Over a decade of work has culminated in the consensus that one-dimensional systems, subject to sufficiently large disorder, fail thermalize and possess an extensive set local integrals motion. In this Letter, I will provide numerical evidence for contrary. particular, studies dynamics disordered spin chains which are weakly coupled Markovian bath. Within approach, critical disorder stability qu...

In this article we address the problem of quantum tunneling of a non-Markovian Brownian particle away from thermal equilibrium. We calculate the Kramers escape rate at low temperature (including the zero temperature case) in the Smoluchowski limit (strong friction regime). Our main findings are: (i) our quantum escape rate is valid far from the thermal equilibrium and is non-Markovian, but it b...

Markov modulated models are often used to model tra c in a network. How well the processes really capture the essentials of real tra c is less known. We review some of these models and apply a number of associated tting methods to an Ethernet tra c in di erent timescales. The tted models are then used as input to a bu er where bu er occupancies are used as a measure of the goodness of the model...

In this work we extend previous results on moment-based characterization and minimal representation of stationary Markovian arrival processes (MAPs) and rational arrival processes (RAPs) to transient Markovian arrival processes (TMAPs) and Markovian binary trees (MBTs). We show that the number of moments that characterize a TMAP of size n with full rank marginal is n2+2n−1, and an MBT of size n...

Abstract In this paper we investigate properties of continuous time chiral quantum walks, which possess complex valued edge weights in the underlying graph structure, together with an initial Gaussian wavefunction spread over a number vertices. We demonstrate that, for certain topology and phase matching conditions, are able to direct flow probability amplitudes specific direction inside networ...

Models that combine Markovian states with implicit geometric state occupancy distributions and semi-Markovian states with explicit state occupancy distributions, are investigated. This type of model retains the flexibility of hidden semi-Markov chains for the modeling of short or medium size homogeneous zones along sequences but also enables the modeling of long zones with Markovian states. The...

In this work we extend previous results on moment-based characterization and minimal representation of stationary Markovian arrival processes (MAPs) and rational arrival processes (RAPs) to transient Markovian arrival processes (TMAPs) and Markovian binary trees (MBTs). We show that the number of moments that characterize a TMAP of size n with full rank marginal is n + 2n − 1, and an MBT of siz...

A stochastic approach to the quantum dynamics randomly modulated in time by a discrete state non-Markovian noise, which possesses an arbitrary nonexponential distribution of the residence times, is developed. The formally exact expression for the Laplace-transformed quantum propagator averaged over the stationary realizations of such N -state non-Markovian noise is obtained. The theory possesse...

A wide class of stochastic processes are described in the non-Markovian Generalized Master Equations (GME) framework [1]. Many techniques are based on the Markovian assumption of weak memory effects [2]. When the theory goes beyond the weak coupling regime or when the intrinsic non-Markovian nature of the bath plays a role, the number of known approaches dramatically drop. We briefly review the...

We present a testing theory for Markovian processes in order to formalize a notion of efficiency which may be useful for the analysis of soft real time systems. Our Markovian testing theory is shown to enjoy close connections with the classical testing theory of De NicolaHennessy and the probabilistic testing theory of Cleaveland-Smolka et al. The Markovian testing equivalence is also shown to ...