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We investigate non-equilibrium quantum spin systems via an exact mapping tostochastic differential equations. This description is invariant under a shiftin the mean of the Gaussian noise. We show that one can extend the simulationtime for real-time dynamics in one and two dimensions by a judicious choice ofthis shift. This can be updated dynamically in order to reduce the impact ofstochastic fluctuations. We discuss the connection to drift gauges in thegauge-P literature.

Time-Evolving Weiss Fields in the Stochastic Approach to Quantum Spins