Dynamics and decoherence in the central spin model using exact methods
arXiv:1005.0001 · doi:10.1103/PhysRevB.82.161308
Abstract
The dynamics and decoherence of an electronic spin-1/2 qubit coupled to a bath of nuclear spins via hyperfine interactions in a quantum dot is studied. We show how exact results from the integrable solution can be used to understand the dynamic behavior of the qubit. It is possible to predict the main frequency contributions and their broadening for relatively general initial states analytically, leading to an estimate of the corresponding decay times. Furthermore, for a small bath polarization, a new low-frequency time scale is observed.
4 pages, 2 figures. Published version. See also http://www.physik.uni-kl.de/eggert/papers/index.html
References in corpus (7)
- Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
- Exact dynamics in the inhomogeneous central-spin model
- Quantum quenches from integrability: the fermionic pairing model
- Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
- Spin- and entanglement-dynamics in the central spin model with homogeneous couplings
- Quantum versus classical hyperfine-induced dynamics in a quantum dot
- Exactly solvable spin dynamics of an electron coupled to large number of nuclei and the electron-nuclear spin echo in a quantum dot