Analytical solution of the time evolution of an entangled electron spin pair in a double quantum dot nanostructure

Journal of Mathematical Physics

Volumn 46, Issue 8, 2005, Pages

  Blaauboer, M ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

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EID: 24344445495     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2007629     Document Type: Article

References (22)

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4. Reference, Chap..
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6. H.-A. Engel and D. Loss, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett. 86.4648 86, 4648 (2001); H.-A. Engel and D. Loss, Phys. Rev. B 0163-1829 10.1103/PhysRevB.65.195321 65, 195321 (2002); S. A. Gurvitz, L. Fedichkin, D. Mozyrsky, and J. P. Berman, Phys. Rev. Lett. 91, 066801 (2003), and references therein.
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10. Condensed-matter systems such as the one considered here are particularly strongly affected by decoherence due to the strong interaction between the system and its environment. But, decoherence and dissipation are also relevant for other quantum systems which may serve as qubits, such as cold atoms [see, e.g., C. F. Roos, G. P. T. Lancaster, M. Riebe, H. Häffner, W. Hänsel, S. Gulde, C. Becher, J. Eschner, F. Schmidt-Kaler, and R. Blatt, Phys. Rev. Lett. 92, 220402 (2004)].
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13. Controlling the number of electrons in a lateral quantum dot down to one or zero has recently been achieved; see M. Ciorga, A. S. Sachrajda, P. Hawrylak, C. Gould, P. Zawadzki, S. Jullian, Y. Feng, and Z. Wasilewski, Phys. Rev. B 0163-1829 10.1103/PhysRevB.61.R16315 61, R16315 (2000); J. M. Elzerman, R. Hanson, J. S. Greidanus, L. H. Willems van Beveren, S. De Franceschi, L. M. K. Vandersypen, S. Tarucha, and L. P. Kouwenhoven, Phys. Rev. B 0163-1829 10.1103/PhysRevB.67.161308 67, 161308 (2003); R. M. Potok, J. A. Folk, C. M. Marcus, V. Umansky, M. Hanson, and A. C. Gossard, Phys. Rev. Lett. 91, 016802 (2003).
14. Controlling the number of electrons in a lateral quantum dot down to one or zero has recently been achieved; see M. Ciorga, A. S. Sachrajda, P. Hawrylak, C. Gould, P. Zawadzki, S. Jullian, Y. Feng, and Z. Wasilewski, Phys. Rev. B 0163-1829 10.1103/PhysRevB.61.R16315 61, R16315 (2000); J. M. Elzerman, R. Hanson, J. S. Greidanus, L. H. Willems van Beveren, S. De Franceschi, L. M. K. Vandersypen, S. Tarucha, and L. P. Kouwenhoven, Phys. Rev. B 0163-1829 10.1103/PhysRevB.67.161308 67, 161308 (2003); R. M. Potok, J. A. Folk, C. M. Marcus, V. Umansky, M. Hanson, and A. C. Gossard, Phys. Rev. Lett. 91, 016802 (2003).
15. Controlling the number of electrons in a lateral quantum dot down to one or zero has recently been achieved; see M. Ciorga, A. S. Sachrajda, P. Hawrylak, C. Gould, P. Zawadzki, S. Jullian, Y. Feng, and Z. Wasilewski, Phys. Rev. B 0163-1829 10.1103/PhysRevB.61.R16315 61, R16315 (2000); J. M. Elzerman, R. Hanson, J. S. Greidanus, L. H. Willems van Beveren, S. De Franceschi, L. M. K. Vandersypen, S. Tarucha, and L. P. Kouwenhoven, Phys. Rev. B 0163-1829 10.1103/PhysRevB.67.161308 67, 161308 (2003); R. M. Potok, J. A. Folk, C. M. Marcus, V. Umansky, M. Hanson, and A. C. Gossard, Phys. Rev. Lett. 91, 016802 (2003).
16. Up to parallel magnetic fields of at least 12 T the singlet state is the ground state of a doubly occupied quantum dot; see R. Hanson, L. M. K. Vandersypen, L. H. Willems van Beveren, J. M. Elzerman, I. T. Vink, and L. P. Kouwenhoven, Phys. Rev. B 70, 241304 (2004).
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19. See Sec. II C in H. A. Engel and D. Loss, Phys. Rev. B 65, 195321 (2002).
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