Sideband cooling of small ion Coulomb crystals in a Penning trap

References

• Thompson, R.C. Ion Coulomb Crystals. Contemp. Phys. 2015, 56, 63–79.
   Web of Science ®Google Scholar
• Britton, J.W.; Sawyer, B.C.; Keith, A.C.; Joseph Wang, C.C.; Freericks, J.K.; Uys, H.; Biercuk, M.J.; Bollinger, J.J. Engineered Two-dimensional Ising Interactions in a Trapped-ion Quantum Simulator with Hundreds of Spins. Nature 2012, 484, 489–492.
   PubMed Web of Science ®Google Scholar
• Debnath, S.; Linke, N.M.; Figgatt, C.; Landsman, K.A.; Wright, K.; Monroe, C. Demonstration of a Small Programmable Quantum Computer with Atomic Qubits. Nature 2016, 536, 63–66.
   PubMed Web of Science ®Google Scholar
• Monz, T.; Nigg, D.; Martinez, E.A.; Brandl, M.F.; Schindler, P.; Rines, R.; Wang, S.X.; Chuang, I.L.; Blatt, R. Realization of a Scalable Shor Algorithm. Science 2016, 351, 1068–1070.
   PubMed Web of Science ®Google Scholar
• Herskind, P.F.; Dantan, A.; Marler, J.P.; Albert, M.; Drewsen, M. Realization of Collective Strong Coupling with Ion Coulomb Crystals in an Optical Cavity. Nat. Phys. 2009, 5, 494–498.
   Web of Science ®Google Scholar
• Chou, C.W.; Hume, D.B.; Koelemeij, J.C.J.; Wineland, D.J.; Rosenband, T. Frequency Comparison of Two High-Accuracy Al+ Optical Clocks. Phys. Rev. Lett. 2010, 104, 070802.
   PubMed Web of Science ®Google Scholar
• Leanhardt, A.E.; Bohn, J.L.; Loh, H.; Maletinsky, P.; Meyer, E.R.; Sinclair, L.C.; Stutz, R.P.; Cornell, E.A. High-resolution Spectroscopy on Trapped Molecular Ions in Rotating Electric Fields: A New Approach for Measuring the Electron Electric Dipole Moment. J. Mol. Spectrosc. 2011, 270 (1), 1–25.
   Web of Science ®Google Scholar
• Bollinger, J.J.; Kriesel, J.M.; Mitchell, T.B.; King, L.B.; Jensen, M.J.; Itano, W.M.; Dubin, D.H.E. Laser-cooled Ion Plasmas in Penning Traps. J. Phys. B: At. Mol. Opt. Phys. 2003, 36, 499–510.
   Web of Science ®Google Scholar
• Blaum, K.; Novikov, Y.N.; Werth, G. Penning Traps as a Versatile Tool for Precise Experiments in Fundamental Physics. Contemp. Phys. 2010, 51, 149–175.
   Web of Science ®Google Scholar
• Smorra, C.; Blaum, K.; Bojtar, L.; Borchert, M.; Franke, K.A.; Higuchi, T.; Leefer, N.; Nagahama, H.; Matsuda, Y.; Mooser, A.; Niemann, M.; Ospelkaus, C.; Quint, W.; Schneider, G.; Sellner, S.; Tanaka, T.; Van Gorp, S.; Walz, J.; Yamazaki, Y.; Ulmer, S. BASE: The Baryon Antibaryon Symmetry Experiment. Eur. Phys. J. Spec. Top. 2015, 224, 3055–3108.
   Web of Science ®Google Scholar
• Murböck, T.; Schmidt, S.; Birkl, G.; Nörtershäuser, W.; Thompson, R.C.; Vogel, M. Rapid Crystallization of Externally Produced Ions in a Penning Trap. Phys. Rev. A 2016, 94, 043410.
   Web of Science ®Google Scholar
• Cirac, J.I.; Zoller, P. Quantum Computations with Cold Trapped Ions. Phys. Rev. Lett. 1995, 74, 4091–4094.
   PubMed Web of Science ®Google Scholar
• Lanyon, B.P.; Jurcevic, P.; Zwerger, M.; Hempel, C.; Martinez, E.A.; Dür, W.; Briegel, H.J.; Blatt, R.; Roos, C.F. Measurement-based Quantum Computation with Trapped Ions. Phys. Rev. Lett. 2013, 111, 210501.
   PubMed Web of Science ®Google Scholar
• Kim, K.; Chang, M.-S.; Korenblit, S.; Islam, R.; Edwards, E.E.; Freericks, J.K.; Lin, G.-D.; Duan, L.-M.; Monroe, C. Quantum Simulation of Frustrated Ising Spins with Trapped Ions. Nature 2010, 465, 590–593.
   PubMed Web of Science ®Google Scholar
• Bohnet, J.G.; Sawyer, B.C.; Britton, J.W.; Wall, M.L.; Rey, A.M.; Foss-Feig, M.; Bollinger, J.J. Quantum Spin Dynamics and Entanglement Generation with Hundreds of Trapped Ions. Science 2016, 352, 1297–1301.
   PubMed Web of Science ®Google Scholar
• Yoshimura, B.; Stork, M.; Dadic, D.; Campbell, W.C.; Freericks, J.K. Creation of Two-dimensional Coulomb Crystals of Ions in Oblate Paul Traps for Quantum Simulations. EPJ Quantum Technol. 2015, 2, 2.
