Exact master equation solution of central spin dephasing dynamics

Details Exact master equation solution of central spin dephasing dynamics Exact master equation solution of central spin dephasing dynamics

2012-03-28

arxiv.org/abs/1203.6355v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

We give an exact solution to the long-standing central spin problem for a general set of inhomogeneous bath couplings and a large class of initial bath states. We compute the time evolution of the coherence of a central spin coupled to a spin bath by resumming all orders of the time-convolutionless master equation, thus avoiding the need to assume weak coupling to the bath. The fully quantum, non-Markovian solution is obtained in the large-bath limit and is valid up to a timescale set by the largest coupling constant. Our result captures the full decoherence of an electron spin qubit coupled to a nuclear spin bath in a GaAs quantum dot for experimentally relevant parameters. In addition, our solution is quite compact and can readily be used to make quantitative predictions for the decoherence process and to guide the design of nuclear state preparation protocols.

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