Unravelling the nonlinear ideal density response of many-body systems

Abstract

Nonlinear density response theory is revisited focusing on the harmonically perturbed finite temperature uniform electron gas. Within the non-interacting limit, brute force quantum kinetic theory calculations for the quadratic, cubic, quartic and quintic responses reveal a deep connection with the linear response. Careful analysis of the static long wavelength limit led us to conjecture a canonical non-interacting form that expresses arbitrary order nonlinear responses as the weighted sum of the linear responses evaluated at all multiple harmonics. This harmonic expansion is successfully validated against ab initio path integral Monte Carlo simulations

arXiv comment7 pages, 3 figures, 169 pages of supplementary material

References in corpus (25)

• The Uniform Electron Gas at Warm Dense Matter Conditions
• Local Spin-density Approximation Exchange-correlation Free-energy Functional
• Theory of the giant plasmon enhanced second harmonic generation in graphene and semiconductor two-dimensional electron systems
• Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions
• Ab initio simulation of warm dense matter
• {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
• \textit{Ab Initio} Path Integral Monte Carlo Results for the Dynamic Structure Factor of Correlated Electrons: From the Electron Liquid to Warm Dense Matter
• Ab Initio Path Integral Monte Carlo Approach to the Static and Dynamic Density Response of the Uniform Electron Gas
• Accurate Temperature Diagnostics for Matter under Extreme Conditions
• Dynamic properties of the warm dense electron gas: an ab initio path integral Monte Carlo approach
• Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics
• Nonlinear density response from imaginary-time correlation functions: Ab initio path integral Monte Carlo simulations of the warm dense electron gas
• Overcoming finite-size effects in electronic structure simulations at extreme conditions
• Energy loss and friction characteristics of electrons at warm dense matter and non-ideal dense plasma conditions
• Screening of a test charge in a free-electron gas at warm dense matter and dense non-ideal plasma conditions
• Effective electronic forces and potentials from ab initio path integral Monte Carlo simulations
• Integral equation theory based dielectric scheme for strongly coupled electron liquids
• Classical bridge functions in classical and quantum plasma liquids
• Quadratic electronic response of a two-dimensional electron gas
• Nonlinear Density Response and Higher Order Correlation Functions in Warm Dense Matter
• Quantum version of the integral equation theory based dielectric scheme for strongly coupled electron liquids
• Nonlinear response theories and effective pair potentials
• Nonlinear electromagnetic response of a uniform electron gas
• Thermal Signals from Collective Electronic Excitations in Inhomogeneous Warm Dense Matter
• Nonlinear interaction of charged particles with a free electron gas beyond the random-phase approximation

Cited by in corpus (7)

• First principles simulations of dense hydrogen
• From Density Response to Energy Functionals and Back: An ab initio perspective on Matter Under Extreme Conditions
• Imposing Correct Jellium Response Is Key to Predict the Density Response by Orbital-Free DFT
• Fourier-Matsubara series expansion for imaginary-time correlation functions
• Energy response and spatial alignment of the perturbed electron gas
• On the density-density correlations of the non-interacting finite temperature electron gas
• Generalized density functional theory framework for the non-linear density response of quantum many-body systems