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Taming Quantum Noise for Efficient Low Temperature Simulations of Open Quantum Systems
Meng Xu1, Yaming Yan2, Qiang Shi2
1Institute for Complex Quantum Systems and IQST, Ulm University-Albert-Einstein-Allee 11, D-89069 Ulm, Germany.
Physical Review Letters
|December 23, 2022
Summary
This study enhances the hierarchical equations of motion (HEOM) for simulating open quantum systems. The new method effectively treats quantum noise, enabling accurate simulations across diverse conditions and models.
Area of Science:
- Quantum mechanics
- Computational physics
- Condensed matter theory
Background:
- The hierarchical equations of motion (HEOM) are a powerful tool for open quantum systems.
- Current HEOM methods are limited by specific spectral reservoir distributions and temperature ranges.
Purpose of the Study:
- To extend the applicability of HEOM to arbitrary temperatures and general reservoirs.
- To improve the efficiency, accuracy, and long-time stability of quantum dynamics simulations.
Main Methods:
- Developed an effective treatment of quantum noise in frequency space.
- Systematically clustered higher-order Matsubara poles for optimized rational decomposition.
- Extended HEOM to arbitrary temperatures and general reservoirs.
Main Results:
- Achieved efficient, accurate, and long-time stable simulations for open quantum systems.
- Demonstrated applicability to arbitrary temperatures and general reservoirs.
- Verified the Shiba relation for the subohmic spin-boson model at zero temperature.
Conclusions:
- The enhanced HEOM method offers a significant advancement in simulating quantum dynamics.
- This technique is broadly applicable and can be integrated with other simulation approaches.
- Provides a robust framework for studying complex quantum phenomena.
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