A. E. Teretenkov
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View article: Pseudomode expansion of many-body correlation functions
Pseudomode expansion of many-body correlation functions Open
We present an expansion of a many-body correlation function in a sum of pseudomodes -- exponents with complex frequencies that encompass both decay and oscillations. The pseudomode expansion emerges in the framework of the Heisenberg versi…
View article: Sub-Poissonian Light in a Waveguide Kerr-medium
Sub-Poissonian Light in a Waveguide Kerr-medium Open
Waveguides on a chip represent a new medium for implementing nonlinear optical transformations of light. Modern $\text{Si}_3\text{N}_4$ chip waveguides are attractive due to their high Kerr nonlinearity, suppressed Brillouin scattering on …
View article: Gaussian approximation and its corrections for driven dissipative Kerr model
Gaussian approximation and its corrections for driven dissipative Kerr model Open
We develop a systematic projection-operator technique for constructing Gaussian approximations and their perturbative corrections in bosonic nonlinear models. As a case study, we apply it to the driven dissipative Kerr oscillator. In the a…
View article: Parametric approximation as open quantum systems problem
Parametric approximation as open quantum systems problem Open
In this work we develop an open quantum system view of the parametric approximation, which allows us to obtain systematic perturbative corrections to it. We consider the Jaynes-Cummings model with dissipation, assuming that the field is in…
View article: The formation of Schrodinger cat-like states in the process of spontaneous parametric down-conversion
The formation of Schrodinger cat-like states in the process of spontaneous parametric down-conversion Open
In recent years, there has been an increased interest in the generation of superpositions of coherent states with opposite phases, the so-called photonic Schrodinger cat states. These experiments are challenging, and, so far, cats involvin…
View article: Exact dynamics of quantum dissipative XX models: Wannier-Stark localization in the fragmented operator space
Exact dynamics of quantum dissipative XX models: Wannier-Stark localization in the fragmented operator space Open
We address dissipative dynamics of the one-dimensional nearest-neighbour $XX$\nspin-$1/2$ chain governed by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL)\nequation. In the absence of dissipation the model is integrable. We identify a\nb…
View article: Superoperator master equations for depolarizing dynamics
Superoperator master equations for depolarizing dynamics Open
The work is devoted to superoperator master equations. Namely, the superoperator master equations in the case of the twirling hyperprojector with respect to the whole unitary group are derived. To be consistent with such a hyperprojector t…
View article: Superoperator Master Equations and Effective Dynamics
Superoperator Master Equations and Effective Dynamics Open
We developed the projection method to derive an analog of the quantum master equation for propagators rather than density matrices themselves. As these propagators are superoperators, we call them superoperator master equations. Furthermor…
View article: Quantum sensitivity of squeezed Schrodinger cat states
Quantum sensitivity of squeezed Schrodinger cat states Open
Theoretically it is shown that high quantum sensitivity of the squeezed state of the Schrodinger cat relative to the non-squeezed state can be achieved. For realization of squeezing the Schrodinger cat state, a parametric process in a nonl…
View article: Memory Tensor for Non-Markovian Dynamics with Random Hamiltonian
Memory Tensor for Non-Markovian Dynamics with Random Hamiltonian Open
In the theory of open quantum systems, the Markovian approximation is very widespread. Usually, it assumes the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation for density matrix dynamics and quantum regression formulae for multi-time…
View article: On time-dependent projectors and on generalization of thermodynamical approach to open quantum systems
On time-dependent projectors and on generalization of thermodynamical approach to open quantum systems Open
In this paper, we develop a consistent perturbative technique for obtaining a time-local master equation based on projective methods in the case where the projector depends on time. We then introduce a generalization of the Kawasaki--Gunto…
View article: Time-convolutionless master equations for composite open quantum systems
Time-convolutionless master equations for composite open quantum systems Open
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. We also give conditions under which the Bogolubov-van Hove lim…
View article: Duality between open systems and closed bilayer systems, and thermofield double states as quantum many-body scars
Duality between open systems and closed bilayer systems, and thermofield double states as quantum many-body scars Open
We establish a duality between open many-body systems governed by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation and satisfying the detailed balance condition on the one side, and closed bilayer systems with a self-adjoint Hamil…
View article: On the Diagonalizability and Factorizability of Quadratic Boson Fields
On the Diagonalizability and Factorizability of Quadratic Boson Fields Open
We provide a necessary and sufficient condition on the coefficient
\nmatrices A,C for the diagonalizability of quadratic fields of the form,
