期刊
PHYSICAL REVIEW RESEARCH
卷 3, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.3.023127
关键词
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资金
- Swiss National Science Foundation through Division 2 [PP00P2 1163818, PP00P2 190078]
- National Center of Competence in Research on Quantum Science and Technology (QSIT)
- Swiss National Science Foundation (SNF) [PP00P2_190078] Funding Source: Swiss National Science Foundation (SNF)
The article introduces a diagrammatic approach based on operators to evaluate the steady-state TCL generator, which can derive steady-state occupation numbers and compute currents while providing a simple physical interpretation. The method is validated on a single noninteracting level and can be extended to higher orders.
Steady-state observables, such as occupation numbers and currents, are crucial experimental signatures in open quantum systems. The time-convolutionless (TCL) master equation, which is both exact and time-local, is an ideal candidate for the perturbative computation of such observables. We develop a diagrammatic approach to evaluate the steady-state TCL generator based on operators rather than superoperators. We obtain the steady-state occupation numbers, extend our formulation to the calculation of currents, and provide a simple physical interpretation of the diagrams. We further benchmark our method on a single noninteracting level coupled to Fermi reservoirs, where we recover the exact expansion to next-to-leading order. The low number of diagrams appearing in our formulation makes the extension to higher orders accessible. Combined, these properties make the steady-state time-convolutionless master equation an effective tool for the calculation of steady-state properties in open quantum systems.
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