New relations in the algebra of the Baxter Q-operators

We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model. In roots of unity the Baxter Q-operator can be represented as a trace of a tensor product of L-operators corresponding to one of these cyclic representations and satisfies the TQ-equation. We find a new algebraic structure generated by these L-operators and, as a consequence, by the Q-operators.Comment: 35 pages, LaTe

Peculiarities of photon echo in extended crystals of ruby

The signals of primary and backward photon-echo (PE) in extended crystals of ruby were observed. The peculiarities of PE formation in these resonant media were also investigated. Conditions of excitation were not changed for crystals with various length. It was found that duration of echo-signals was increased with increasing of the sample length

Application of geochemical model for monitoring the superviscous oil deposits development by the thermal steam methods

Heavy oil and natural bitumen deposits development is especially relevant nowadays. One of the highly efficient techniques for the development of such deposits is the steam-assisted gravity drainage (SAGD) method. This work has two main objectives. The first is to build the geochemical model of a deposit on vertical and horizontal gradients of the relative content of biomarkers. And the second is to assess the feasibility of applying the derived model to monitor the development of superviscous oil deposits in the Karmalskiy deflection of the Cheremshanskoye deposit, where the SAGD technology is currently applied. The experimental part of work consists of the extraction of 35 core samples from the 8 oil well pumps, extraction of the saturated factions from the bitumen and the gas chromatography-mass spectrometry (GCMS) analysis of the selected factions in the TIC mode. The relative concentration of 6H-Farnesol (HHF) to Phytane (Ph) was selected as a simulation parameter. Laboratory studies have shown that the HHF/Ph ratio is shown in horizontal and vertical gradients due to biodegradation of the organic matter throughout the whole studied area. It is also noted that in almost all wells there is a sharp increase in the HHF/Ph value at the bottom of the productive layer at a depth of 150 to 160 meters, where the most intense biodegradation of the organic matter occurs. Laboratory studies have shown that the HHF/Ph ratio is stable in the context of hydrothermal processing under pressure, which indicates that it can be measured in the superviscous oil produced by the SAGD method for subsequent comparison with the geochemical model. Based on the constructed model and measured HHF/Ph ratios in the extracted superviscous oil, authors have assessed the likely ways of its tributaries to the extractive wells

Geochemical modeling with the use of vertical and horizontal relative concentrations of oil compounds for the heavy oil fields

© 2018 Taylor & Francis Group, LLC. The purpose of this study is to detect lateral and vertical gradients of relative concentrations of compounds presented in oil, which allows assessing potential drainage zones in the reservoir during the reservoir production by steam injection. In this research new method for monitoring of steam chamber development in 2D model was created and tested. Methodology: Total hydrocarbon fraction was isolated from core extracts and analyzed by GCMS method (TIC) for detection of various compounds and assessment of lateral and vertical gradients of their concentration in lateral. It was found that the ratio of 4- and 1-methyldibenzothiophenes (MDBT) changes in lateral and in vertical directions. These changes are caused by biodegradation of organic matter. Laboratory research shows that 1-MDBT/4-MDBT ratio in native reservoir rocks is stable under high temperatures and pressure and can be easily measured by GC-MS. This measurement will allow assessment of location and direction of steam chamber propagation. In recent work the authors have developed geochemical model which can be used for assessment of oil flow directions during the development of heavy oil fields by SAGD method

Genome assembly using quantum and quantum-inspired annealing

Recent advances in DNA sequencing open prospects to make whole-genome analysis rapid and reliable, which is promising for various applications including personalized medicine. However, existing techniques for {\it de novo} genome assembly, which is used for the analysis of genomic rearrangements, chromosome phasing, and reconstructing genomes without a reference, require solving tasks of high computational complexity. Here we demonstrate a method for solving genome assembly tasks with the use of quantum and quantum-inspired optimization techniques. Within this method, we present experimental results on genome assembly using quantum annealers both for simulated data and the $\phi$X 174 bacteriophage. Our results pave a way for an increase in the efficiency of solving bioinformatics problems with the use of quantum computing and, in particular, quantum annealing. We expect that the new generation of quantum annealing devices would outperform existing techniques for {\it de novo} genome assembly. To the best of our knowledge, this is the first experimental study of de novo genome assembly problems both for real and synthetic data on quantum annealing devices and quantum-inspired techniques.Comment: 9 pages, 4 figure

Features of selecting and structuring Foreign Language Teaching content in Terms of International Component

© 2015 Canadian Center of Science and Education. All rights reserved. Analysis of Russian curricula and textbooks for foreign language demonstrates that most of them don’t meet the requirements of education internationalization. So, the purpose of this paper is to reveal the features of foreign language teaching content selection and structuring based on the international component. The paper reveals the features of foreign language teaching content for students in the context of education internationalization which includes acquisition of knowledge that interprets the main humanity values, touches upon global problems of the modern multicultural world, cross-cultural and socio-cultural knowledge; shaping skills needed for cross-cultural communication, skills to carry out cross-cultural analysis of the interaction ways with the world around as well as formation of transcultural experience. The materials of this paper may be useful for faculty members of vocational training institutions when selecting and structuring the language teaching content as well as for further education courses of foreign language teachers

Correspondence between the XXZ model in roots of unity and the one-dimensional quantum Ising chain with different boundary conditions

We consider the integrable XXZ model with special open boundary conditions that renders its Hamiltonian ${SU(2)}_q$ symmetric, and the one-dimensional quantum Ising model with four different boundary conditions. We show that for each boundary condition the Ising quantum chain is exactly given by the Minimal Model of integrable lattice theory $LM(3, 4)$. This last theory is obtained as the result of the quantum group reduction of the XXZ model at anisotropy $\Delta=(q + q^{-1})/2=\sqrt{2}/2$, with a number of sites in the latter defined by the type of boundary conditions.Comment: 23 pages,LaTeX,3 tables,corrected some typo