Emergence of Navier-Stokes Hydrodynamics in Chaotic Quantum Circuits

Author(s): Hansveer Singh, Ewan McCulloch, Sarang Gopalakrishnan, and Romain Vasseur We construct an ensemble of two-dimensional nonintegrable quantum circuits that are chaotic but have a conserved particle current, and thus a finite Drude weight. The long-wavelength hydrodynamics of such systems is given by the incompressible Navier-Stokes equations. By analyzing circuit-to-circuit… [Phys. Rev. Lett. 134, 230401] Published Tue Jun 10, 2025