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Updated: Jun 11, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Spectral densities, structured noise and ensemble averaging within open quantum dynamics.
Yannick Marcel Holtkamp1, Emiliano Godinez-Ramirez1, Ulrich Kleinekathöfer1
1School of Science, Constructor University, Campus Ring 1, 28759 Bremen, Germany.
Numerical integration of Schrödinger equation (NISE) methods are advanced for simulating larger quantum systems. New techniques improve long-time accuracy and enable simulations with structured spectral densities, aiding in calculating absorption spectra.
Area of Science:
- Quantum mechanics
- Computational chemistry
- Theoretical physics
Background:
- Numerically exact methods for open quantum systems are limited to small systems.
- Approximate methods like numerical integration of Schrödinger equation (NISE) are crucial for larger system simulations.
- Advancements in NISE are needed to extend its applicability.
Purpose of the Study:
- To improve the long-time behavior of the thermalized NISE scheme.
- To enable NISE simulations with structured spectral densities using a novel noise generation algorithm.
- To assess NISE's capability in calculating absorption spectra and population dynamics.
Main Methods:
- Modified ensemble-averaging procedure for thermalized NISE.
- Noise generating algorithm for arbitrary structured noise.
- Application of NISE to calculate absorption spectra and population dynamics.
Main Results:
- Improved long-time accuracy of the thermalized NISE scheme.
- Successful integration of NISE with structured spectral densities.
- Demonstrated utility of NISE for calculating absorption spectra and population dynamics.
Conclusions:
- The enhanced NISE approach extends the simulation capabilities for open quantum systems.
- The developed noise generation algorithm facilitates accurate spectral density determination.
- NISE is a powerful tool for studying quantum dynamics and optical properties.
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