Detection of acceleration radiation in a Bose-Einstein condensate

We propose and study methods for detecting the Unruh effect in a Bose-Einstein condensate. The Bogoliubov vacuum of a Bose-Einstein condensate is used here to simulate a scalar field-theory, and accelerated atom dots or optical lattices as means for detecting phonon radiation due to acceleration effects. We study Unruh's effect for linear acceleration and circular acceleration. In particular, we study the dispersive effects of the Bogoliubov spectrum on the ideal case of exact thermalization. Our results suggest that Unruh's acceleration radiation can be tested using current accessible experimental methods.Comment: 5 pages, 3 figure

THE INFLUENCE OF THE DIGITAL ECONOMY ON THE DEVELOPMENT OF THE DOMESTIC ECONOMY

The article examines the problems and prospects for the development of the digital economy in Ukraine. The current trends of new technological solutions and opportunities are identified, because global informatization intensifies this process. The effective use of digital economy tools, the means of which is to ensure information security and stability in the country, is described.The article examines the problems and prospects for the development of the digital economy in Ukraine. The current trends of new technological solutions and opportunities are identified, because global informatization intensifies this process. The effective use of digital economy tools, the means of which is to ensure information security and stability in the country, is described

Technological and methodical aspects of representation of the educational mathematical information in digital educational resources

В статье поднимаются вопросы организации математической информации на экране монитора ПК. Проводится сравнение бумажных и компьютерных образовательных ресурсов и выявляются причины, тормозящие информатизацию учебного процесса. Даётся представление о концепции, на основе которой создаются компьютерные миниатюры, разрабатываемые авторскими коллективами Визуальной школы (vischool.rxt.ru).In article questions of the organization of the mathematical information on the computer screen are brought up. Comparison of paper and computer educational resources is spent, and the reasons, braking informatization of educational process, are established. Representation the concept, basis of the computer miniatures, is given. These miniatures are created by groups of authors from «Visual school» (vischool.rxt.ru)

СТРУКТУРА И МЕХАНИЧЕСКИЕ СВОЙСТВА СЛИТКОВ И ПРОФИЛЕЙ ИЗ АЛЮМИНИЕВОГО СПЛАВА НА ОСНОВЕ СИСТЕМЫ AL-MG-MN

Commercial ingots and hot-pressed rolled sections of Al-Mg-Mn alloy doped with zinc, scandium, zirconium, chromium, and vanadium have been studied using optical microscopy, thermal analysis, electron microscopy, and electron-probe microanalysis. The compositions of the phase constituents and aluminum matrix of the alloy are determined. The sensitivity of the alloy to the formation of complex intermetallic compounds during solidification is revealed. The mechanical properties of ingots and rolled sections are determined. © 2013 Pleiades Publishing, Ltd

Modes of Oscillation in Radiofrequency Paul Traps

We examine the time-dependent dynamics of ion crystals in radiofrequency traps. The problem of stable trapping of general three-dimensional crystals is considered and the validity of the pseudopotential approximation is discussed. We derive analytically the micromotion amplitude of the ions, rigorously proving well-known experimental observations. We use a method of infinite determinants to find the modes which diagonalize the linearized time-dependent dynamical problem. This allows obtaining explicitly the ('Floquet-Lyapunov') transformation to coordinates of decoupled linear oscillators. We demonstrate the utility of the method by analyzing the modes of a small `peculiar' crystal in a linear Paul trap. The calculations can be readily generalized to multispecies ion crystals in general multipole traps, and time-dependent quantum wavefunctions of ion oscillations in such traps can be obtained.Comment: 24 pages, 3 figures, v2 adds citations and small correction

Interplay between charge-lattice interaction and strong electron correlations in cuprates: phonon anomaly and spectral kinks

We investigate the interplay between strong electron correlations and charge-lattice interaction in cuprates. The coupling between half breathing bond stretching phonons and doped holes in the t-t'-J model is studied by limited phonon basis exact diagonalization method. Nonadiabatic electron-phonon interaction leads to the splitting of the phonon spectral function at half-way to the zone boundary at $\vec{q}_s=\{(\pm \pi / 2, 0), (0, \pm \pi / 2) \}$ and to low energy kink feature in the electron dispersion, in agreement with experimental observations. Another kink due to strong electron correlation effects is observed at higher energy, depending on the strength of the charge-lattice coupling.Comment: 4 pages, 3 figure

Continuous input nonlocal games

We present a family of nonlocal games in which the inputs the players receive are continuous. We study three representative members of the family. For the first two a team sharing quantum correlations (entanglement) has an advantage over any team restricted to classical correlations. We conjecture that this is true for the third member of the family as well.Comment: Journal version, slight modification