Trapping ions with lasers

Abstract

This work theoretically addresses the trapping an ionized atom with a single valence electron by means of lasers, analyzing qualitatively and quantitatively the consequences of the net charge of the particle. In our model, the coupling between the ion and the electromagnetic field includes the charge monopole and the internal dipole, within a multipolar expansion of the interaction Hamiltonian. Specifically, we perform a Power-Zienau-Woolley transformation, taking into account the motion of the center of mass. The net charge produces a correction in the atomic dipole which is of order $m_e/M$ with $m_e$ the electron mass and $M$ the total mass of the ion. With respect to neutral atoms, there is also an extra coupling to the laser field which can be approximated by that of the monopole located at the position of the center of mass. These additional effects, however, are shown to be very small compared to the dominant dipolar trapping term.

11 pages, 2 figures, replaced with published version (minor changes)

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Quantum computing with trapped ions
• A trapped single ion inside a Bose-Einstein condensate
• 'Designer atoms' for quantum metrology
• Dynamics of a cold trapped ion in a Bose-Einstein condensate
• Complete methods set for scalable ion trap quantum information processing
• Quantum theory of ultracold atom-ion collisions
• Controlled collisions of a single atom and ion guided by movable trapping potentials
• Frenkel-Kontorova model with cold trapped ions

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• Reweighting non-equilibrium steady-state dynamics along collective variables
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