Irreversible quantum evolution with quadratic generator

AE Teretenkov - … Analysis, Quantum Probability and Related Topics, 2019 - World Scientific
We review results on GKSL-type equations with multi-modal generators which are quadratic
in bosonic or fermionic creation and annihilation operators. General forms of such equations …

Effective Heisenberg equations for quadratic Hamiltonians

AE Teretenkov - International Journal of Modern Physics A, 2022 - World Scientific
In this paper, we discuss effective quantum dynamics obtained by averaging projector with
respect to free dynamics. For unitary dynamics generated by quadratic fermionic …

Theory of relaxation and pum** of quantum oscillator non-resonantly coupled with the other oscillator

AI Trubilko, AM Basharov - Physica Scripta, 2020 - iopscience.iop.org
The paper shows mechanisms of both the pum** and energy decay of
an'isolated'oscillator. The oscillator is only coupled non-resonantly with the adjacent …

Pseudomode approach and vibronic non-Markovian phenomena in light-harvesting complexes

AE Teretenkov - Proceedings of the Steklov Institute of Mathematics, 2019 - Springer
The pseudomode approach is discussed, with emphasis on the Gorini-Kossakowski-
Sudarshan-Lindblad form of this approach. The connection of the pseudomode approach …

Exact dynamics of moments and correlation functions for GKSL fermionic equations of Poisson type

IA Nosal', AE Teretenkov - Mathematical Notes, 2020 - Springer
In the present paper, we obtain both a fermionic analog of results from [1] and a new result
concerning multitime ordered correlation functions. The latter is important due to present-day …

Dynamics of moments of arbitrary order for stochastic Poisson squeezings

AE Teretenkov - arxiv preprint arxiv:1909.10454, 2019 - arxiv.org
arxiv:1909.10454v2 [quant-ph] 24 Jan 2020 Page 1 arxiv:1909.10454v2 [quant-ph] 24 Jan
2020 Dynamics of moments of arbitrary order for stochastic Poisson squeezings AE …

Quadratic dissipative evolution of Gaussian states with drift

AE Teretenkov - Mathematical Notes, 2017 - Springer
The solution of the Cauchy problem for the Gorini–Kossakowski–Sudarshan–Lindblad
equation describing the irreversible quantum evolution of an n-particle system with a …

Higher order moments dynamics for some multimode quantum master equations

IA Nosal, AE Teretenkov - Lobachevskii Journal of Mathematics, 2022 - Springer
We derive Heisenberg equations for arbitrary high order moments of creation and
annihilation operators in the case of the quantum master equation with a multimode …

Quadratic fermionic dynamics with dissipation

AE Teretenkov - Mathematical Notes, 2017 - Springer
Gaussian solutions of the Cauchy problem for the GKS-L equation (in the Schrödinger
picture) with quadratic fermionic generators are obtained. These Gaussian solutions are …

On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures

GG Amosov, EL Baitenov, AN Pechen - Quantum Information Processing, 2023 - Springer
In this work, we show the ability to restore states of quantum systems from evolution induced
by quantum dynamical semigroups perturbed by covariant measures. Our procedure …