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DOE OSTI · 2588167

Green’s Function Perspective on the Nonlinear Density Response of Quantum Many-Body Systems

Abstract

We derive equations of motion for higher order density response functions using the theory of thermodynamic Green’s functions. We also derive expressions for the higher order generalized dielectric functions and polarization functions. Moreover, we relate higher order response functions and higher order collision integrals within the Martin–Schwinger hierarchy. We expect our results to be highly relevant to the study of a variety of quantum many-body systems such as matter under extreme temperatures, densities, and pressures.

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BibTeXRIS

Vorberger, Jan [Helmholtz-Zentrum Dresden-Rossendorf (HZDR), Dresden (Germany)] (ORCID:0000000159269192), Dornheim, Tobias [Helmholtz-Zentrum Dresden-Rossendorf (HZDR), Dresden (Germany); Center for Advanced Systems Understanding (CASUS), Görlitz (Germany)], Böhme, Maximilian P. [Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)], Moldabekov, Zhandos A. [Helmholtz-Zentrum Dresden-Rossendorf (HZDR), Dresden (Germany); Center for Advanced Systems Understanding (CASUS), Görlitz (Germany)], Tolias, Panagiotis [KTH Royal Inst. of Technology, Stockholm (Sweden)]. 2025-05-24. Green’s Function Perspective on the Nonlinear Density Response of Quantum Many-Body Systems. https://doi.org/10.1007/s10955-025-03454-5

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