output
20132022
most citedCoupled harmonic oscillators and their quantum entanglement

71 citations

16 papers

physics.geo-ph2022★ 11 cited

Device for the Field Measurements of Frequency-Dependent Soil Properties in the Frequency Range of Lightning Currents

Dmitry Kuklin

Existing approaches for the field measurements of the frequency-dependent soil properties take a significant amount of time, making it difficult to obtain new experimental data and…

physics.optics2019★ 6 cited

Atom ionization by ultrashort laser pulse - 2D, 3D consideration

Nikolay V. Larionov, Dmitry N. Makarov, Alexander A. Smirnovsky

We theoretically analyze the quantum vortices - the zeros of electron wave function which are formed through atom ionization by ultrashort laser pulse. In 2D space we consider the…

physics.optics2018★ 12 cited

Optical-mechanical cooling of a charged resonator

Dmitry N Makarov

One of the most effective methods for cooling micro and nano devices to ultra low temperatures is the sideband method. Currently, this approach is being studied experimentally and…

math.SP2018

Invariants for Laplacians on periodic graphs

E. Korotyaev, N. Saburova

We consider a Laplacian on periodic discrete graphs. Its spectrum consists of a finite number of bands. In a class of periodic 1-forms, i.e., functions defined on edges of the peri…

physics.atom-ph2017★ 1 cited

New-Type Internal Target for Structural Ion Stripping

D. N. Makarov, V. I. Matveev

The search is now on for, new materials that can be used for ionic stripping. Materials that maximize the stripping of the structural ion are important for conducting experiments w…

quant-ph2017★ 71 cited

Coupled harmonic oscillators and their quantum entanglement

Dmitry Makarov

A system of two coupled quantum harmonic oscillators with the Hamiltonian ${\hat H}=\frac{1}{2}\left(\frac{1}{m_1}{\hat p}^{2}_1 + \frac{1}{m_2}{\hat p}^{2}_2+A x^2_1+B x^2_2+ C x_…

math.SP2017★ 13 cited

Spectral estimates for Schrödinger operators on periodic discrete graphs

E. Korotyaev, N. Saburova

We consider normalized Laplacians and their perturbations by periodic potentials (Schrödinger operators) on periodic discrete graphs. The spectrum of the operators consists of an a…

physics.atom-ph2017★ 9 cited

Quantum dynamics of a hydrogen-like atom in a time-dependent box: non-adiabatic regime

S. Rakhmanov, D. Matrasulov, V. I. Matveev

We consider a hydrogen atom confined in time-dependent trap created by a spherical impenetrable box with time-dependent radius. For such model we study the behavior of atomic elect…

math.SP2017

Laplacians on periodic graphs with guides

Evgeny Korotyaev, Natalia Saburova

We consider Laplace operators on periodic discrete graphs perturbed by guides, i.e., graphs which are periodic in some directions and finite in other ones. The spectrum of the Lapl…

physics.optics2016★ 13 cited

High intensity generation of entangled photons in a two-mode electromagnetic field

D. N. Makarov

At present, the sources of entangled photons have a low rate of photon generation. This limitation is a key component of quantum informatics for the realization of such functions a…

math.SP2015

Deficiency numbers of operators generated by infinite Jacobi matrices

I. N. Braeutigam, K. A. Mirzoev

Let be matrices, whose elements are complex numbers, are selfadjoint matrices and exist. We study the deficiency index prob…

math.SP2015★ 20 cited

Scattering on periodic metric graphs

Evgeny Korotyaev, Natalia Saburova

We consider the Laplacian on a periodic metric graph and obtain its decomposition into a direct fiber integral in terms of the corresponding discrete Laplacian. Eigenfunctions and…

q-bio.MN2014★ 39 cited

Stability analysis of a model gene network links aging, stress resistance, and negligible senescence

Valeria Kogan, Ivan Molodtcov, Leonid I. Menshikov +2

Several animal species are considered to exhibit what is called negligible senescence, i.e. they do not show signs of functional decline or any increase of mortality with age, and…

math.SP2014

Estimates of bands for Laplacians on periodic equilateral metric graphs

Evgeny Korotyaev, Natalia Saburova

We consider Laplacians on periodic equilateral metric graphs. The spectrum of the Laplacian consists of an absolutely continuous part (which is a union of an infinite number of non…

cond-mat.stat-mech2013★ 11 cited

Universality of the Berezinskii-Kosterlitz-Thouless type of phase transition in the dipolar XY-model

A. Yu. Vasiliev, A. E. Tarkhov, L. I. Menshikov +2

We investigate the nature of the phase transition occurring in a planar XY-model spin system with dipole-dipole interactions. It is demonstrated that a Berezinskii-Kosterlitz-Thoul…

physics.atom-ph2013★ 2 cited

Polarization Bremsstrahlung in collissions of fast ions with multiatomic targets

M. Ya. Amusia, V. I. Matveev

We consider the processes of polarization bremsstrahlung in collisions of fast ions with linear chains consisting of isolated atoms. We obtained intensities and angular distributio…