Analytically solvable two-level quantum systems and Landau-Zener interferometry

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 88, Issue 1, 2013, Pages

  Barnes, Edwin ^a  

^a Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL CONTROL; DINGER EQUATION; EXACT ANALYTICAL SOLUTIONS; EXACT SOLUTION; INTERFERENCE PATTERNS; QUANTUM SYSTEM; SIMPLE ALGORITHM; TUNABLE PARAMETER;

QUANTUM ELECTRONICS; QUANTUM OPTICS; REVERSE ENGINEERING;

INTERFEROMETRY;

EID: 84880637544     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.88.013818     Document Type: Article

References (53)

1. L. Landau, Phys. Z. Sowjetunion 2, 46 (1932).
2. C. Zener, Proc. R. Soc. Lond. A 1364-5021 10.1098/rspa.1932.0165 137, 696 (1932).
3. E. C. G. Stückelberg, Helv. Phys. Acta 5, 369 (1932).
4. E. Majorana, Nuovo Cimento NUCIAD 0029-6341 10.1007/BF02960953 9, 43 (1932).
5. S. Shevchenko, S. Ashhab, and F. Nori, Phys. Rep. 0370-1573 10.1016/j.physrep.2010.03.002 492, 1 (2010).
6. W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.105701 95, 105701 (2005).
7. M. S. Rudner, A. V. Shytov, L. S. Levitov, D. M. Berns, W. D. Oliver, S. O. Valenzuela, and T. P. Orlando, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.190502 101, 190502 (2008).
8. J. R. Petta, H. Lu, and A. C. Gossard, Science SCIEAS 0036-8075 10.1126/science.1183628 327, 669 (2010).
9. H. Ribeiro, J. R. Petta, and G. Burkard, arXiv: 1210.1957.
10. C. M. Quintana, K. D. Petersson, L. W. McFaul, S. J. Srinivasan, A. A. Houck, and J. R. Petta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 110.173603 110, 173603 (2013).
11. J. Zhang, J. H. Shim, I. Niemeyer, T. Taniguchi, T. Teraji, H. Abe, S. Onoda, T. Yamamoto, T. Ohshima, J. Isoya, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.240501 110, 240501 (2013).
12. Y. Wu, I. M. Piper, M. Ediger, P. Brereton, E. R. Schmidgall, P. R. Eastham, M. Hugues, M. Hopkinson, and R. T. Phillips, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.067401 106, 067401 (2011).
13. R. T. Brierley, C. Creatore, P. B. Littlewood, and P. R. Eastham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.043002 109, 043002 (2012).
14. N. Malossi, M. G. Bason, M. Viteau, E. Arimondo, R. Mannella, O. Morsch, and D. Ciampini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.87.012116 87, 012116 (2013).
15. N. Rosen and C. Zener, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.40.502 40, 502 (1932).
16. S. L. McCall and E. L. Hahn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.183.457 183, 457 (1969).
17. S. E. Economou, L. J. Sham, Y. Wu, and D. G. Steel, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.74.205415 74, 205415 (2006).
18. A. Greilich, S. E. Economou, S. Spatzek, D. R. Yakovlev, D. Reuter, A. D. Wieck, T. L. Reinecke, and M. Bayer, Nat. Phys. 1745-2473 10.1038/nphys1226 5, 262 (2009).
19. E. Poem, O. Kenneth, Y. Kodriano, Y. Benny, S. Khatsevich, J. E. Avron, and D. Gershoni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107. 087401 107, 087401 (2011).
20. A. Bambini and P. R. Berman, Phys. Rev. A PLRAAN 0556-2791 10.1103/PhysRevA.23.2496 23, 2496 (1981).
21. A. Bambini and M. Lindberg, Phys. Rev. A PLRAAN 0556-2791 10.1103/PhysRevA.30.794 30, 794 (1984).
22. F. T. Hioe, Phys. Rev. A PLRAAN 0556-2791 10.1103/PhysRevA.30.2100 30, 2100 (1984).
23. J. Zakrzewski, Phys. Rev. A PLRAAN 0556-2791 10.1103/PhysRevA.32.3748 32, 3748 (1985).
24. M. S. Silver, R. I. Joseph, and D. I. Hoult, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.31.2753 31, 2753 (R) (1985).