\n\\[X =\\sum_{i,j=1}^n (A_{i,j}a^+_i a^+_j+\\overline{A}_{i,j}a_i a_j+C_{i,j}a^+_i a_j)\\]
\nwher…
View article: Effective Gibbs State for Averaged Observables
Effective Gibbs State for Averaged Observables Open
We introduce the effective Gibbs state for the observables averaged with respect to fast free dynamics. We prove that the information loss due to the restriction of our measurement capabilities to such averaged observables is non-negative …
View article: Dynamics of Moments and Stationary States for GKSL Equations of Classical Diffusion Type
Dynamics of Moments and Stationary States for GKSL Equations of Classical Diffusion Type Open
The explicit dynamics of the moments for the GKSL equation and the approach\nin finding stationary Gaussian states are obtained. In our case the GKSL\nequation corresponds to Wiener stochastic processes. Such equations contain a\ndouble co…
View article: Effective Heisenberg equations for quadratic Hamiltonians
Effective Heisenberg equations for quadratic Hamiltonians Open
In this paper, we discuss effective quantum dynamics obtained by averaging projector with respect to free dynamics. For unitary dynamics generated by quadratic fermionic Hamiltonians, we obtain effective Heisenberg dynamics. By perturbativ…
View article: Higher order moments dynamics for some multimode quantum master equations
Higher order moments dynamics for some multimode quantum master equations Open
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 generator which is quadratic in creation and annihilation operators and obta…
View article: Moments dynamics and stationary states for classical diffusion-type GKSL equations
Moments dynamics and stationary states for classical diffusion-type GKSL equations Open
The explicit dynamics of the moments for the GKSL equation and the approach in finding stationary Gaussian states are obtained. In our case the GKSL equation corresponds to Wiener stochastic processes. Such equations contain a double commu…
View article: Effective Heisenberg equations for quadratic Hamiltonians
Effective Heisenberg equations for quadratic Hamiltonians Open
We discuss effective quantum dynamics obtained by averaging projector with respect to free dynamics. For unitary dynamics generated by quadratic fermionic Hamiltonians we obtain effective Heisenberg dynamics. By perturbative expansions we …
View article: Effective Gibbs state for averaged observables
Effective Gibbs state for averaged observables Open
We consider the effective Gibbs state for averaged observables. In particular, we perturbatively calculate the correspondent effective Hamiltonian. We show that there are a lot of similarities between this effective Hamiltonian and the mea…
View article: Dissipative evolution of quantum Gaussian states
Dissipative evolution of quantum Gaussian states Open
Recent works on quantum resource theories of non-Gaussianity, which are based upon the type of tools available in contemporary experimental settings, put Gaussian states and their convex combinations on equal footing. Motivated by this, in…
View article: Non-perturbative effects in corrections to quantum master equations arising in Bogolubov–van Hove limit
Non-perturbative effects in corrections to quantum master equations arising in Bogolubov–van Hove limit Open
We study the perturbative corrections to the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation which arises in the weak coupling limit. The spin-boson model in the rotating wave approximation at zero temperature is considered. We show …
View article: Non-perturbative effects in Bogolubov-van Hove approach to quantum master equation corrections
Non-perturbative effects in Bogolubov-van Hove approach to quantum master equation corrections Open
We study the perturbation expansion near the Bogolubov-van Hove limit, where
a small parameter is introduced both in the coupling constant and in the time.
We show that such a perturbation theory is singular. In particular, we show
that th…
View article: Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels
Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels Open
We obtain several analogs of real polar decomposition for even dimensional matrices. In particular, we decompose a non-degenerate matrix as a product of a Hamiltonian and an anti-symplectic matrix and under additional requirements we decom…
View article: Integral representation of finite temperature non-Markovian evolution of some RWA systems
Integral representation of finite temperature non-Markovian evolution of some RWA systems Open
We introduce the Friedrichs model at finite temperature which is one- and zero-particle restriction of spin-boson in the rotating wave approximation and obtain the population of the excited state for this model. We also consider the oscill…
View article: Irreversible quantum evolution with quadratic generator: Review
Irreversible quantum evolution with quadratic generator: Review Open
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 are presented. The Gaussian solutions are obtained in ter…
View article: Pseudomode Approach and Vibronic Non-Markovian Phenomena in Light-Harvesting Complexes
Pseudomode Approach and Vibronic Non-Markovian Phenomena in Light-Harvesting Complexes Open
The pseudomode approach is discussed with an emphasis to Gorini-Kossakowski-Sudarshan-Lindblad form of this approach. The connection of the pseudomode approach with solutions of both the Friedrichs model and Jaynes-Cummings model with diss…