Inhomogeneous nuclear spin flips: Feedback mechanism between electronic states in a double quantum dot and the underlying nuclear spin bath

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 4, 2010, Pages

  Stopa, M ^a   Krich, J J ^a   Yacoby, A ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

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Indexed keywords

EID: 77954827377     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.041304     Document Type: Article

References (26)

1. A. C. Johnson, J. R. Petta, J. M. Taylor, A. Yacoby, M. D. Lukin, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Nature (London) 435, 925 (2005). 10.1038/nature03815
2. K. Ono and S. Tarucha, Phys. Rev. Lett. 92, 256803 (2004). 10.1103/PhysRevLett.92.256803
3. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998). 10.1103/PhysRevA.57.120
4. W. M. Witzel and S. Das Sarma, Phys. Rev. B 74, 035322 (2006). 10.1103/PhysRevB.74.035322
5. See, for example, L. M. K. Vandersypen and I. L. Chuang, Rev. Mod. Phys. 76, 1037 (2005), and references therein. 10.1103/RevModPhys.76.1037
6. R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen, Rev. Mod. Phys. 79, 1217 (2007). 10.1103/RevModPhys.79.1217
7. K. Ono, D. G. Austing, Y. Tokura, and S. Tarucha, Science 297, 1313 (2002). 10.1126/science.1070958
8. D. J. Reilly, J. M. Taylor, J. R. Petta, C. M. Marcus, M. P. Hanson, and A. C. Gossard, Science 321, 817 (2008). 10.1126/science.1159221
9. S. Foletti, H. Bluhm, D. Mahalu, V. Umansky, and A. Yacoby, Nat. Phys. 5, 903 (2009). 10.1038/nphys1424
10. G. Ramon and X. Hu, Phys. Rev. B 75, 161301 (R) (2007). 10.1103/PhysRevB.75.161301
11. H. Ribeiro and G. Burkard, Phys. Rev. Lett. 102, 216802 (2009). 10.1103/PhysRevLett.102.216802
12. D. Paget, G. Lampel, B. Sapoval, and V. I. Safarov, Phys. Rev. B 15, 5780 (1977). 10.1103/PhysRevB.15.5780
13. G. Burkard, D. Loss, and D. P. DiVincenzo, Phys. Rev. B 59, 2070 (1999). 10.1103/PhysRevB.59.2070
14. D. P. Mattis, in Theory of Magnetism, Springer Series in Solid-State Sciences No. 17 (Springer, New York, 1988), Vol. I, Sec. 4.5.
15. 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 309, 2180 (2005). 10.1126/science.1116955
16. More traditionally, the linear combinations S (1, 1) ≡ [|L ↑ R ↓ 〉 - | L ↓ R ↑ 〉] / √ 2 and T 0 (1, 1) ≡ [| L ↑ R ↓ 〉 + | L ↓ R ↑ 〉] / √ 2, are employed.
17. J. M. Taylor, J. R. Petta, A. C. Johnson, A. Yacoby, C. M. Marcus, and M. D. Lukin, Phys. Rev. B 76, 035315 (2007). 10.1103/PhysRevB.76.035315
18. 2).
19. m- ] /2.
20. The phonon effect is particularly important when the hyperfine coupling does not conserve energy: J. Iñarrea, G. Platero, and A. H. MacDonald, Phys. Rev. B 76, 085329 (2007) 10.1103/PhysRevB.76.085329
21. M. S. Rudner and L. S. Levitov, Phys. Rev. Lett. 99, 036602 (2007). 10.1103/PhysRevLett.99.036602
22. R. H. Dicke, Phys. Rev. 93, 99 (1954). 10.1103/PhysRev.93.99
23. Electronic structure calculations show [Stopa (unpublished)] that V x can range from 250, μ eV to less than 1, μ eV.
24. M. Gullans, J. J. Krich, J. M. Taylor, B. I. Halperin, C. M. Marcus, M. Stopa, A. Yacoby, and M. D. Lukin (unpublished).
25. We assume M ∼ 10 6 nuclei in each dot leading to an average spin ∼ √ M ∼ 1000.
26. W. Yao, arXiv:0905.2460 (unpublished).