Abstract
We have studied theoretically the possibility of ultra-fast manipulation of a single electron spin in 2D semiconductor quantum dots, by means of high-frequency time-dependent electric fields. The electron spin degree of freedom is excited through spin-orbit coupling, and the procedure may be enhanced by the presence of a static magnetic field. We use quantum optimal control theory to tailor the temporal profile of the electric field in order to achieve the most effective manipulation. The scheme predicts significant control over spin operations in times of the order of picoseconds – an ultrafast time scale that permits to avoid the effects of decoherence if this scheme is to be used as a tool for quantum information processing.
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L.P. Kouwenhoven, D.G. Austing, S. Tarucha, Rep. Prog. Phys. 64, 701 (2001)
R. Hanson, L.P. Kouwenhoven, J.R. Petta, S. Tarucha, L.M.K. Vandersypen, Rev. Mod. Phys. 79, 1217 (2007)
I. Žutić, J. Fabian, S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004)
D. Loss, D.P. DiVincenzo, Phys. Rev. A 57, 120 (1998)
J.M. Elzerman, R. Hanson, L.H. Willems van Beveren, B. Witkamp, L.M.K. Vandersypen, L.P. Kouwenhoven, Nature 430, 431 (2004)
J.M. Taylor, J.R. Petta, A.C. Johnson, A. Yacoby, C.M. Marcus, M.D. Lukin, Phys. Rev. B 76, 035315 (2007)
D.P. DiVincenzo, Fortschr. Phys. 48, 771 (2000)
K.C. Nowak, F.H.L. Koppens, Yu.V. Nazarov, L.M.K. Vandersypen, Science 318, 1430 (2007)
P. Stano, J. Fabian, Phys. Rev. B 77, 045310 (2008)
D. Press, T.D. Ladd, B. Zhang, Y. Yamamoto, Nature 456, 218 (2008)
Y. Ban, X. Chen, E. Ya Sherman, J.G. Muga, Phys. Rev. Lett. 109, 206602 (2012)
K. De Greeve, D. Press, P.L. McMahon, Y. Yamamoto, Rep. Prog. Phys. 76, 092501 (2013)
J.H. Jiang, M.Q. Weng, M.W. Wu, J. Appl. Phys. 100, 063709 (2006)
C. Brif, R. Chakrabarti, H. Rabitz, New J. Phys. 12, 075008 (2010)
J. Werschnik, E.K.U. Gross, J. Phys. B 40, R175 (2007)
M.A.L. Marques, A. Castro, G.F. Bertsch, A. Rubio, Comp. Phys. Commun. 151, 60 (2003)
A. Castro, H. Appel, M. Oliveira, C.A. Rozzi, X. Andrade, F. Lorenzen, M.A.L. Marques, E.K.U. Gross, A. Rubio, Phys. Stat. Sol. B 243, 2465 (2006)
X. Andrade, J. Alberdi-Rodriguez, D.A. Strubbe, M.J.T. Oliveira, F. Nogueira, A. Castro, J. Muguerza, A. Arruabarrena, S.G. Louie, A. Aspuru-Guzik, A. Rubio, M.A.L. Marques, J. Phys.: Condens. Matter 24, 233202 (2012)
E. Runge, E.K.U. Gross. Phys. Rev. Lett. 52, 997 (1984)
Fundamentals of Time-Dependent Density Functional Theory, edited by M.A.L. Marques, N.T. Maitra, F.M.S. Nogueira, E.K.U. Gross, A. Rubio, Lecture Notes in Physics (Springer, Berlin, Heidelberg, 2012), Vol. 837
E. Räsänen, A. Castro, J. Werschnik, A. Rubio, E.K.U. Gross, Phys. Rev. Lett. 98, 157404 (2007)
E. Räsänen, A. Castro, J. Werschnik, A. Rubio, E.K.U. Gross, Physica E 40, 1593 (2008)
E. Räsänen, A. Castro, J. Werschnik, A. Rubio, E.K.U. Gross, Phys. Rev. B 77, 085324 (2008)
Y.A. Bychkov, E. Rashba, J. Phys. C 17, 6039 (1984)
G. Dresselhaus, Phys. Rev. 100, 580 (1955)
P. Pfeffer, W. Zawadzki, Phys. Rev. B 51, 14332 (1995)
B. Jusserand, D. Richards, G. Allan, C. Priester, B. Etienne, Phys. Rev. B 51, 4707 (1995)
R. Fletcher, Practical Methods of Optimization (Wiley, New York, 2000)
K. Krieger, A. Castro, E.K.U. Gross, Chem. Phys. 391, 50 (2011)
P. Stano, J. Fabian, Phys. Rev. B 72, 155410 (2005)
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Budagosky Marcilla, J.A., Castro, A. Ultrafast single electron spin manipulation in 2D semiconductor quantum dots with optimally controlled time-dependent electric fields through spin-orbit coupling. Eur. Phys. J. B 88, 15 (2015). https://doi.org/10.1140/epjb/e2014-50700-5
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DOI: https://doi.org/10.1140/epjb/e2014-50700-5