Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots
arXiv:1210.7121 · doi:10.1103/PhysRevLett.110.040405
Abstract
Using the Algebraic Bethe Ansatz in conjunction with a simple Monte Carlo sampling technique, we study the problem of the decoherence of a central spin coupled to a nuclear spin bath. We describe in detail the full crossover from strong to weak external magnetic field field, a limit where a large non-decaying coherence factor is found. This feature is explained by Bose-Einstein-condensate-like physics which also allows us to argue that the corresponding zero frequency peak would not be broadened by statistical or ensemble averaging.
5 pages, 4 figures, published version
References in corpus (14)
- Driven coherent oscillations of a single electron spin in a quantum dot
- Electrically driven single electron spin resonance in a slanting Zeeman field
- Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
- Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
- Spin-echo of a single electron spin in a quantum dot
- Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
- Exact dynamics in the inhomogeneous central-spin model
- Gaudin models solver based on the Bethe ansatz/ordinary differential equations correspondence
- Nonperturbative master equation solution of central spin dephasing dynamics
- Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
- Exponential decay in a spin bath
- Dynamics and decoherence in the central spin model using exact methods
- On the determinant representations of Gaudin models' scalar products and form factors
- Spin echo decay at low magnetic fields in a nuclear spin bath