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Related Experiment Video

Updated: Jun 18, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Hierarchical quantum master equation with semiclassical Drude dissipation.

Rui-Xue Xu¹, Bao-Ling Tian, Jian Xu

¹Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026, China. rxxu@ustc.edu.cn

The Journal of Chemical Physics

|December 9, 2009

Summary

We developed a new quantum dissipation theory using a hierarchical quantum master equation for condensed phase systems. This improved theory offers accurate dynamics without increased computational cost, validated by electron transfer models.

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Area of Science:

Quantum mechanics
Condensed matter physics
Chemical physics

Background:

Quantum dissipation is crucial for understanding dynamics in condensed phases.
Existing theories often rely on high-temperature approximations, limiting their applicability.
The stochastic Liouville equation and Zusman equation are common theoretical frameworks.

Purpose of the Study:

To develop a nonperturbative quantum dissipation theory applicable to diverse condensed phase systems.
To improve upon existing semiclassical treatments of bath dynamics.
To provide a reliable theoretical tool for simulating quantum dynamics.

Main Methods:

Development of a hierarchical quantum master equation.
Improved semiclassical treatment of the Drude bath, surpassing high-temperature approximations.
Application to two-level electron transfer model systems.

Main Results:

The proposed theory offers a significant improvement over conventional stochastic Liouville equation theory.
The new theory demonstrates broad validity and applicability without additional numerical cost.
A criterion for estimating the performance of the hierarchical quantum master equation was established.

Conclusions:

The hierarchical quantum master equation provides a robust and efficient method for quantum dissipation.
The improved semiclassical treatment enhances the accuracy of dynamics simulations.
This work offers a valuable tool for studying complex quantum systems in condensed phases.