Markovian dynamics of concurrent systems

Non-markovian Dynamics of Open Quantum Systems

Title of dissertation: NON-MARKOVIAN DYNAMICS OF OPEN QUANTUM SYSTEMS Chris H. Fleming, Doctor of Philosophy, 2011 Dissertation directed by: Professor Bei-Lok Hu Department of Physics An open quantum system is a quantum system that interacts with some environment whose degrees of freedom have been coarse grained away. This model describes non-equilibrium processes more general than scattering-m...

Integrated analysis of concurrent distributed systems using Markovian process algebra

Markovian Delay Prediction-Based Control of Networked Systems

A new Markov-based method for real time prediction of network transmission time delays is introduced. The method considers a Multi-Layer Perceptron (MLP) neural model for the transmission network, where the number of neurons in the input layer is minimized so that the required calculations are reduced and the method can be implemented in the real-time. For this purpose, the Markov process order...

General non-Markovian dynamics of open quantum systems.

We present a general theory of non-Markovian dynamics for open systems of noninteracting fermions (bosons) linearly coupled to thermal environments of noninteracting fermions (bosons). We explore the non-Markovian dynamics by connecting the exact master equations with the nonequilibirum Green's functions. Environmental backactions are fully taken into account. The non-Markovian dynamics consist...

Oscillatory dynamics and non-Markovian memory in dissipative quantum systems.

The nonequilibrium dynamics of a small quantum system coupled to a dissipative environment is studied. We show that (i) the oscillatory dynamics close to a coherent-to-incoherent transition is significantly different from the one of the classical damped harmonic oscillator and that (ii) non-Markovian memory plays a prominent role in the time evolution after a quantum quench.