Interplay of charge and spin coherence in Landau-Zener-Stückelberg- Majorana interferometry

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 23, 2013, Pages

  Ribeiro, Hugo ^a   Petta, J R ^b,c   Burkard, Guido ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

^b PRINCETON UNIVERSITY   (United States)

^c Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84879856641     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.235318     Document Type: Article

References (73)

1. D. Loss and D. P. DiVincenzo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.120 57, 120 (1998).
2. R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.79.1217 79, 1217 (2007). (Pubitemid 47534150)
3. K. Ono, D. G. Austing, Y. Tokura, and S. Tarucha, Science SCIEAS 0036-8075 10.1126/science.1070958 297, 1313 (2002). (Pubitemid 34918615)
4. M. Elzerman, R. Hanson, L. H. Willems van Beveren, B. Witkamp, L. M. K. Vandersypen, and L. P. Kouwenhoven, Nature (London) NATUAS 0028-0836 10.1038/nature02693 430, 431 (2004). (Pubitemid 38987899)
5. 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). (Pubitemid 41396061)
6. F. H. L. Koppens, C. Buizert, K. J. Tielrooij, I. T. Vink, K. C. Nowack, T. Meunier, L. P. Kouwenhoven, and L. M. K. Vandersypen, Nature (London) NATUAS 0028-0836 10.1038/nature05065 442, 766 (2006). (Pubitemid 44261899)
7. K. C. Nowack, F. H. L. Koppens, Yu. V. Nazarov, and L. M. K. Vandersypen, Science SCIEAS 0036-8075 10.1126/science.1148092 318, 1430 (2007). (Pubitemid 350208949)
8. W. A. Coish and D. Loss, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.125337 72, 125337 (2005). (Pubitemid 43028894)
9. J. M. Taylor, J. R. Petta, A. C. Johnson, A. Yacoby, C. M. Marcus, and M. D. Lukin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.035315 76, 035315 (2007).
10. S. Nadj-Perge, S. M. Frolov, E. P. A. M. Bakkers, and L. P. Kouwenhoven, Nature (London) NATUAS 0028-0836 10.1038/nature09682 468, 1084 (2010).
11. J. Levy, Phys. Rev. Lett. 10.1103/PhysRevLett.89.147902 89, 147902 (2002).
12. I. van Weperen, B. D. Armstrong, E. A. Laird, J. Medford, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.030506 107, 030506 (2011).
13. M. D. Shulman, O. E. Dial, S. P. Harvey, H. Bluhm, V. Umansky, and A. Yacoby, Science SCIEAS 0036-8075 10.1126/science.1217692 336, 202 (2012).
14. S. Foletti, H. Bluhm, D. Mahalu, V. Umansky, and A. Yacoby, Nat. Phys. 1745-2473 10.1038/nphys1424 5, 903 (2009).
15. A. V. Khaetskii, D. Loss, and L. Glazman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.186802 88, 186802 (2002).
16. J. R. Petta, H. Lu, and A. C. Gossard, Science SCIEAS 0036-8075 10.1126/science.1183628 327, 669 (2010).
17. H. Ribeiro, J. R. Petta, and G. Burkard, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.115445 82, 115445 (2010).
18. H. Ribeiro, G. Burkard, J. R. Petta, H. Lu, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.086804 110, 086804 (2013).
19. L. D. Landau, Phys. Z. Sowjetunion 2, 46 (1932).
20. C. Zener, Proc. R. Soc. A 1364-5021 10.1098/rspa.1932.0165 137, 696 (1932).
21. E. C. G. Stückelberg, Helv. Phys. Acta 5, 369 (1932).
22. E. Majorana, Nuovo Cimento NUCIAD 0029-6341 10.1007/BF02960953 9, 43 (1932).
23. S. N. Shevchenko, S. Ashhab, and F. Nori, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2010.03.002 492, 1 (2010).
24. W. D. Oliver, Y. Yu, J. C. Lee, K. K. Berggren, L. S. Levitov, and T. P. Orlando, Science SCIEAS 0036-8075 10.1126/science.1119678 310, 1653 (2005). (Pubitemid 41780782)
25. T. Calarco, A. Datta, P. Fedichev, E. Pazy, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.012310 68, 012310 (2003).
26. E. M. Gauger, S. C. Benjamin, A. Nazir, and B. W. Lovett, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.115322 77, 115322 (2008).
27. J. H. Cole, A. D. Greentree, L. C. L. Hollenberg, and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.235418 77, 235418 (2008).
28. T. Hayashi, T. Fujisawa, H. D. Cheong, Y. H. Jeong, and Y. Hirayama, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.226804 91, 226804 (2003).
29. J. R. Petta, A. C. Johnson, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.186802 93, 186802 (2004).
30. I. I. Rabi, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.51.652 51, 652 (1937).
31. R. Hanson and D. D. Awschalom, Nature (London) NATUAS 0028-0836 10.1038/nature07129 453, 1043 (2008). (Pubitemid 351871747)
32. A. Abragam, Principles of Nuclear Magnetism (Oxford University Press, New York, 1961).
33. N. Rosen and C. Zener, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.40.502 40, 502 (1932).
34. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987).
35. F. T. Hioe, Phys. Rev. A 1050-2947 10.1103/PhysRevA.30.2100 30, 2100 (1984).
36. A. Bambini and P. R. Berman, Phys. Rev. A 1050-2947 10.1103/PhysRevA.23. 2496 23, 2496 (1981).
37. Y. N. Demkov and M. Kunike, Vestn. Leningr. Univ., Ser. Fiz. Khim. 16, 39 (1969).
38. F. T. Hioe and C. E. Carroll, Phys. Rev. A 1050-2947 10.1103/PhysRevA.32. 1541 32, 1541 (1985).
39. J. Zakrzewski, Phys. Rev. A 1050-2947 10.1103/PhysRevA.32.3748 32, 3748 (1985).
40. Y. N. Demkov, JETP 45, 195 (1963)
41. Y. N. Demkov, [Soviet. Phys. JETP 18, 138 (1964)].
42. E. E. Nikitin, Opt. Spektrosk. 13, 761 (1962)
43. E. E. Nikitin, [Opt. Spectrosc. USSR 13, 431 (1962)].
44. C. E. Carroll and F. T. Hioe, J. Phys. A: Math. Gen. JPHAC5 0305-4470 10.1088/0305-4470/19/17/022 19, 3579 (1986).
45. N. V. Vitanov and B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.4288 53, 4288 (1996).
46. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), Chap. 6.
47. A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Functions, Vol. II (McGraw-Hill, New York, 1953), Chap. 8.
48. H. Bluhm, S. Foletti, I. Neder, M. Rudner, D. Mahalu, V. Umansky, and A. Yacoby, Nat. Phys. 1745-2473 10.1038/nphys1856 7, 109 (2011).
49. S. A. Studenikin, G. C. Aers, G. Granger, L. Gaudreau, A. Kam, P. Zawadzki, Z. R. Wasilewski, and A. S. Sachrajda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.226802 108, 226802 (2012).
50. R. Hanson, L. M. K. Vandersypen, L. H. Willems van Beveren, J. M. Elzerman, I. T. Vink, and L. P. Kouwenhoven, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.241304 70, 241304 (R) (2004). (Pubitemid 40362414)
51. G. Burkard, D. Loss, and D. P. DiVincenzo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.2070 59, 2070 (1999).
52. Y. Kayanuma and S. Fukuchi, J. Phys. B: At., Mol. Opt. Phys. JPAMA4 0022-3700 10.1088/0022-3700/18/20/012 18, 4089 (1985).
53. T. Usuki, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.56.13360 56, 13360 (1997).
54. J. Särkkä and A. Harju, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/13/4/043010 13, 043010 (2011).
55. H. Ribeiro and G. Burkard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.216802 102, 216802 (2009).
56. V. A. Abalmassov and F. Marquardt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.075313 70, 075313 (2004).
57. X. Hu and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100501 96, 100501 (2006).
58. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
59. H. P. Breuer and F. Petruccione, Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007).
60. A. V. Khaetskii and Y. V. Nazarov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.64.125316 64, 125316 (2001).
61. A. G. Redfield, IBM J. Res. Dev. IBMJAE 0018-8646 10.1147/rd.11.0019 1, 19 (1957).
62. L. Chirolli and G. Burkard, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730802218067 57, 225 (2008).
63. L. DiCarlo, H. J. Lynch, A. C. Johnson, L. I. Childress, K. Crockett, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.226801 92, 226801 (2004).
64. P. Ao and J. Rammer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.3004 62, 3004 (1989).
65. E. Shimshoni and Y. Gefen, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(91)90275-D 210, 16 (1991).
66. M. Wubs, K. Saito, S. Kohler, P. Hänggi, and Y. Kayanuma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.200404 97, 200404 (2006). (Pubitemid 44771861)
67. K. Saito, M. Wubs, S. Kohler, Y. Kayanuma, and P. Hänggi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.214308 75, 214308 (2007).
68. P. Nalbach and M. Thorwart, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.220401 103, 220401 (2009).
69. P. P. Orth, A. Imambekov, and K. Le Hur, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.032118 82, 032118 (2010).
70. 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, M. Sokolich, C. A. Watson, M. F. Gyure, and A. T. Hunter, Nature (London) NATUAS 0028-0836 10.1038/nature10707 481, 344 (2012).
71. J. R. Prance, Z. Shi, C. B. Simmons, D. E. Savage, M. G. Lagally, L. R. Schreiber, L. M. K. Vandersypen, M. Friesen, R. Joynt, S. N. Coppersmith, and M. A. Eriksson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.046808 108, 046808 (2012).
72. K. Wang, C. Payette, Y. Dovzhenko, P. W. Deelman, and J. R. Petta, arXiv: 1304.2640 [Phys. Rev. Lett. (to be published)].
73. M. Pioro-Ladrière, T. Obata, Y. Tokura, Y.-S. Shin, T. Kubo, K. Yoshida, T. Taniyama, and S. Tarucha, Nat. Phys. 1745-2473 10.1038/nphys1053 4, 776 (2008).