Manipulation of single electron spin in a GaAs quantum dot through the application of geometric phases: The Feynman disentangling technique

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 19, 2010, Pages

  Prabhakar, Sanjay ^a,b   Raynolds, James ^a   Inomata, Akira ^a   Melnik, Roderick ^b,c  

^a STATE UNIVERSITY OF NEW YORK   (United States)

^b WILFRID LAURIER UNIVERSITY   (Canada)

^c BCAM BASQUE CENTER FOR APPLIED MATHEMATICS   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78649749742     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.195306     Document Type: Article

References (31)

1. M. V. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984). 10.1098/rspa.1984.0023
2. F. Wilczek and A. Shapere, Geometric Phases in Physics (Wold Scientific, Singapore, 1989).
3. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998) 10.1103/PhysRevA.57.120
4. G. Burkard, D. Loss, and D. P. DiVincenzo, Phys. Rev. B 59, 2070 (1999). 10.1103/PhysRevB.59.2070
5. J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature (London) 403, 869 (2000) 10.1038/35002528
6. G. Falci, R. Fazio, G. M. Palma, J. Siewert, and V. Vedral, Nature (London) 407, 355 (2000). 10.1038/35030052
7. X. Hu and S. Das Sarma, Phys. Rev. A 61, 062301 (2000). 10.1103/PhysRevA.61.062301
8. P. San-Jose, G. Zarand, A. Shnirman, and G. Schön, Phys. Rev. Lett. 97, 076803 (2006) 10.1103/PhysRevLett.97.076803
9. P. San-Jose, G. Schön, A. Shnirman, and G. Zarand, Physica E 40, 76 (2007) 10.1016/j.physe.2007.05.027
10. P. San-Jose, B. Scharfenberger, G. Schön, A. Shnirman, and G. Zarand, Phys. Rev. B 77, 045305 (2008). 10.1103/PhysRevB.77.045305
11. H. Wang and K.-D. Zhu, EPL 82, 60006 (2008). 10.1209/0295-5075/82/60006
12. R. P. Feynman, Phys. Rev. 84, 108 (1951). 10.1103/PhysRev.84.108
13. V. S. Popov, J. Exptl. Theoret. Phys. (U.S.S.R.) 35, 985 (1958)
14. V. S. Popov, Sov. Phys. JETP 35, 687 (1959).
15. Y. A. Bychkov and E. I. Rashba, J. Phys. C 17, 6039 (1984). 10.1088/0022-3719/17/33/015
16. G. Dresselhaus, Phys. Rev. 100, 580 (1955). 10.1103/PhysRev.100.580
17. W. T. Reid, Riccati Differential Equations (Academic Press, New York, 1972).
18. S. Prabhakar, J. E. Raynolds, and A. Inomata, Proc. SPIE 7702, 77020V (2010). 10.1117/12.856025
19. R. de Sousa and S. Das Sarma, Phys. Rev. B 68, 155330 (2003). 10.1103/PhysRevB.68.155330
20. S. Prabhakar and J. E. Raynolds, Phys. Rev. B 79, 195307 (2009). 10.1103/PhysRevB.79.195307
21. F. Wilczek and A. Zee, Phys. Rev. Lett. 52, 2111 (1984). 10.1103/PhysRevLett.52.2111
22. M. Pletyukhov and O. Zaitsev, J. Phys. A 36, 5181 (2003) 10.1088/0305-4470/36/19/303
23. O. Zaitsev, D. Frustaglia, and K. Richter, Phys. Rev. B 72, 155325 (2005). 10.1103/PhysRevB.72.155325
24. V. S. Popov, Phys. Usp. 50, 1217 (2007). 10.1070/PU2007v050n12ABEH006401
25. A. Inomata, H. Kuratsuji, and C. C. Gerry, Path Integrals and Coherent States of S U (2) and S U (1, 1) (World Scientific, Singapore, 1992).
26. I. L. Aleiner and V. I. Fal'ko, Phys. Rev. Lett. 87, 256801 (2001). 10.1103/PhysRevLett.87.256801
27. S.-H. Chen and C.-R. Chang, Phys. Rev. B 77, 045324 (2008). 10.1103/PhysRevB.77.045324
28. B. A. Bernevig, J. Orenstein, and S.-C. Zhang, Phys. Rev. Lett. 97, 236601 (2006). 10.1103/PhysRevLett.97.236601
29. M.-H. Liu, C.-R. Chang, and S.-H. Chen, Phys. Rev. B 71, 153305 (2005) 10.1103/PhysRevB.71.153305
30. M.-H. Liu, K.-W. Chen, S.-H. Chen, and C.-R. Chang, Phys. Rev. B 74, 235322 (2006). 10.1103/PhysRevB.74.235322
31. J. D. Koralek, C. P. Weber, J. Orenstein, B. A. Bernevig, S.-C. Zhang, S. Mack, and D. D. Awschalom, Nature (London) 458, 610 (2009). 10.1038/nature07871