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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 11 — May. 23, 2011
  • pp: 10304–10316

Phase-coherent detection of an optical dipole force by Doppler velocimetry

M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger  »View Author Affiliations


Optics Express, Vol. 19, Issue 11, pp. 10304-10316 (2011)
http://dx.doi.org/10.1364/OE.19.010304


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Abstract

We report phase-coherent Doppler detection of optical dipole forces using large ion crystals in a Penning trap. The technique is based on laser Doppler velocimetry using a cycling transition in 9Be+ near 313 nm and the center-of-mass (COM) ion motional mode. The optical dipole force is tuned to excite the COM mode, and measurements of photon arrival times synchronized with the excitation potential show oscillations with a period commensurate with the COM motional frequency. Experimental results compare well with a quantitative model for a driven harmonic oscillator. This technique permits characterization of motional modes in ion crystals; the measurement of both frequency and phase information relative to the driving force is a key enabling capability – comparable to lockin detection – providing access to a parameter that is typically not available in time-averaged measurements. This additional information facilitates discrimination of nearly degenerate motional modes.

© 2011 OSA

OCIS Codes
(020.0020) Atomic and molecular physics : Atomic and molecular physics
(280.3340) Remote sensing and sensors : Laser Doppler velocimetry
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Atomic and Molecular Physics

History
Original Manuscript: March 18, 2011
Revised Manuscript: April 19, 2011
Manuscript Accepted: May 3, 2011
Published: May 10, 2011

Citation
M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, "Phase-coherent detection of an optical dipole force by Doppler velocimetry," Opt. Express 19, 10304-10316 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-11-10304


