement-induced resonances in hybrid traps

Abstract

We investigate confinement-induced resonances in atom-ion quantum mixtures confined in hybrid traps. Specifically, we consider an ion confined in a time-dependent radio-frequency Paul trap with linear geometry, while the atom is constrained to move into a quasi-one-dimensional optical waveguide within the ion trap. We evaluate the impact of the ion intrinsic micromotion on the resonance position. Thus, we solve the atom-ion dynamics semiclassically, namely the atom dynamics is governed by the three-dimensional time-dependent Schrödinger equation, whereas the ion motion is described by the classical Hamilton equations. We find that the energy of the ion provided by the oscillating radiofrequency fields can affect the resonance position substantially. Notwithstanding, the peculiar phenomenology of those resonances regarding perfect transmission and reflection is still observable. These findings indicate that the intrinsic micromotion of the ion is not detrimental for the occurrence of the resonance and that its position can be controlled by the radiofrequency fields. This provides an additional mean for tuning atom-ion interactions in low spatial dimensions. The study represents an important advancement in the scattering physics of compound atomic quantum systems in time-dependent traps.

arXiv comment14 pages, 7 figures

References in corpus (50)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Cold hybrid ion-atom systems
• Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
• Mesoscopic molecular ions in Bose-Einstein condensates
• Micromotion-induced Limit to Atom-Ion Sympathetic Cooling in Paul Traps
• Quantum theory of ultracold atom-ion collisions
• Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms
• Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
• Atom-ion quantum gate
• Decoherence of a single-ion qubit immersed in a spin-polarized atomic bath
• An ionic impurity in a Bose-Einstein condensate at sub-microkelvin temperatures
• Controlled collisions of a single atom and ion guided by movable trapping potentials
• Cold interactions between an Yb${}^{+}$ ion and a Li atom: Prospects for sympathetic cooling, radiative association, and Feshbach resonances
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Observation of collisions between cold Li atoms and Yb${}^{+}$ ions
• Suppression of Quantum Scattering in Strongly Confined Systems
• Strongly Correlated Bosons on a Dynamical Lattice
• Quantum State Control via Trap-induced Shape Resonance in Ultracold Atomic Collisions
• Unraveling the Structure of Ultracold Mesoscopic Molecular Ions
• Observation of Rydberg Blockade Induced by a Single Ion
• Description of ion motion in a Paul trap immersed in a cold atomic gas
• Charge-exchange collisions between ultracold fermionic lithium atoms and calcium ions
• Controlled long-range interactions between Rydberg atoms and ions
• Characterization of charge-exchange collisions between ultracold ${}^6\mathrm{Li}$ atoms and ${}^{40}\mathrm{C}{\mathrm{a}}^{+}$ ions
• Optical trapping of ion Coulomb crystals
• Quantum dynamics of resonant molecule formation in waveguides
• Dynamics of a single ion spin impurity in a spin-polarized atomic bath
• Micromotion in trapped atom-ion systems
• Observation of Interactions between Trapped Ions and Ultracold Rydberg Atoms
• Quantum dynamics of an atomic double-well system interacting with a trapped ion
• Quantum Scattering in Quasi-1D Cylindrical Confinement
• Phase-locking between different partial-waves in atom-ion spin-exchange collisions
• Prospects of reaching the quantum regime in Li-Yb${}^{+}$ mixtures
• Quantum energy flow in atomic ions moving in magnetic fields
• 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
• Trapped ions in Rydberg-dressed atomic gases
• 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
• Generalised Kronig-Penney model for ultracold atomic quantum systems
• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
• Compound atom-ion Josephson junction: Effects of finite temperature and ion motion
• Charge dynamics of a molecular ion immersed in a Rydberg-dressed atomic lattice gas
• Single-atom transistor as a precise magnetic field sensor
• Quantum state engineering with a trapped atom and a set of static impurities
• Ion-induced interactions in a Tomonaga-Luttinger liquid
• Confinement-Induced Resonances in Two-Center Problem via Pseudopotential Approach
• Magnetic-field gradiometer based on ultracold collisions

Cited by in corpus (10)

• Improving Efficiency of Sympathetic Cooling in Atom-Ion and Atom-Atom Confined Collisions
• Dynamics of a trapped ion in a quantum gas: effects of particle statistics
• Ion-induced interactions in a Tomonaga-Luttinger liquid
• Spectral properties of a three body atom-ion hybrid system
• Confinement Induced Resonance with Weak Bare Interaction in a Quasi 3+0 Dimensional Ultracold Gas
• Quantum-quasiclassical analysis of center-of-mass nonseparability in hydrogen atom stimulated by strong laser fields
• Ultracold collisions of a neutral atom with a trapped ion in 1D
• Quantum reactive scattering in the long-range ion-dipole potential
• Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance
• A New Mechanism for Sympathetic Cooling of Atoms and Ions in Atomic and Ion-Atomic Traps