25. E. J. Robinson, Phys. Rev. A PLRAAN 0556-2791 10.1103/PhysRevA.31.3986 31, 3986 (1985).
26. A. M. Ishkhanyan, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/33/31/309 33, 5539 (2000).
27. L. Carmel and A. Mann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61. 052113 61, 052113 (2000).
28. E. S. Kyoseva and N. V. Vitanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.054102 71, 054102 (2005).
29. N. V. Vitanov, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/3/058 9, 58 (2007).
30. F. T. Hioe, in Advances in Chemical Physics: Lasers, Molecules, and Methods (Wiley, New York, 2007), p. 73.
31. S. E. Economou, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.85.241401 85, 241401 (R) (2012).
32. F. Motzoi, J. M. Gambetta, P. Rebentrost, and F. K. Wilhelm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.110501 103, 110501 (2009).
33. J. M. Chow, L. DiCarlo, J. M. Gambetta, F. Motzoi, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82. 040305 82, 040305 (R) (2010).
34. J. M. Gambetta, F. Motzoi, S. T. Merkel, and F. K. Wilhelm, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.012308 83, 012308 (2011).
35. E. Barnes and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.060401 109, 060401 (2012).
36. J. R. Petta, A. C. Johnson, J. M. Taylor, E. A. Laird, A. Yacoby, M. D. Lukin, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Science SCIEAS 0036-8075 10.1126/science.1116955 309, 2180 (2005).
37. S. Foletti, H. Bluhm, D. Mahalu, V. Umansky, and A. Yacoby, Nat. Phys. 1745-2473 10.1038/nphys1424 5, 903 (2009).
38. B. M. Maune, M. G. Borselli, B. Huang, T. D. Ladd, P. W. Deelman, K. S. Holabird, A. A. Kiselev, I. Alvarado-Rodriguez, R. S. Ross, A. E. Schmitz, Nature NATUAS 0028-0836 10.1038/nature10707 481, 7381 (2012).
39. X. Wang, L. S. Bishop, J. P. Kestner, E. Barnes, K. Sun, and S. Das Sarma, Nat. Commun. 2041-1723 10.1038/ncomms2003 3, 997 (2012).
40. L. Mandelstam and I. Tamm, J. Phys. (USSR) 9, 249 (1945).
41. K. Bhattacharyya, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/16/13/021 16, 2993 (1983).
42. N. Margolus and L. B. Levitin, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00054-2 120, 188 (1998).
43. V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052109 67, 052109 (2003).
44. T. Caneva, M. Murphy, T. Calarco, R. Fazio, S. Montangero, V. Giovannetti, and G. E. Santoro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.240501 103, 240501 (2009).
45. M. G. Bason, M. Viteau, N. Malossi, P. Huillery, E. Arimondo, D. Ciampini, R. Fazio, V. Giovannetti, R. Mannella, and O. Morsch, Nat. Phys. 1745-2473 10.1038/nphys2170 8, 147 (2012).
46. G. C. Hegerfeldt, arXiv: 1305.6403.
47. F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.516 67, 516 (1991).
48. J. Stehlik, Y. Dovzhenko, J. R. Petta, J. R. Johansson, F. Nori, H. Lu, and A. C. Gossard, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.86.121303 86, 121303 (R) (2012).
49. M. V. Berry, Proc. R. Soc. Lond. A 1364-5021 10.1098/rspa.1990.0051 429, 61 (1990).
50. R. Lim and M. Berry, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/24/14/014 24, 3255 (1991).
51. N. V. Vitanov and K.-A. Suominen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4580 59, 4580 (1999).
52. M. V. Berry, J. Phys. A 1751-8113 10.1088/1751-8113/42/36/365303 42, 365303 (2009).
53. A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, arXiv: 1206.1691.