Towards a Quantum Fluid Theory of Correlated Many-Fermion Systems from First Principles

TL;DR

This paper advances quantum hydrodynamics by incorporating a many-fermion quantum Bohm potential, enabling more accurate simulations of strongly perturbed correlated fermion systems across various physical regimes.

Contribution

It introduces an extension of quantum hydrodynamics using a many-fermion quantum Bohm potential, improving modeling of strongly perturbed many-fermion systems.

Findings

Extended QHD to strongly perturbed regimes.

Enhanced simulation accuracy for warm dense matter.

Potential applications in astrophysics and nanostructures.

Abstract

Correlated many-fermion systems emerge in a broad range of phenomena in warm dense matter, plasmonics, and ultracold atoms. Quantum hydrodynamics (QHD) complements common first-principles methods for many-fermion systems and enables simulations at larger length and longer time scales. While the quantum Bohm potential is central to QHD, we illustrate its failure for strong perturbations. We extend QHD to this regime by utilizing the many-fermion quantum Bohm potential. This opens up the path to more accurate simulations in strongly perturbed warm dense matter, inhomogeneous quantum plasmas, and on nano-structure surfaces at scales unattainable with first-principles algorithms. The many-fermion quantum Bohm potential might also have important astrophysical applications in developing conformal-invariant cosmologies.