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arXiv:1304.0049 · Physical Review Letters

Suppression of Ion Transport due to Long-Lived Subwavelength Localization by an Optical Lattice

Leon Karpa, Alexei Bylinskii, Dorian A. Gangloff, Marko Cetina, Vladan Vuletić

Published Oct 16, 2013• 46 citations
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Abstract

We report the localization of an ion by a one-dimensional optical lattice in the presence of an applied external force. The ion is confined radially by a radio frequency trap and axially by a combined electrostatic and optical-lattice potential. Using a resolved Raman sideband technique, one or several ions are cooled to a mean vibrational number <n>=(0.1±0.1) along the optical lattice. We measure the average position of a periodically driven ion with a resolution down to λ/40, and demonstrate localization to a single lattice site for up to 10 ms. This opens new possibilities for studying many-body systems with long-range interactions in periodic potentials, as well as fundamental models of friction.

DOI
10.1103/physrevlett.111.163002

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We report the localization of an ion by a one-dimensional optical lattice in the presence of an applied external force. The ion is confined radially by a radio frequency trap and axially by a combined electrostatic and optical-lattice potential. Using a resolved Raman sideband technique, one or several ions are cooled to a mean vibrational number <n>=(0.1±0.1) along the optical lattice. We measure the average position of a periodically driven ion with a resolution down to λ/40, and demonstrate localization to a single lattice site for up to 10 ms. This opens new possibilities for studying many-body systems with long-range interactions in periodic potentials, as well as fundamental models of friction.
We present an experimental study of the spatial diffusion of a single ion in a polarization gradient field. A 24 Mg + ion was radially confined in a two-dimensional radio-frequency (rf) trap, while an optical lattice superimposed to a weak electric potential was applied along the free axis. With the help of a statistical analysis of single ion trajectories, a spatial diffusion constant was obtained as a function of optical potential depth. The results are compared to semiclassical theoretical models for trapped ions and neutral atoms.
An experimental study of sideband laser cooling of trapped ions in miniature radio-frequency traps is presented. In+{\mathrm{In}}^{+}In+ ions are laser cooled by exciting the narrow intercombination line ${5s}^{2}{}^{1}{S}_{0}\ensuremath{\rightarrow}5s5p{}^{3}{P}_{1}$, which shows resolved sidebands due to the vibrational motion of the ions in the trap. The influence of the micromotion at the frequency of the oscillating trapping field is investigated. Heating processes through coupling with the trapping field occur for certain regions of negative laser detuning. A method of bichromatic sideband cooling is introduced that combines efficient cooling from high temperatures with the possibility of reaching low mean vibrational quantum numbers 〈n〉<1〈n〉<1〈n〉<1 by using narrow optical transitions. This technique allows recording of high-resolution excitation spectra of the cooling transition in the Lamb-Dicke regime and thus determination of 〈n〉〈n〉〈n〉. Single ions as well as two-ion Coulomb crystals have been cooled to temperatures below $100 \ensuremath{\mu}\mathrm{K}$, and population of the ground state of motion to more than 50% over long time scales is demonstrated. These values are close to the lower limit for the detection of vibrational excitation with the present method.
We form a one-dimensional optical lattice for Cs atoms using light tuned a few thousand linewidths below atomic resonance. Atoms are selectively loaded into deeply bound states by adiabatic transfer from a superimposed, near-resonance optical lattice. This yields a mean vibrational excitation n-bar\ensuremath{\approx}0.3 and localization \ensuremath{\Delta}z\ensuremath{\approx}\ensuremath{\lambda}/20. Light scattering subsequently heats the atoms, but the initial rate is only of order ${10}^{\mathrm{\ensuremath{-}}3}$ vibrational quanta per oscillation period. Low vibrational excitation, strong localization, and low heating rates make these atoms good candidates for resolved-sideband Raman cooling.
The trapped ion system is one of the most promising and reliable platforms to control and study quantum mechanical phenomena and their applications. For efficient coherent manipulation of both external and internal motional states of an ion, the ion has to be in the ground state of the trapping potential. This can be achieved by resolved sideband cooling, so cooling of the motional mode is a pre-requisite. In a radially symmetric ideal linear trap, the two radial modes are often degenerate, leading to strong coupling between them and hence inefficient cooling by a single laser beam. Here, we show that by breaking the degeneracy of theradial motional modes, sideband cooling can be performed efficiently for a selected radial motional mode. We have achieved an averaged vibrational quantum number < n x > = 0.03(8) in a selected radial direction after resolved sideband cooling for a single barium ion.
We trap neutral Cs atoms in a two-dimensional optical lattice and cool them close to the zero point of motion by resolved-sideband Raman cooling. Sideband cooling occurs via transitions between the vibrational manifolds associated with a pair of magnetic sublevels, and the required Raman coupling is provided by the lattice potential itself. We obtain mean vibrational excitations ${\overline{n}}_{x}\ensuremath{\approx}{\overline{n}}_{y}<0.024$, corresponding to a population >95>95%>95 in the vibrational ground state. Atoms in the ground state of an optical lattice provide a new system in which to explore quantum state control and subrecoil laser cooling.
We form a 1D optical lattices for Cs atoms using light tuned a few thousand linewidths below the 6S1/2(F equals 4) yields 6P3/2(F' equals 5) transition at 852 nm. In this far-off- resonance lattice the time scale for damping of motional coherences and kinetic energy can be orders of magnitude longer than the vibrational oscillation period for atoms trapped in the lattice potential wells. Atoms are loaded directly into deeply bound states, by adiabatic transfer from a superimposed, near-resonance optical lattice. This yields a mean vibrational excitation n approximately equals 0.3, and localization (Delta) z approximately (lambda) /20 deep in the Lamb-Dicke regime. Light scattering subsequently heats the atoms, but the initial rate is only of order 10-3 vibrational quanta per oscillation period. Low vibrational excitation, localization in the Lamb-Dicke regime and low heating rates make these atoms good candidates for resolved- sideband Raman cooling, and for the generation and study of non-classical states of center-of-mass motion. We propose a scheme for resolved-sideband Raman cooling and quantum state preparation; the scheme employs Raman coupling between magnetic sublevels induced by the lattice light field itself.