6 citations · 6 across the 3 of their papers we have counts for
4 papers
Long-term behavior of the master equation on a countable network and approximation methods of the (stationary) solutions via finite subsystems in the thermodynamic limit
Bernd Michael Fernengel, Thilo Gross, Wolfram Just
The Master equation on directed networks - also called the differential Chapman-Kolmogorov equation - is a linear differential equation, which describes the probability evolution i…
Explicit expressions for stationary states of the Lindblad equation for a finite state space
Bernd Michael Fernengel, Barbara Drossel
The Lindblad equation describes the time evolution of a density matrix of a quantum mechanical system. Stationary solutions are obtained by time-averaging the solution, which will…
Obtaining the long-term behavior of Master equations with finite state space from the structure of the associated state transition network
Bernd Fernengel, Barbara Drossel
The Master equation describes the time evolution of the probabilities of a system with a discrete state space. This time evolution approaches for long times a stationary state that…
Bifurcation and chaos in nonlinear Lindblad equations
Bernd Fernengel, Barbara Drossel
The Lindblad equation describes the dissipative time evolution of a density matrix that characterizes an open quantum system in contact with its environment. The widespread ensembl…