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Quantum Numbers- Principal, Azimuthal, Magnetic and Spin
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Stochastic Representation of Non-Markovian Fermionic Quantum Dissipation
Lu Han1, Vladimir Chernyak1,2, Yun-An Yan3
1Hefei National Laboratory for Physical Sciences at the Microscale & Synergetic Innovation Center of Quantum Information and Quantum Physics & CAS Center for Excellence in Nanoscience, University of Science and Technology of China, Hefei, Anhui 230026, China.
Physical Review Letters
|September 7, 2019
Summary
Researchers developed a new method to simulate quantum Brownian motion in fermionic environments. This approach maps complex Grassmann-valued fields to conventional noises, enabling accurate simulations of quantum systems.
Area of Science:
- Quantum physics
- Condensed matter theory
- Computational physics
Background:
- Quantum Brownian motion is crucial in modern physics.
- Environmental fluctuations in path integrals are modeled by stochastic fields.
- Fermionic environments require nonclassical Grassmann-valued fields.
Purpose of the Study:
- To develop a method for simulating fermionic dissipative dynamics.
- To map Grassmann-valued fields to conventional c-number noises.
- To enable direct stochastic simulation of quantum systems.
Main Methods:
- Mapping Grassmann-number fields to c-number noises and quantized pseudolevels.
- Deriving a stochastic equation of motion (SEOM).
- Numerical studies on a single-impurity Anderson model.
Main Results:
- The SEOM enables direct stochastic simulation of fermionic dissipative dynamics.
- Exact physical observables are obtained for noninteracting systems.
- Accurate approximate results are achieved for interacting systems.
Conclusions:
- The proposed strategy and SEOM are practical and accurate.
- This method facilitates the study of quantum systems with fermionic environments.
- Numerical examples validate the approach for complex models.
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