Quantum fluctuations in hydrodynamics and quantum long-time tails
The study develops a quantum effective field theory for diffusive hydrodynamics using Schwinger-Keldysh formalism and KMS symmetry to incorporate fluctuation-dissipation theorems at finite temperature and quantum levels. This leads to intrinsically non-Gaussian noise, resulting in a quantum generalization of hydrodynamic long-time tails characterized by specific non-analytic corrections.