期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 54, 期 7, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/abd736
关键词
quantum master equation; destructive interference; complete positivity; efficient evaluation
资金
- Austrian Science Fund (FWF) [P26508, 71033]
- Austrian Science Fund (FWF) [P26508] Funding Source: Austrian Science Fund (FWF)
The article introduces a systematic approximation method for evaluating the Born-Markov master equations in open quantum systems for steady state transport studies. The approach formulates the master equation in the eigenbasis of the system, gradually building it by including eigenstates with increasing grandcanonical energies, and introduces quality factors to quantify convergence of the approximate scheme.
We introduce a systematic approximation for an efficient evaluation of Born-Markov master equations for steady state transport studies in open quantum systems out of equilibrium: the energy resolved master equation approach. The master equation is formulated in the eigenbasis of the open quantum system and build successively by including eigenstates with increasing grandcanonical energies. In order to quantify convergence of the approximate scheme we introduce quality factors to check preservation of trace, positivity and hermiticity. Furthermore, we discuss different types of master equations that go beyond the commonly used secular approximation in order to resolve coherences between quasi-degenerate states. For the discussion of complete positivity we introduce a canonical Redfield-Bloch master equation and compare it to a previously derived master equations in Lindblad form with and without using the secular approximation. The approximate scheme is benchmarked for a six orbital quantum system which shows destructive quantum interference under the application of a bias voltage. The energy resolved master equation approach presented here makes quantum transport calculations in many-body quantum systems numerically accessible also beyond six orbitals with a full Hilbert space of the order of similar to 10(6).
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