scholarly journals Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equations

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Michael Sven Ferguson ◽  
Oded Zilberberg ◽  
Gianni Blatter
2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Géraldine Haack ◽  
Alain Joye

AbstractThis paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete examples corresponding to realistic open quantum systems.


2018 ◽  
Vol 10 ◽  
pp. 353-355 ◽  
Author(s):  
Edgar A. Gómez ◽  
Jorge David Castaño-Yepes ◽  
Saravana Prakash Thirumuruganandham

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