Optimization of segmented linear Paul traps and transport of stored particles

Fortschritte der Physik

Volumn 54, Issue 8-10, 2006, Pages 648-665

  Schulz, Stephan ^a   Poschinger, Ulrich ^a   Singer, Kilian ^a   Schmidt Kaler, Ferdinand ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

Control theory; Quantum computation; Segmented ion trap

Indexed keywords

EID: 33748565609     PISSN: 00158208     EISSN: 15213978     Source Type: Journal    
DOI: 10.1002/prop.200610324     Document Type: Article

References (57)

1. The roadmaps of US and EU are found at http://qist.lanl.gov/ and http://qist.ect.it/.
2. F. Schmidt-Kaler, H. Häffner M. Riebe, S. Guide, G. P. T. Lancaster, T. Deuschle, C. Becher, C.F. Roos, J. Eschner, and R. Blatt, Nature 422, 408 (2003).
3. 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, Nature 422, 412 (2003).
4. C.F. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G.P.T. Lancaster, C. Becher, F. Schmidt-Kaler, and R. Blatt, Science 304, 1478 (2004).
5. H. Häffner, F. Schmidt-Kaler, W. Hänsel, C.F. Roos, T. Kröber, M. Chwalla, M. Riebe, J. Benhelm, U. D. Rapol, C. Becher, and R. Blatt, Appl. Phys. B 81, 151 (2005).
6. C. Langer, R. Ozeri, J. D. Jost, J. Chiaverini, B. DeMarco, A. Ben-Kish, R. B. Blakestad, J. Britton, D. B. Hume, W.M. Itano, D. Leibfried, R. Reichle, T. Rosenband, T. Schaetz, P.O. Schmidt, and D. J. Wineland, Phys. Rev. Lett. 95, 060502 (2005).
7. M. Riebe, H. Häffner, C. F. Roos, W. Hänsel, J. Benhelm, G. P. T. Lancaster, T. W. Körber, C. Becher, F. Schmidt-Kaler, D. F. V. James, and R. Blatt, Nature 429, 734 (2004).
8. M. D. Barrett, J. Chiaverini, T. Schaetz, J. Britton, W. M. Itano, J.D. Jost, E. Knill, C. Langer, D. Leibfried, R. Ozeri, and D. J. Wineland, Nature 429, 737 (2004).
9. 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, Nature 404, 256 (2000).
10. P.C. Haljan, K.-A. Brickman, L. Deslauriers, P. J. Lee, and C. Monroe, Phys. Rev. Lett. 94, 153602 (2005).
11. D. Leibfried, M.D. Barrett, T. Schätz, J. Britton, J. Chiaverini, W.M. Itano, J.D. Jost, C. Langer, and D. J. Wineland, Science 304, 1476 (2004).
12. D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, R. Reichle, and D. J. Wineland, Nature 438, 639 (2005).
13. H. Häffher, W. Hänsel, C.F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U.D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, Nature 438, 643 (2005).
14. D. Kielpinski, C. R. Monroe, and D. J. Wineland, Nature 417, 709 (2002).
15. I. Chuang, private communication.
16. M.A. Rowe, A. Ben-Kish, B. DeMarco, D. Leibfried, V. Meyer, J. Beall, J. Britton, J. Hughes, WM. Itano, B. Jelenkovic, C. Langer, T. Rosenband, and D. J. Wineland, Quantum Inf. Comput. 2, 257 (2002).
17. M. Barrett, B.L. DeMarco, T. Schätz, V. Meyer, D. Leibfried, J. Britton, J. Chiaverini, W.M. Itano, B.M. Jelenkovic, J.D. Jost, C. Langer, T. Rosenband, and D. J. Wineland, Phys. Rev. A 68, 042302 (2003).
18. M. Drewsen, A. Mortensen, R. Martinussen, P. Staanum, and J. L. Soerensen, Phys. Rev. Lett. 93, 243201 (2004).
19. D. Leibfried and T. Schätz, Phys. J. 3, 23 (2004).
20. D. Stick, W. K. Hensinger, S. Olmschenk, M.J. Madsen, K. Schwab, and C. Monroe, Nature Physics 2, 36 (2006).
21. J. Chiaverini, R.B. Blakestad, J. Britton, J.D. Jost, C. Langer, D. Leibfried, R. Ozeri, and D.J. Wineland, arXiv:quant-ph/0501147 and Quant. Inf. Comput. 5(6), 419 (2005).
22. M. J. Madsen, W. K. Hensinger, D. Stick, J. A. Rabchuk, and C. Monroe, Appl. Phys. B 78, 639 (2004).
