Abstract
In this work we present a straightforward formalism to evaluate the nuclear
spin dynamics driven by hyperfine interaction with non-equilibrium electron
spins. To describe the dynamics up to second order in the hyperfine coupling,
it suffices to evaluate the susceptibility and fluctuations of the electron
spin. Our approach does not rely on a separation of electronic energy scales or
the specific choice of electronic basis states, thereby overcoming practical
problems which may arise when using a more traditional formalism based on rate
equations.
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