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Hierarchical equations of motion method based on Fano spectrum decomposition for low temperature environments
Hou-Dao Zhang1, Lei Cui1, Hong Gong1
1Hefei National Laboratory for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
The Journal of Chemical Physics
|February 17, 2020
Summary
The Fano spectrum decomposition (FSD) method enhances the hierarchical equations of motion (HEOM) for open quantum systems. This approach significantly reduces computational costs, enabling accurate studies at ultra-low temperatures.
Area of Science:
- Quantum mechanics
- Computational physics
- Chemistry
Background:
- The hierarchical equations of motion (HEOM) method is widely used for open quantum system studies.
- High computational cost limits HEOM's applicability at ultra-low temperatures due to complex environmental memory characterization.
Purpose of the Study:
- To establish Fano spectrum decomposition (FSD)-based HEOM formalisms for bosonic and fermionic environments.
- To demonstrate the accuracy and efficiency of FSD-based HEOM for low-temperature open quantum systems.
Main Methods:
- Developed FSD-based HEOM formalisms for both bosonic and fermionic reservoirs.
- Expanded reservoir correlation functions using polynomial-exponential functions to reduce memory basis set size.
Main Results:
- Successfully applied FSD-based HEOM to calculate low-temperature dynamics of a spin-boson model.
- Analyzed dynamic and static properties of an Anderson impurity model in the Kondo regime.
Conclusions:
- FSD-based HEOM significantly reduces computational cost for open quantum systems.
- The method proves practical and useful for studying general open systems at ultra-low temperatures.
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