   Web of Science ®Google Scholar
• Mielenz, M.; Kalis, H.; Wittemer, M.; Hakelberg, F.; Warring, U.; Schmied, R.; Blain, M.; Maunz, P.; Moehring, D.L.; Leibfried, D.; Schaetz, T. Arrays of Individually Controlled Ions Suitable for Two-dimensional Quantum Simulations. Nat. Commun. 2016, 7, 11839.
   Web of Science ®Google Scholar
• Mavadia, S.; Goodwin, J.F.; Stutter, G.; Bharadia, S.; Crick, D.R.; Segal, D.M.; Thompson, R.C. Control of the Conformations of Ion Coulomb Crystals in a Penning Trap. Nat. Commun. 2013, 4, 2571.
   PubMed Web of Science ®Google Scholar
• Hasegawa, T.; Jensen, M.J.; Bollinger, J.J. Stability of a Penning Trap with a Quadrupole Rotating Electric Field. Phys. Rev. A 2005, 71, 023406.
   Web of Science ®Google Scholar
• Leibfried, D.; Blatt, R.; Monroe, C.; Wineland, D.J. Quantum Dynamics of Single Trapped Ions. Rev. Mod. Phys. 2003, 75, 281–324.
   Web of Science ®Google Scholar
• Poulsen, G.; Miroshnychenko, Y.; Drewsen, M. Efficient Ground-state Cooling of an Ion in a Large Room-temperature Linear Paul Trap with a Sub-hertz Heating Rate. Phys. Rev. A 2012, 86, 051402.
   Web of Science ®Google Scholar
• Goodwin, J.F.; Stutter, G.; Thompson, R.C.; Segal, D.M. Resolved-sideband Laser Cooling in a Penning Trap. Phys. Rev. Lett. 2016, 116, 143002.
   PubMed Web of Science ®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
• Joshi, M., et al. Simulation of resolved sideband cooling of two-ion systems outside the Lamb-Dicke regime, in preparation 2017.
   Google Scholar
• Powell, H.F.; Segal, D.M.; Thompson, R.C. Axialization of Laser Cooled Magnesium Ions in a Penning Trap. Phys. Rev. Lett. 2002, 89, 093003.
   PubMed Web of Science ®Google Scholar
• Mavadia, S.; Stutter, G.; Goodwin, J.F.; Crick, D.R.; Thompson, R.C.; Segal, D.M. Optical Sideband Spectroscopy of a Single Ion in a Penning Trap. Phys. Rev. A 2014, 89, 032502.
   Web of Science ®Google Scholar
• Itano, W.M.; Wineland, D.J. Laser Cooling of Ions Stored in Harmonic and Penning Traps. Phys. Rev. A 1982, 25, 35–54.
   Web of Science ®Google Scholar
• Itano, W.M.; Brewer, L.R.; Larson, D.J.; Wineland, D.J. Perpendicular Laser Cooling of a Rotating Ion Plasma in a Penning Trap. Phys. Rev. A 1988, 38, 5698–5706.
   Web of Science ®Google Scholar
• Asprusten, M.; Worthington, S.; Thompson, R.C. Theory and Simulation of Ion Coulomb Crystal Formation in a Penning Trap. Appl. Phys. B 2014, 114, 157–166.
   Web of Science ®Google Scholar
• Marzoli, I.; Cirac, J.I.; Blatt, R.; Zoller, P. Laser Cooling of Trapped Three-level Ions: Designing two-Level Systems for Sideband Cooling. Phys. Rev. A 1994, 49, 2771–2779.
   PubMed Web of Science ®Google Scholar
• Home, J. Entanglement of Two Trapped-ion Spin Qubits. PhD thesis, Oxford University, 2006.
   Google Scholar
• Khan, A.; Yoshimura, B.; Freericks, J.K. Theoretical basis for quantum simulation with a planar ionic crystal in a Penning trap using a triangular rotating wall. Phys. Rev. A – At. Mol. Opt. Phys. 2015, 92, (4), 1–11.
   Web of Science ®Google Scholar
• Lechner, R.; Maier, C.; Hempel, C.; Jurcevic, P.; Lanyon, B.P.; Monz, T.; Brownnutt, M.; Blatt, R.; Roos, C.F. Electromagnetically-induced-transparency Ground-state Cooling of Long Ion Strings. Phys. Rev. A 2016, 93, 053401.
   Web of Science ®Google Scholar
• Goodwin, J.F.; Brown, B.J.; Stutter, G.; Dale, H.; Thompson, R.C.; Rudolph, T. Trapped-ion Quantum Error-correcting Protocols using Only Global Operations. Phys. Rev. A 2015, 92, 032314.
   Web of Science ®Google Scholar
• Schmoger, L.; Versolato, O.O.; Schwarz, M.; Kohnen, M.; Windberger, A.; Piest, B.; Feuchtenbeiner, S.; Pedregosa-Gutierrez, J.; Leopold, T.; Micke, P.; Hansen, A.K.; Baumann, T.M.; Drewsen, M.; Ullrich, J.; Schmidt, P.O.; Lopez-Urrutia, J.R.C. Coulomb Crystallization of Highly Charged Ions. Science 2015, 347, 1233–1236.
   PubMed Web of Science ®Google Scholar