Quantum spin representation for the Navier-Stokes equation
Zhaoyuan Meng, Yue Yang
Abstract
We develop a quantum representation for Newtonian viscous fluid flows by establishing a mapping between the Navier-Stokes equation (NSE) and the Schrödinger-Pauli equation (SPE). The proposed nonlinear SPE incorporates the two-component wave function and the imaginary diffusion. Consequently, classical fluid flow can be interpreted as a non-Hermitian quantum spin system. Using the SPE-based numerical simulation of viscous flows, we demonstrate the quantum/wavelike behavior in flow dynamics. Furthermore, the SPE equivalent to the NSE can facilitate the quantum simulation of fluid dynamics. Published by the American Physical Society 2024
Topics & Concepts
Representation (politics)Spin (aerodynamics)QuantumPhysicsMathematical physicsQuantum mechanicsMathematicsTheoretical physicsPolitical scienceThermodynamicsLawPoliticsAdvanced Thermodynamics and Statistical MechanicsQuantum Mechanics and ApplicationsQuantum Information and Cryptography