We study a driven two-state system interacting with a generic structured environment. We
outline the derivation of the time-local microscopic non-Markovian master equation, in the …

In this paper we present the concept of description of random processes in complex systems
with discrete time. It involves the description of kinetics of discrete processes by means of …

The idea of the timescale invariance of relaxation processes in liquids (Yulmetyev et al 2001
Phys. Rev. E 64 057101; 2002 JETP Lett. 76 147) is used to analyse the short-wave …

On the basis of a representation in terms of photon-number states we derive an analytically
solvable set of ordinary differential equations for the matrix elements of the density operator …

The interplay of femtosecond optical excitation and retarded vibrational relaxation in a
molecular system is studied using the non-Markovian version of the Quantum Master …

We discuss the fundamental role that chaosity and randomness play in the determination of
quality and efficiency of medical treatment. The statistical parameter of non-Markovity from …

Relaxation and decoherence of a qubit coupled to the environment and driven by a resonant
ac field are investigated by analytically solving the Bloch equation of the qubit. We found that …

The non-Markovian version of the quantum master equation (QME) responsible for the time
evolution of a reduced density operator is discussed with emphasis on the influence of …

Non-Markovian dynamics in open quantum systems is characterized by a time-non-locality
in the equation of motion valid for the reduced density operator. An expansion of this density …

The description of a non-Markovian process is presented and the asymptotic solution of the
generalized master equation is obtained for a two-level atom pumped externally by a …