. We go beyond the adiabatic approximation numerically, accounting for the quantum dynamics of environmental modes and capturing their dissipative coupling to condensate dynamics. For the case of an optical-lattice superfluid, we demonstrate that vortex motion damping can be adjusted by tuning the ratio between the tunneling energy

J

and the on-site interaction energy

U

. We comment on the possibility of realizing vortex-Landau-level physics.

DOI: 10.1103/physreva.81.013609

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R

, or the typical distance between vortices, is very much larger than the coherence length

\ensuremath{\xi}

J

and the on-site interaction energy

U

. We comment on the possibility of realizing vortex-Landau-level physics.