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Updated: Jun 27, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Coarse grained open system quantum dynamics.

Ioannis Thanopulos¹, Paul Brumer, Moshe Shapiro

¹Department of Chemistry, The University of British Columbia, Vancouver V6T 1Z3, Canada. ithano@eie.gr

The Journal of Chemical Physics

|November 26, 2008

Summary

This summary is machine-generated.

We developed a new method to simplify complex quantum dynamics. This approach uses coarse-grained differential equations, solvable by matrix diagonalization, applicable across various scientific fields.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Quantum mechanics
Physical chemistry
Materials science

Background:

Simulating quantum dynamics of coupled systems is computationally intensive.
Existing methods often require approximations or have limitations on system parameters.

Purpose of the Study:

To develop a universally applicable method for simplifying quantum dynamics.
To reduce complex quantum systems to solvable ordinary differential equations.
To demonstrate the method's utility across diverse scientific domains.

Main Methods:

Recasting quantum dynamics of a coupled system (subspace Q coupled to subspace P) into reduced ordinary differential equations.
Solving these equations via a single diagonalization of a complex matrix.
The method imposes no constraints on coupling strength or initial populations.

Main Results:

A general method for solving quantum dynamics is established.
The approach is validated through applications in molecular compounds, photonic materials, and condensed phases.
The method offers a significant simplification without loss of accuracy.

Conclusions:

The developed coarse-graining technique provides an efficient and versatile tool for analyzing quantum dynamics.
This method broadens the scope of solvable quantum systems in physical chemistry and materials science.
The approach facilitates deeper understanding and prediction of quantum phenomena.