Radio frequency sideband cooling and sympathetic cooling of trapped ions in a static magnetic field gradient

References

• Diedrich, F.; Bergquist, J.C.; Itano, W.M.; Wineland, D.J. Laser Cooling to the Zero-point Energy of Motion. Phys. Rev. Lett. 1989, 62, 403–406.
   PubMed Web of Science ®Google Scholar
• Monroe, C.; Meekhof, D.M.; King, B.E.; Jefferts, S.R.; Itano, W.M.; Wineland, D.J.; Gould, P. Resolved-sideband Raman Cooling of a Bound Atom to the 3D Zero-point Energy. Phys. Rev. Lett. 1995, 75, 4011–4014.
   PubMed Web of Science ®Google Scholar
• Roos, C.; Zeiger, T.; Rohde, H.; Nägerl, H.C.; Eschner, J.; Leibfried, D.; Schmidt-Kaler, F.; Blatt, R. Quantum State Engineering on an Optical Transition and Decoherence in a Paul Trap. Phys. Rev. Lett. 1999, 83, 4713–4716.
   Web of Science ®Google Scholar
• Thompson, J.D.; Tiecke, T.G.; Zibrov, A.S.; Vuletić, V.; Lukin, M.D. Coherence and Raman Sideband Cooling of a Single Atom in an Optical Tweezer. Phys. Rev. Lett. 2013, 110, 133001.
   PubMed Web of Science ®Google Scholar
• Eschner, J.; Morigi, G.; Schmidt-Kaler, F.; Blatt, R. Laser Cooling of Trapped Ions. J. Opt. Soc. Am. B 2003, 20 (5), 1003–1015.
   Web of Science ®Google Scholar
• Segal, D.M.; Wunderlich, C. Physics with Trapped Charged Particles : Lectures from the Les Houches Winter School, Knoop, M., Madsen, N., Thompson, R.C., Eds.; Imperial College Press: London, 2014. pp. 43–81.
   Google Scholar
• Mintert, F.; Wunderlich, C. Ion-trap Quantum Logic using Long-wavelength Radiation. Phys. Rev. Lett. 2001, 87, 257904.
   PubMed Web of Science ®Google Scholar
• Ospelkaus, C.; Langer, C.E.; Amini, J.M.; Brown, K.R.; Leibfried, D.; Wineland, D.J. Trapped-ion Quantum Logic Gates Based on Oscillating Magnetic Fields. Phys. Rev. Lett. 2008, 101, 090502.
   PubMed Web of Science ®Google Scholar
• Welzel, J.; Bautista-Salvador, A.; Abarbanel, C.; Wineman-Fisher, V.; Wunderlich, C.; Folman, R.; Schmidt-Kaler, F. Designing Spin-spin Interactions with One and Two Dimensional Ion Crystals in Planar Micro Traps. Eur. Phys. J. D 2011, 65 (1), 285–297.
   Web of Science ®Google Scholar
• Wölk, S.; Wunderlich, C. Quantum Dynamics of Trapped ions in a Dynamic Field Gradient using Dressed States. New J. Phys. 2017, 19, 083021.
   Web of Science ®Google Scholar
• Weidt, S.; Randall, J.; Webster, S.C.; Lake, K.; Webb, A.E.; Cohen, I.; Navickas, T.; Lekitsch, B.; Retzker, A.; Hensinger, W.K. Trapped-Ion Quantum Logic with Global Radiation Fields. Phys. Rev. Lett. 2016, 117, 220501.
   PubMed Web of Science ®Google Scholar
• Harty, T.P.; Sepiol, M.A.; Allcock, D.T.C.; Ballance, C.J.; Tarlton, J.E.; Lucas, D.M. High-Fidelity Trapped-Ion Quantum Logic Using Near-Field Microwaves. Phys. Rev. Lett. 2016, 117, 140501.
   PubMed Web of Science ®Google Scholar
• Piltz, C.; Sriarunothai, T.; Ivanov, S.S.; Wölk, S.; Wunderlich, C. Versatile Microwave-driven Trapped ion Spin System for Quantum Information Processing. Sci. Adv. 2016, 2 (7), e1600093.
   PubMed Web of Science ®Google Scholar
• Kawai, Y.; Shimizu, K.; Noguchi, A.; Urabe, S.; Tanaka, U. Surface-electrode Trap with an Integrated Permanent Magnet for Generating a Magnetic-field Gradient at Trapped ions. J. Phys. B 2017, 50 (2), 025501.
