Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots

Alexandre Faribault, Dirk Schuricht

Published 2012-10-26, updated 2013-01-28Version 3

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.