Dynamical maps beyond Markovian regime

D Chruściński - Physics Reports, 2022 - Elsevier
Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

On Markovianity and classicality in multilevel spin–boson models

D Chruściński, S Hesabi, D Lonigro - Scientific Reports, 2023 - nature.com
We provide a detailed discussion about the unitary and reduced evolution induced by family
of Hamiltonian models describing a multilevel system, with a ground state and a possibly …

Quantum regression beyond the Born-Markov approximation for generalized spin-boson models

D Lonigro, D Chruściński - Physical Review A, 2022 - APS
The quantum regression formula for an open quantum system consists in an infinite
hierarchy of conditions for its multitime correlation functions, thus requiring full access to the …

Time-convolutionless master equations for composite open quantum systems

AY Karasev, AE Teretenkov - Lobachevskii Journal of Mathematics, 2023 - Springer
In this work we consider the master equations for composite open quantum systems. We
provide purely algebraic formulae for terms of perturbation series defining such equations …

Objectivity of classical quantum stochastic processes

P Szańkowski, Ł Cywiński - Quantum, 2024 - quantum-journal.org
We investigate what can be concluded about a quantum system when sequential quantum
measurements of its observable–a prominent example of the so-called quantum stochastic …

Long-term behaviour in an exactly solvable model of pure decoherence and the problem of Markovian embedding

A Trushechkin - Mathematics, 2023 - mdpi.com
We consider a well-known, exactly solvable model of an open quantum system with pure
decoherence. The aim of this paper is twofold. Firstly, decoherence is a property of open …

Memory tensor for non-Markovian dynamics with random Hamiltonian

AE Teretenkov - Mathematics, 2023 - mdpi.com
In the theory of open quantum systems, the Markovian approximation is very widespread.
Usually, it assumes the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation for …

Generalized spin-boson models with non-normalizable form factors

D Lonigro - Journal of Mathematical Physics, 2022 - pubs.aip.org
Generalized spin-boson (GSB) models describe the interaction between a quantum
mechanical system and a structured boson environment, mediated by a family of coupling …

Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model

A Hahn, D Burgarth, D Lonigro - arxiv preprint arxiv:2409.15743, 2024 - arxiv.org
Dynamical decoupling is a technique aimed at suppressing the interaction between a
quantum system and its environment by applying frequent unitary operations on the system …

Joint measurability in Lindbladian open quantum systems

J Kiukas, P Lahti, JP Pellonpää - Open Systems & Information …, 2023 - World Scientific
We study joint measurability of quantum observables in open systems governed by a master
equation of Lindblad form. We briefly review the historical perspective of open systems and …