23. C. E. Pearson, D. R. Leibrandt, W. S. Bakr, W. J. Mallard, K. R. Brown, and I. L. Chuang, Phys. Rev. A 73, 032307 (2006), arXiv:quant-ph/0511018.
24. S. Seidelin, J. Chiaverini, R. Reichle, J.J. Bollinger, D. Leibfried, J. Britton, J.H. Wesenberg, R.B. Blakestad, R. J. Epstein, D. B. Hume, J. D. Jost, C. Langer, R. Ozeri, N. Shiga, D. J. Wineland, arXiv:quant-ph/0601173.
25. H. Mabuchi, N. Khaneja, Int. J. Robust Nonlinear Control 15, 647 (2005).
26. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995).
27. D.J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B.E. King, and D.M. Meekhof, J. Res. Nat. Inst. Stand. Tech. 103, 259 (1998).
28. W. K. Hensinger, S. Olmschenk, D. Stick, D. Hucul, M. Yeo, M. Acton, L. Deslauriers, C. Monroe, and J. Rabchuk, App. Phys. Lett. 88, 034101 (2006).
29. B. N. Chichkov, C. Momma, S. Nolte, F. vonAlvensleben, and A. Tünnermann, Appl. Phys. A 63, 109 (1996).
30. A. Mortensen, F. Nielsen, T. Matthey, and M. Drewsen, Phys. Rev. Lett. 96, 103001 (2006).
31. R. Alheit, Th. Gudjons, S. Kleineidam, and G. Werth, Rapid Rapid Commun. Mass Spectrom. 10, 583 (1996).
32. J. Eschner, G. Morigi, F. Schmidt-Kaler, and R. Blatt, J. Opt. Soc. Am. B 20, 1003 (2003).
33. U. Poschinger et al., in preparation.
34. J. P. Home and A. M. Steane, arXiv:quant-ph/0411102.
35. W. Paul, Q. Osberghaus, and E. Fischer, Forschungsberichte des Wirtschafts- und Verkehrsministeriums Nordrhein-Westfalen, Vol. 415 (1958).
36. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Rev. Mod. Phys. 75, 281 (2003).
37. rf is applied also to the DC electrodes with opposite phase (see Fig. 1).
38. F. Schmidt-Kaler, H. Häffner, S. Gulde, M. Riebe, G. P. T. Lancaster, T. Deuschle, C. Becher, W. Hansel, J. Eschner, C.F. Roos, and R. Blatt, Appl. Phys. 77, 789 (2003).
39. W.K. Hensinger, S. Olmschenk, D. Stick, D. Hucul, M. Yeo, M. Acton, L. Deslauriers, J. Rabchuk, and C. Monroe, Appl. Phys. Lett. 88, 034101 (2006).
40. D. Stick, W.K. Hensinger, S. Olmschenk, M.J. Madsen, K. Schwab, and C. Monroe, Nature Physics 2, 36 (2006).
41. T. Calarco, U. Dorner, P. S. Julienne, C. J. Williams, P. Zoller, Phys. Rev. A 70, 012306 (2004).
42. U. Dorner, T. Calarco, P. Zoller, A. Browaeys, and P. Grangier, J. Opt. B 7, 341 (2005).
43. D. Kirk, Optimal Control Theory - An Introduction (Dover Publications, Mineda, New York, 2004).
44. D. J. Tannor, Introduction to Quantum Mechanics: A Time-dependent Perspective (University Science Books, Sausalito, 2006).
45. S. E. Sklarz and D. J. Tannor, Phys. Rev. A 66, 053619 (2002).
46. R. Kosloff, J. Phys. Chem. 92, 2087 (1988).
47. B.M. Garraway, J. Phys. B 33, 4447 (2000)
48. T.E. Skinner, T.O. Reiss, B. Luy, N. Khaneja, and S.J. Glaser, J. Magn. Reson. 172, 17 (2005).
49. J. J. García-Ripoll, P. Zoller, and J.I. Cirac, Phys. Rev. Lett. 91, 157901 (2003).
50. C. Rangan, A.M. Bloch, C. Monroe, and P.H. Bucksbaum, Phys. Rev. Lett. 92, 113004 (2004).
51. Ch. Roos, Th. Zeiger, H. Rohde, H.C. Nägerl, J. Eschner, D. Leibfried, F. Schmidt-Kaler, and R. Blatt, Phys. Rev. Lett. 83, 4713 (1999).
52. C. Pozrikidis, A Practical Guide to Boundary Element Methods (Chapman & Hall/CRC, Boca Raton, London, New York, Washington D.C., 2002).
53. B. Brkić, S. Taylor, J.F. Ralph, and N. France, Phys. Rev. A 73, 012326 (2006).
54. D. Cubric, B. Lencova, F.H. Read, and J. Zlamal, Nucl. Instr. Meth. Phys. Res. A 427, 357 (1999).
55. URL: http://www.uni-uhn.de/qiv/staff/ksinger/bem.
56. CPO program, available at www.electronoptics.com.
57. FEMLAB program, available at www.femlab.com.