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References

  1. Q. A. Turchette, C. S. Wood, B. E. King, C. J. Myatt, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Deterministic entanglement of two ions,” Phys. Rev. Lett. 81, 3631–3634 (1998).
  2. C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000). [PubMed]
  3. H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Guhne, W. Dur, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005). [PubMed]
  4. R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006). [PubMed]
  5. R. Blatt and D. J. Wineland, “Entangled states of trapped atomic ions,” Nature 453, 1008–1014 (2008). [PubMed]
  6. S. Olmschenk, D. N. Matsukevich, P. Maunz, D. Hayes, L.-M. Duan, and C. Monroe, “Quantum teleportation between distant matter qubits,” Science 323, 486–489 (2009). [PubMed]
  7. D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. Meekhof, “Experimental issues in coherent quantum-state manipulation of trapped atomic ions,” J. Res. Natl. Inst. Stand. Technol. 103, 259–328 (1998).
  8. M. J. Biercuk, H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger, “High-fidelity quantum control using ion crystals in a Penning trap,” Quantum Inf. Comput. 9, 920–949 (2009).
  9. W. C. Campbell, J. Mizrahi, Q. Quraihi, C. Senko, D. Hayes, D. N. Matsukevich, P. Maunz, and C. Monroe, “Ultrafast gates for single atomic qubits,” Phys. Rev. Lett. 105, 090502 (2010). [PubMed]
  10. C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, “Demonstration of a fundamental quantum logic gate,” Phys. Rev. Lett. 75, 4714–4717 (1995). [PubMed]
  11. F. Schmidt-Kaler, H. Haffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003). [PubMed]
  12. D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Experimental demonstration of a robust high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003). [PubMed]
  13. K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
  14. P. O. Schmidt, T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, “Spectroscopy using quantum logic,” Science. 309, 749–752 (2005). [PubMed]
  15. D. J. Wineland, C. Monroe, W. M. Itano, B. E. King, D. Leibfried, C. J. Myatt, and C. S. Wood, “Trapped-ion quantum simulator,” Phys. Scr. T76, 147–151 (1998).
  16. D. Leibfried, B. DeMarco, V. Meyer, M. Rowe, A. Ben-Kish, J. Britton, W. M. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, “Trapped-ion quantum simulator: experimental application to nonlinear interferometers,” Phys. Rev. Lett. 89, 247901 (2002). [PubMed]
  17. R. Gerritsma, G. Kirchmair, F. Zahringer, E. Solano, R. Blatt, and C. F. Roos, “Quantum simulation of the Dirac equation,” Nature 463, 68–71 (2010). [PubMed]
  18. K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E. E. Edwards, J. K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, “Quantum simulation of frustrated Ising spins with trapped ions,” Nature 465, 590–593 (2010). [PubMed]
  19. D. Porras, D. Marquardt, J. von Delft, and J. J. Cirac, “Mesoscopic spin-boson models of trapped ions,” Phys. Rev. A 78, 010101 (2008).
  20. K. Kim, M.-S. Chang, R. Islam, S. Korenblit, L.-M. Duan, and C. Monroe, “Entanglement and tunable spin-spin couplings between trapped ions using multiple transverse modes,” Phys. Rev. Lett. 103, 120502 (2009). [PubMed]
  21. B. King, C. Myatt, Q. A. Turchette, D. Leibfried, W. M. Itano, C. Monroe, and D. J. Wineland, “Cooling the collective motion of trapped ions to initialize a quantum register,” Phys. Rev. Lett. 81, 1525–1528 (1998).
  22. H. C. Nagerl, W. Bechter, J. Eschner, F. Schmidt-Kaler, and R. Blatt, “Ion strings for quantum gates,” Appl. Phys. B 66, 603–608 (1998).
  23. T. B. Mitchell, J. J. Bollinger, D. H. E. Dubin, X.-P. Huang, W. M. Itano, and R. H. Baughman, “Direct observations of structural phase transitions in planar crystallized ion plasmas,” Science 282, 1290–1293 (1998). [PubMed]
  24. J. J. Bollinger, T. B. Mitchell, X.-P. Huang, W. M. Itano, J. N. Tan, B. M. Jelenkovic, and D. J. Wineland, “Crystalline order in laser-cooled, nonneutral ion plasmas,” Phys. Plasmas 7, 7–13 (2000).
  25. T. B. Mitchell, J. J. Bollinger, X.-P. Huang, and W. M. Itano, “Doppler imaging of plasma modes in a Penning trap,” Opt. Express 2, 314–322 (1998). [PubMed]
  26. D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, “Minimization of ion micromotion in a Paul trap,” J. Appl. Phys. 83, 5025–5033 (1998).
  27. M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, “Ultrasensitive detection of force and displacement using trapped ions,” Nat. Nanotechnol. 5, 646–650 (2010). [PubMed]
  28. J. J. Bollinger and D. J. Wineland, “Strongly coupled nonneutral ion plasma,” Phys. Rev. Lett. 53, 348–351 (1984).
  29. L. R. Brewer, J. D. Prestage, J. J. Bollinger, W. M. Itano, D. J. Larson, and D. J. Wineland, “Static properties of a non-neutral 9Be+ ion plasma,” Phys. Rev. A 38, 859–873 (1988). [PubMed]
  30. M. J. Jensen, T. Hasegawa, and J. J. Bollinger, “Temperature and heating rate of ion crystals in Penning traps,” Phys. Rev. A 70, 033401 (2004).
  31. M. J. Jensen, T. Hasegawa, J. J. Bollinger, and D. H. E. Dubin, “Rapid heating of a strongly coupled plasma near the solid-liquid phase transition,” Phys. Rev. Lett. 94, 025001 (2005). [PubMed]
  32. W. M. Itano, J. J. Bollinger, J. N. Tan, B. Jelenković, X.-P. Huang, and D. J. Wineland, “Bragg diffraction from crystallized ion plasmas,” Science 279, 686–689 (1998). [PubMed]
  33. X.-P. Huang, J. J. Bollinger, T. B. Mitchell, and W. M. Itano, “Phase-locked rotation of crystallized non-neutral plasmas by rotating electric fields,” Phys. Rev. Lett. 80, 73–76 (1998).
  34. X.-P. Huang, J. J. Bollinger, T. B. Mitchell, W. M. Itano, and D. H. E. Dubin, “Precise control of the global rotation of strongly coupled ion plasmas in a Penning trap,” Phys. Plasmas 5, 1656–1663 (1998).
  35. J. J. Bollinger, D. J. Wineland, and D. H. E. Dubin, “Non-neutral ion plasmas and crystals, laser cooling, and atomic clocks,” Phys. Plasmas 1, 1403–1414 (1994).

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