Probing ultra-cold Fermi atoms with a single ion

Abstract

We show that the recently proposed ionic microscope set-up [Kollath et.al, PRA, \textbf{76}, 063602 (2007)] could be adapted to measure the \textit {local single-particle energy distribution} of a degenerate Fermi gas \textit{in situ} with the resolution on the nanometer scale. We study an ion held in a Paul trap in an atomic Fermi gas and compute the two-photon Raman photo-association rate of the ion and an atom. We show that, as a function of the detunings between the frequencies of the two incident lasers and energies in the atom-ion system, the photo-association rate directly measures the single-particle energy distribution in the Fermi gas around the ion. We describe an experiment to measure the photo-association rate of a trapped ion and argue that, as the position of the ion can be scanned through the Fermi gas, this experiment directly probes the local energy and spin-state distribution of the Fermi gas.

5 pages, 2 figures

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Cited by in corpus (14)

• A trapped single ion inside a Bose-Einstein condensate
• Cold hybrid ion-atom systems
• Micromotion-induced Limit to Atom-Ion Sympathetic Cooling in Paul Traps
• Controllable manipulation and detection of local densities and bipartite entanglement in a quantum gas by a dissipative defect
• Kinetics of a single trapped ion in an ultracold buffer gas
• Description of ion motion in a Paul trap immersed in a cold atomic gas
• Characterization of charge-exchange collisions between ultracold ${}^6\mathrm{Li}$ atoms and ${}^{40}\mathrm{C}{\mathrm{a}}^{+}$ ions
• Observation of elastic collisions between lithium atoms and calcium ions
• Ion induced density bubble in a strongly correlated one dimensional gas
• Quantum-limited thermometry of a Fermi gas with a charged spin particle
• Hybrid quantum systems of atoms and ions
• Ion-induced interactions in a Tomonaga-Luttinger liquid
• Bound states of an ultracold atom interacting with a set of stationary impurities
• Quantum reactive scattering in the long-range ion-dipole potential