Email this article Higher-order Corrections to the Redfield Equation with Respect to the System-bath Coupling Based on the Hierarchical Equations of Motion
- Authors: Trushechkin A.S.1,2,3
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- National Research Nuclear University MEPhI
- National University of Science and Technology MISiS
- Issue: Vol 40, No 10 (2019)
- Pages: 1606-1618
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205819
- DOI: https://doi.org/10.1134/S1995080219100275
- ID: 205819
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Abstract
The Redfield equation describes the dynamics of a quantum system weakly coupled to one or more reservoirs and is widely used in theory of open quantum system. However, the assumption of weak system-reservoir coupling is often not fully adequate and higher-order corrections to the Redfield equation with respect to the system-bath coupling is required. Here we propose a general method of derivation of higher-order corrections to the Redfield quantum master equation based on the hierarchical equations of motion (HEOM). Also we derive conditions of validity of the Redfield equation as well as the additional secular approximation for it.
About the authors
A. S. Trushechkin
Steklov Mathematical Institute of Russian Academy of Sciences; National Research Nuclear University MEPhI; National University of Science and Technology MISiS
Author for correspondence.
Email: trushechkin@mi-ras.ru
Russian Federation, Moscow, 119991; Moscow, 115409; Moscow, 119049
