Systems with Dirac or Weyl fermions exhibit quantum chiral transport phenomena induced by magnetic field and vorticity. These transport phenomena have a close connection to the chiral anomaly in quantum field theory and are considered to manifest in a variety of systems, such as Weyl/Dirac semimetals, quark-gluon plasma in relativistic heavy-ion collisions, electroweak plasma in the early universe, and neutrino matter in supernovae. In this talk, we focus on high-density lepton matter in supernovae and discuss how chiral transport phenomena can significantly alter the hydrodynamics evolution, including turbulence, with potential implications for magnetars, pulsar kicks, and supernova explosions.
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