John Schliemann et al 2003 J. Phys.: Condens. Matter 15 R1809 doi:10.1088/0953-8984/15/50/R01
John Schliemann, Alexander Khaetskii and Daniel Loss
Show affiliationsWe review and summarize recent theoretical and experimental work on electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with surrounding nuclear spins. This topic is of particular interest with respect to several proposals for quantum information processing in solid state systems. Specifically, we investigate the hyperfine interaction of an electron spin confined in a quantum dot in an s-type conduction band with the nuclear spins in the dot. This interaction is proportional to the square modulus of the electron wavefunction at the location of each nucleus leading to an inhomogeneous coupling, i.e. nuclei in different locations are coupled with different strengths. In the case of an initially fully polarized nuclear spin system an exact analytical solution for the spin dynamics can be found. For not completely polarized nuclei, approximation-free results can only be obtained numerically in sufficiently small systems. We compare these exact results with findings from several approximation strategies.
Condensed matter: electrical, magnetic and optical
Surfaces, interfaces and thin films
Issue 50 (24 December 2003)
Received 1 September 2003
Published 3 December 2003
John Schliemann et al 2003 J. Phys.: Condens. Matter 15 R1809
J Oberheide et al 1997 Meas. Sci. Technol. 8 351
T A G Eberlein et al 2003 J. Phys.: Condens. Matter 15 S2897
J P Goss et al 2002 J. Phys.: Condens. Matter 14 12843
J P Goss et al 2003 J. Phys.: Condens. Matter 15 S2903
J P Goss et al 2000 J. Phys.: Condens. Matter 12 10257
L L Lumata et al 2008 J. Phys.: Conf. Ser. 132 012014
C Cheng et al 1988 J. Phys. C: Solid State Phys. 21 1049
C Cheng et al 1990 J. Phys.: Condens. Matter 2 5115
Kostas Glampedakis 2005 Class. Quantum Grav. 22 S605