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- W2159383699 abstract "We evaluate free-induction decay for the transverse components of a localized electron spin coupled to a bath of nuclear spins via the Fermi-contact hyperfine interaction. Our perturbative treatment is valid for special (narrowed) bath initial conditions and when the Zeeman energy of the electron $b$ exceeds the total hyperfine coupling constant $A$: $b>A$. Using one unified and systematic method, we recover previous results reported at short and long times using different techniques. We find an unexpected modulation of the free-induction-decay envelope, which is present even for a purely isotropic hyperfine interaction without spin echoes and for a single nuclear species. We give subleading corrections to the decoherence rate, and show that, in general, the decoherence rate has a nonmonotonic dependence on electron Zeeman splitting, leading to a pronounced maximum. These results illustrate the limitations of methods that make use of leading-order effective Hamiltonians and re-exponentiation of short-time expansions for a strongly interacting system with non-Markovian (history-dependent) dynamics." @default.
- W2159383699 created "2016-06-24" @default.
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- W2159383699 date "2010-04-19" @default.
- W2159383699 modified "2023-10-17" @default.
- W2159383699 title "Free-induction decay and envelope modulations in a narrowed nuclear spin bath" @default.
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- W2159383699 doi "https://doi.org/10.1103/physrevb.81.165315" @default.
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