Quantum chaos, pole-skipping and hydrodynamics in a holographic system with chiral anomaly

Understand

It is well-known that chiral anomaly can be macroscopically detected through the energy and charge transport, due to the chiral magnetic effect.

• On the other hand, in a holographic many body system, the chaotic modes might be only associated with the energy conservation.
• This suggests that, perhaps, one can detect microscopic anomalies through the diagnosis of quantum chaos in such systems.
• To investigate this idea, we consider a magnetized brane in AdS space time with a Chern-Simons coupling in the bulk.