   Google Scholar
• Wahnschaffe, M.; Hahn, H.; Zarantonello, G.; Dubielzig, T.; Grondkowski, S.; Bautista-Salvador, A.; Kohnen, M.; Ospelkaus, C. Single-ion Microwave Near-field Quantum Sensor. Appl. Phys. Lett. 2017, 110 (3), 034103.
   Web of Science ®Google Scholar
• Ospelkaus, C.; Warring, U.; Colombe, Y.; Brown, K.R.; Amini, J.M.; Leibfried, D.; Wineland, D.J. Microwave Quantum Logic Gates for Trapped ions. Nature 2011, 476 (7359), 181–184.
   PubMed Web of Science ®Google Scholar
• Scharfenberger, B. Seitenbandkhlung von Gespeicherten Ytterbium-Ionen im Mikrowellenregime, Ph.D. Thesis, University of Siegen, 2012.
   Google Scholar
• Weidt, S.; Randall, J.; Webster, S.C.; Standing, E.D.; Rodriguez, A.; Webb, A.E.; Lekitsch, B.; Hensinger, W.K. Ground-State Cooling of a Trapped Ion Using Long-Wavelength Radiation. Phys. Rev. Lett. 2015, 115, 013002.
   PubMed Web of Science ®Google Scholar
• Varón, A.F.; Scharfenberger, B.; Piltz, C.; Khromova, A.; Wunderlich, C. In Microwave Sideband Cooling of Trapped Ions using a Static Magnetic Gradient. Verhandl. DPG (VI) 48, 4/2013, Deutsche Physikalische Gesellschaft: 2013.
   Google Scholar
• Perrin, H.; Kuhn, A.; Bouchoule, I.; Salomon, C. Sideband Cooling of Neutral Atoms in a Far-detuned Optical Lattice. Europhys. Lett. 1998, 42 (4), 395.
   Google Scholar
• Winoto, S.L.; DePue, M.T.; Bramall, N.E.; Weiss, D.S. Laser Cooling at High Density in Deep Far-detuned Optical Lattices. Phys. Rev. A 1999, 59, R19–R22.
   Web of Science ®Google Scholar
• Kaufman, A.M.; Lester, B.J.; Regal, C.A. Cooling a Single Atom in an Optical Tweezer to Its Quantum Ground State. Phys. Rev. X 2012, 2, 041014.
   Web of Science ®Google Scholar
• Reiserer, A.; Nölleke, C.; Ritter, S.; Rempe, G. Ground-State Cooling of a Single Atom at the Center of an Optical Cavity. Phys. Rev. Lett. 2013, 110, 223003.
   PubMed Web of Science ®Google Scholar
• Stenholm, S. The Semiclassical Theory of Laser Cooling. Rev. Mod. Phys. 1986, 58, 699–739.
   Web of Science ®Google Scholar
• Khromova, A.; Piltz, C.; Scharfenberger, B.; Gloger, T.F.; Johanning, M.; Varón, A.F.; Wunderlich, C. Designer Spin Pseudomolecule Implemented with Trapped Ions in a Magnetic Gradient. Phys. Rev. Lett. 2012, 108, 220502.
   PubMed Web of Science ®Google Scholar
• Bell, A.S.; Gill, P.; Klein, H.A.; Levick, A.P.; Tamm, C.; Schnier, D. Laser Cooling of Trapped Ytterbium Ions using a Four-level Optical-excitation Scheme. Phys. Rev. A 1991, 44, R20–R23.
   PubMed Web of Science ®Google Scholar
• Engelke, D.; Tamm, C. Dark Times in the Resonance Fluorescence of Trapped M171Yb Ions Caused by Spontaneous Quantum Jumps to the 2D3/2 (F = 2) State. Europhys. Lett. 1966, 33, (5), 347
   Google Scholar
• Wölk, S.; Piltz, C.; Sriarunothai, T.; Wunderlich, C. State Selective Detection of Hyperfine Qubits. J. Phys. B 2015, 48 (7), 075101.
   Google Scholar
• Segal, D.M.; Knight, P.L.; Meschede, D. Quantum Information Processing using Selectively Addressed Atoms. J. Mod. Opt. 2007, 54 (11), 1537–1540.
   Web of Science ®Google Scholar
• Johanning, M.; Braun, A.; Timoney, N.; Elman, V.; Neuhauser, W.; Wunderlich, C. Individual Addressing of Trapped Ions and Coupling of Motional and Spin States Using rf Radiation. Phys. Rev. Lett. 2009, 102, 073004.
