We describe the effects of the crossing of the exciton levels in moiré quantum dots in an external magnetic field. We demonstrate that the unpolarized light can create significant dynamic valley polarization of interlayer excitons in the conditions where the Zeeman energy is much smaller than the thermal energy. The angular momentum is gained by the excitons from the nuclear spin fluctuations. In the $n$-type moiré quantum dots for the typical experimental parameters, the unpolarized light can lead to the complete valley polarization of the resident electrons.

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• Excitons
• Spin pumping
• Valleytronics
• Quantum dots
• Transition metal dichalcogenides
• Quantum master equation