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<p>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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月24日

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  • Jan Vorberger,
  • Tobias Dornheim,
  • Maximilian P. Böhme,
  • Zhandos A. Moldabekov,
  • Panagiotis Tolias

摘要

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.