Description of ion motion in a Paul trap immersed in a cold atomic gas

Abstract

We investigate the problem of a single ion in a radio-frequency trap and immersed in an ultracold Bose gas either in a condensed or a non-condensed phase. We develop master equation formalism describing the sympathetic cooling and we determine the cooling rates of ions. We show that cold atomic reservoir modifies the stability diagram of the ion in the Paul trap creating the regions where the ion is either cooled or heated due to the energy quanta exchanged with the time-dependent potential.

11 pages, 4 figures, extended and substantially revised version of the article

References in corpus (17)

• A trapped single ion inside a Bose-Einstein condensate
• Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
• Cold atom-ion experiments in hybrid traps
• Quantum theory of ultracold atom-ion collisions
• Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms
• Controlled collisions of a single atom and ion guided by movable trapping potentials
• Ion-neutral chemistry at ultralow energies: Dynamics of reactive collisions between laser-cooled Ca^+ ions and Rb atoms in an ion-atom hybrid trap
• Universal properties in ultracold ion-atom interactions
• A new method for producing ultracold molecular ions
• Light-Assisted Cold Chemical Reactions of Barium Ions with Rubidium Atoms
• Neutral gas sympathetic cooling of an ion in a Paul trap
• Sympathetic cooling of the Ba${}^{+}$ ion by collisions with ultracold Rb atoms: theoretical prospects
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• Quantum-defect theory for $-1/r^4$ type of interactions
• Micromotion in trapped atom-ion systems
• Ion-neutral sympathetic cooling in a hybrid linear rf Paul and magneto-optical trap
• Probing ultra-cold Fermi atoms with a single ion

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• Ground state properties of ultracold trapped bosons with an immersed ionic impurity
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• Reactive two-body and three-body collisions of Ba${}^{+}$ in an ultracold Rb gas
• Many-body bound states and induced interactions of charged impurities in a bosonic bath
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• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
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• Impact of ion motion on atom-ion confinement-induced resonances in hybrid traps
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• Dynamics of a trapped ion in a quantum gas: effects of particle statistics
• Compound atom-ion Josephson junction: Effects of finite temperature and ion motion
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• Experimental setup for studying an ultracold mixture of trapped Yb${}^{+}$-${}^6$Li
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• Fermi polaron in atom-ion hybrid systems
• Bound states of an ultracold atom interacting with a set of stationary impurities
• Singularities of Floquet Scattering and Tunneling
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• Cooling dynamics of a free ion in a Bose-Einstein condensate
• Dynamics of a Mobile Ion in a Bose-Einstein Condensate
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