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Related Experiment Video

Updated: Sep 20, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

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

Jan Vorberger¹, Tobias Dornheim^1,2, Maximilian P Böhme³

¹Helmholtz-Zentrum Dresden-Rossendorf (HZDR), 01328 Dresden, Germany.

Journal of Statistical Physics

|May 27, 2025

Summary

This study derives equations for higher-order density response and dielectric functions using thermodynamic Green's functions. These findings advance the understanding of quantum many-body systems under extreme conditions.

Keywords:

Density response Green’s function Higher order correlations Nonlinear response Warm dense matter

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Area of Science:

Theoretical physics
Condensed matter physics
Quantum many-body systems

Background:

Understanding the behavior of quantum many-body systems is crucial for various fields.
Higher-order response functions are essential for describing complex system dynamics.
Existing theories may not fully capture the behavior of systems under extreme conditions.

Purpose of the Study:

To derive equations of motion for higher-order density response functions.
To obtain expressions for higher-order generalized dielectric and polarization functions.
To establish relationships between higher-order response functions and collision integrals.

Main Methods:

Utilizing the theory of thermodynamic Green's functions.
Applying the Martin-Schwinger hierarchy.
Developing analytical expressions for complex functions.

Main Results:

Derived equations of motion for higher-order density response functions.
Obtained expressions for higher-order generalized dielectric and polarization functions.
Established a connection between higher-order response functions and collision integrals.

Conclusions:

The derived equations provide a theoretical framework for analyzing quantum many-body systems.
Results are expected to be highly relevant for systems under extreme temperatures, densities, and pressures.
This work contributes to a deeper understanding of fundamental physical phenomena in complex systems.