Dynamics of two_dimensional quantum fluids

Jincheng Zhang

Quantum-Enhanced Fluid Dynamics Simulation (QEDS) presents a novel approach to complex fluid dynamics simulation, leveraging the principles of quantum mechanics to accelerate calculations and enhance the fidelity of results. Traditional CFD methods often struggle with computationally intensive scenarios, particularly those involving extreme conditions and high dimensionality. QEDS aims to overcome these limitations by integrating quantum effects into the simulation process. This paper explores the fundamental concepts behind QEDS, detailing the core mechanism for achieving enhanced performance, and discussing potential applications across diverse fluid dynamics domains.

G. Gervais

Chung‐In Um

Jincheng Zhang

This paper presents an algorithmic quantum simulation approach to modeling complex fluid dynamics, specifically targeting the intricacies of turbulence. Traditional CFD simulations struggle to accurately capture the multi-scale dynamics inherent in turbulent flows, often requiring extensive computational resources and approximations. We introduce a novel 'Quantum Flow Lattice' – a quantum-mechanical representation of fluid motion – designed to overcome these limitations by explicitly modeling fluid dynamics across multiple scales. This research explores the feasibility of utilizing quantum algorithms to enhance the fidelity of fluid dynamics simulations, offering a potentially transformative advancement in computational fluid dynamics.

Bijoy K. Dey, HERSCHEL A. RABITZ, Attila Aşkar

A quantum fluid-dynamic (QFD) control formulation is presented for optimally manipulating atomic and molecular systems. In QFD the control quantum system is expressed in terms of the probability density \ensuremath{\rho} and the quantum current j. This choice of variables is motivated by the generally expected slowly varying spatial-temporal dependence of the fluid-dynamical variables. The QFD approach is illustrated for manipulation of the ground electronic state dynamics of HCl induced by an external electric field.