scholarly journals Perturbation analysis in finite LD-QBD processes and applications to epidemic models

2018 ◽  
Vol 25 (5) ◽  
pp. e2160 ◽  
Author(s):  
A. Gómez-Corral ◽  
M. López-García
Keyword(s):  
Perturbation Analysis ◽  
Epidemic Models ◽  
Qbd Processes

scholarly journals Perturbation Analysis of Quantum Reset Models

2021 ◽  
Vol 183 (1) ◽  
Author(s):  
Géraldine Haack ◽  
Alain Joye
Keyword(s):  
Steady State ◽  
Perturbation Analysis ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Markov Semigroup ◽  
Coupling Constant ◽  
Coupling Term ◽  
Open Quantum ◽  
Effective Dynamics ◽  
A Chain

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.

Busy period analysis of finite QBD processes

2008 ◽  
Vol 36 (2) ◽  
pp. 98-100 ◽  
Author(s):  
Chaitanya Garikiparthi ◽  
Appie van de Liefvoort ◽  
Ken Mitchell
Keyword(s):  
Busy Period ◽  
Period Analysis ◽  
Qbd Processes
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