  Quantum fluctuations become particularly relevant in highly frustrated
quantum magnets and can lead to new states of matter. We provide a simple and
robust scenario for inducing magnetic vortex crystals in frustrated Mott
insulators. By considering a quantum paramagnet that has a gapped spectrum with
six-fold degenerate low energy modes, we study the magnetic field induced
condensation of these modes. We use a dilute gas approximation to demonstrate
that a plethora of multi-$\mathbf{Q}$ condensates are stabilized for different
combinations of exchange interactions. This rich quantum phase diagram includes
magnetic vortex crystals, which are further stabilized by symmetric exchange
anisotropies. Because magnetic skyrmion and domain wall crystals have already
been predicted and experimentally observed, this novel vortex phase completes
the picture of emergent crystals of topologically nontrivial spin
configurations.
