Non-Markovian dynamics of a localized electron spin due to the hyperfine interaction
arXiv:cond-mat/0411690 · doi:10.1007/s10751-005-9039-x
Abstract
We review our theoretical work on the dynamics of a localized electron spin interacting with an environment of nuclear spins. Our perturbative calculation is valid for arbitrary polarization p of the nuclear spin system and arbitrary nuclear spin I in a sufficiently large magnetic field. In general, the electron spin shows rich dynamics, described by a sum of contributions with exponential decay, non-exponential decay, and undamped oscillations. We have found an abrupt crossover in the long-time spin dynamics at a critical shape and dimensionality of the electron envelope wave function. We conclude with a discussion of our proposed scheme to measure the relevant dynamics using a standard spin-echo technique.
arXiv comment8 Kluwer pages, 2 figures. Proceedings of the conference HFI2004 (Bonn, Germany 23-27 August 2004). To appear in Hyperfine Interactions
References in corpus (19)
- Quantum Computation with Quantum Dots
- Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
- Single-shot read-out of an individual electron spin in a quantum dot
- Coupled quantum dots as quantum gates
- Electron spin decoherence in quantum dots due to interaction with nuclei
- Spin relaxation in semiconductor quantum dots
- Phonon-induced decay of the electron spin in quantum dots
- Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
- Long-lived memory for mesoscopic quantum bits
- Electron spin evolution induced by interaction with nuclei in a quantum dot
- Nucleus-mediated spin-flip transitions in GaAs quantum dots
- Hyperfine-mediated transitions between a Zeeman split doublet in GaAs quantum dots: The role of the internal field
- Electron spin coherence in semiconductors: Considerations for a spin-based solid state quantum computer architecture
- Controlling a mesoscopic spin environment by quantum bit manipulation
- Spin decay and quantum parallelism
- Phonon-mediated electron spin phase diffusion in a quantum dot
- Coulomb "blockade" of Nuclear Spin Relaxation in Quantum Dots
- Qubit coherence control in a nuclear spin bath
- Non-Perturbative Bounds on Hyperfine-Induced Electron Spin Coherence Times