Electron spin evolution induced by interaction with nuclei in a quantum dot
By A. Khaetskii, Daniel Loss, L. Glazman. 2002
179 citations recorded by the source corpus.
We study the decoherence of a single electron spin in an isolated quantum dot induced by hyperfine interaction with nuclei for times smaller than the nuclear spin relaxation time. The decay is caused by the spatial variation of the electron envelope wave function within the dot, leading to a non-uniform hyperfine coupling. We show that the usual treatment of the problem based on the Markovian approximation is impossible because the correlation time for the nuclear magnetic field seen by the electron spin is itself determined by the flip-flop processes. The decay of the electron spin correlation function is not exponential but rather power (inverse logarithm) law-like. For polarized nuclei we find an exact solution and show that the precession amplitude and the decay behavior can be tuned by the magnetic field. The decay time is given by hN/A, where N is the number of nuclei inside the dot and A is a hyperfine constant. The amplitude of precession, reached as a result of the decay, is finite. We show that there is a striking difference between the decoherence time for a single dot and the dephasing time for an ensemble of dots.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/ecabbca5ce9a623cc4aab581097d5e89c8c46811
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In Atomic and Molecular Physics, and Optics
- Jason R. Petta
- L. Kouwenhoven
- Ronald Hanson
- Lieven M. K. Vandersypen
- S. Tarucha
- Daniel Loss
- Andrew Dzurak
Citations in the corpus
- Spins in few-electron quantum dots (2006, background): “For the electron spin, this interaction with uncontrolled degrees of freedom in the environment leads to decoherence (Coish and Loss, 2004; Khaetskii et al., 2002, 2003; Merkulov et al., 2002).”
- Spin dynamics in semiconductors (2010, unknown): “Nevertheless, recent developments attacked the problem via the equation of motio n approach [344, 410–413], Green function approach [410, 414, 415] and the quantum cluster expansion approach [ 289, 416–422].”
- Optically programmable electron spin memory using semiconductor quantum dots (2004, background): “However, additional spin relaxation mechanisms (such as that due to hyperfine coupling to the nuclear spi”