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Stochastic equation of motion approach to fermionic dissipative dynamics. II. Numerical implementation.
- Source :
- Journal of Chemical Physics; 5/29/2020, Vol. 152 Issue 20, p1-15, 15p, 1 Diagram, 8 Graphs
- Publication Year :
- 2020
-
Abstract
- This paper provides a detailed account of the numerical implementation of the stochastic equation of motion (SEOM) method for the dissipative dynamics of fermionic open quantum systems. To enable direct stochastic calculations, a minimal auxiliary space (MAS) mapping scheme is adopted, with which the time-dependent Grassmann fields are represented by c-number noises and a set of pseudo-operators. We elaborate on the construction of the system operators and pseudo-operators involved in the MAS-SEOM, along with the analytic expression for the particle current. The MAS-SEOM is applied to study the relaxation and voltage-driven dynamics of quantum impurity systems described by the single-level Anderson impurity model, and the numerical results are benchmarked against those of the highly accurate hierarchical equations of motion method. The advantages and limitations of the present MAS-SEOM approach are discussed extensively. [ABSTRACT FROM AUTHOR]
- Subjects :
- QUANTUM theory
ANDERSON model
EQUATIONS of motion
Subjects
Details
- Language :
- English
- ISSN :
- 00219606
- Volume :
- 152
- Issue :
- 20
- Database :
- Complementary Index
- Journal :
- Journal of Chemical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 143545643
- Full Text :
- https://doi.org/10.1063/1.5142166