   PubMed Web of Science ®Google Scholar
• Belmechri, N.; Förster, L.; Alt, W.; Widera, A.; Meschede, D.; Alberti, A. Microwave Control of Atomic Motional States in a Spin-dependent Optical Lattice. J. Phys. B 2013, 46 (10), 104006.
   Google Scholar
• Piltz, C.; Sriarunothai, T.; Varón, A.; Wunderlich, C. A Trapped-ion-based Quantum Byte with 10-5 Next-neighbour Cross-talk. Nat. Commun. 2014, 5, 4679.
   PubMed Web of Science ®Google Scholar
• Wunderlich, C. In Conditional Spin Resonance with Trapped Ions. Figger, H., Zimmermann, C., Meschede, D., Eds.; Springer, Berlin Heidelberg: Berlin, 2002. pp. 261–273.
   Google Scholar
• Wunderlich, C.; Morigi, G.; Reiß, D. Simultaneous Cooling of Axial Vibrational Modes in a Linear Ion Trap. Phys. Rev. A 2005, 72, 023421.
   Web of Science ®Google Scholar
• Wineland, D.J.; Dehmelt, H. Proposed 1014δv < v Laser Fluorescence Spectroscopy on Tl+ Mono-ion Oscillator III (Sideband Cooling). Bull. Am. Phys. Soc. 1975, 20, 637.
   Google Scholar
• Morigi, G.; Eschner, J.; Cirac, J.I.; Zoller, P. Laser Cooling of Two Trapped Ions: Sideband Cooling Beyond the Lamb-Dicke Limit. Phys. Rev. A 1999, 59, 3797–3808.
   Web of Science ®Google Scholar
• Rohde, H.; Gulde, S.T.; Roos, C.F.; Barton, P.A.; Leibfried, D.; Eschner, J.; Schmidt-Kaler, F.; Blatt, R. Sympathetic Ground-state Cooling and Coherent Manipulation with Two-ion Crystals. J. Opt. B 2001, 3 (1), S34.
   Google Scholar
• Ballance, C.J.; Schäfer, V.M.; Home, J.P.; Szwer, D.J.; Webster, S.C.; Allcock, D.T.C.; Linke, N.M.; Harty, T.P.; Craik, D.P.L.A.; Stacey, D.N.; Steane, A.M.; Lucas, D.M.; Hybrid Quantum Logic and a Test of Bell’s Inequality using Two Different Atomic Isotopes. Nature 2015, 528 (7582), 384–386.
   PubMed Web of Science ®Google Scholar
• Barrett, M.D.; DeMarco, B.; Schaetz, T.; Meyer, V.; Leibfried, D.; Britton, J.; Chiaverini, J.; Itano, W.M.; Jelenković, B.; Jost, J.D.; et al. Sympathetic Cooling of 9Be+ and 24Mg+ for Quantum Logic. Phys. Rev. A 2003, 68, 042302.
   Web of Science ®Google Scholar
• Guggemos, M.; Heinrich, D.; Herrera-Sancho, O.A.; Blatt, R.; Roos, C.F. Sympathetic Cooling and Detection of a Hot Trapped Ion by a Cold One, New. J. Phys. 2015, 17 (10), 103001.
   Google Scholar
• Roth, B.; Blythe, P.; Schiller, S. Motional Resonance Coupling in Cold Multispecies Coulomb Crystals. Phys. Rev. A 2007, 75, 023402.
   Web of Science ®Google Scholar
• Goeders, J.E.; Clark, C.R.; Vittorini, G.; Wright, K.; Viteri, C.R.; Brown, K.R. Identifying Single Molecular Ions by Resolved Sideband Measurements. J. Phys. Chem. A 2013, 117 (39), 9725–9731.
   PubMed Web of Science ®Google Scholar
• Marinescu, D.C. Classical and Quantum Information; Academic Press, 2011. ISBN numbers: 0123838754 and 9780123838759.
   Google Scholar
• Home, J.P. Quantum Science and Metrology with Mixed-Species Ion Chains. Adv. At. Mol. Opt. Phys. 2013, 62, 231–277.
   Web of Science ®Google Scholar
• Walls, D.; Milburn, G.J., Eds. Quantum Optics; Springer Verlag, Berlin, 1994.
   Google Scholar
• Vogel, W.; de Matos Filho, R.L. Nonlinear Jaynes--Cummings Dynamics of a Trapped Ion. Phys. Rev. A 1995, 52, 4214–4217.
   PubMed Web of Science ®Google Scholar