Volume 142, Number 4, May 2023
|Number of page(s)||7|
|Section||Nuclear and plasma physics, particles and fields|
|Published online||22 May 2023|
Unravelling the nonlinear ideal density response of many-body systems
1 Space and Plasma Physics, Royal Institute of Technology (KTH) - SE-10044 Stockholm, Sweden
2 Center for Advanced Systems Understanding (CASUS) - D-02826 Görlitz, Germany
3 Helmholtz-Zentrum Dresden-Rossendorf (HZDR) - D-01328 Dresden, Germany
(a) E-mail: email@example.com (corresponding author)
Received: 16 March 2023
Accepted: 9 May 2023
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.
© 2023 The author(s)
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