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

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.

References in corpus (27)

• Restoring the density-gradient expansion for exchange in solids and surfaces
• Generalized gradient approximation for solids and their surfaces
• By-passing the Kohn-Sham equations with machine learning
• Self-consistent fluid model for a quantum electron gas
• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Colloquium: Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
• Resonance shifts and spill-out effects in self-consistent hydrodynamic nanoplasmonics
• The Uniform Electron Gas at Warm Dense Matter Conditions
• Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions
• {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
• Quantum transport in ultracold atoms
• The Fermion Sign Problem in Path Integral Monte Carlo Simulations: Quantum Dots, Ultracold Atoms, and Warm Dense Matter
• Effective Static Approximation: A Fast and Reliable Tool for Warm Dense Matter Theory
• Nonlinear Electronic Density Response in Warm Dense Matter
• Current-dependent exchange-correlation potential for non-local absorption in quantum hydrodynamic theory
• Nonequilibrium dynamics in the one-dimensional Fermi-Hubbard model: A comparison of the nonequilibrium Green functions approach and the density matrix renormalization group method
• Accelerating Finite-temperature Kohn-Sham Density Functional Theory with Deep Neural Networks
• Ab initio transport results for strongly correlated fermions
• Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics
• The Relevance of Electronic Perturbations in the Warm Dense Electron Gas
• About Some Problems Raised by the Relativistic Form of De-Broglie--Bohm Theory of Pilot Wave
• Shock Physics in Warm Dense Matter--a quantum hydrodynamics perspective
• Observation of ultrafast solid-density plasma dynamics using femtosecond X-ray pulses from a free-electron laser
• Generalized hydrodynamics revisited
• Sub-Quantum Dark Energy
• Quantum hydrodynamics for nanoplasmonics
• Modified Friedmann equations via conformal Bohm -- De Broglie gravity

Cited by in corpus (13)

• Electronic Density Response of Warm Dense Matter
• First principles simulations of dense hydrogen
• Ab initio Static Exchange-Correlation Kernel across Jacob's Ladder without functional derivatives
• Effective electronic forces and potentials from ab initio path integral Monte Carlo simulations
• Linear-response time-dependent density functional theory approach to warm dense matter with adiabatic exchange--correlation kernels
• Non-empirical mixing coefficient for hybrid XC functionals from analysis of the XC kernel
• Assessing the accuracy of hybrid exchange-correlation functionals for the density response of warm dense electrons
• From Density Response to Energy Functionals and Back: An ab initio perspective on Matter Under Extreme Conditions
• Averaging over atom snapshots in linear-response TDDFT of disordered systems: A case study of warm dense hydrogen
• Imposing Correct Jellium Response Is Key to Predict the Density Response by Orbital-Free DFT
• Development of a new quantum trajectory molecular dynamics framework
• Energy response and spatial alignment of the perturbed electron gas
• Ion core effect on transport characteristics in warm dense matter