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 …
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 …
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 …
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 …
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
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 …
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 …
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 …
equation describing the irreversible quantum evolution of an n-particle system with a …
Higher order moments dynamics for some multimode quantum master equations
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 …
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 …
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
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 …
by quantum dynamical semigroups perturbed by covariant measures. Our procedure …