Quantum integrability and nonintegrability in the spin-boson model

We study the spectral properties of a spin-boson Hamiltonian that depends on two continuous parameters $0\leq\Lambda<\infty$ (interaction strength) and $0\leq\alpha\leq\pi/2$ (integrability switch). In the classical limit this system has two distinct integrable regimes, $\alpha=0$ and $\alpha=\pi/2$. For each integrable regime we can express the quantum Hamiltonian as a function of two action operators. Their eigenvalues (multiples of $\hbar$) are the natural quantum numbers for the complete level spectrum. This functional dependence cannot be extended into the nonintegrable regime $(0<\alpha<\pi/2)$. Here level crossings are prohibited and the level spectrum is naturally described by a single (energy sorting) quantum number. In consequence, the tracking of individual eigenstates along closed paths through both regimes leads to conflicting assignments of quantum numbers. This effect is a useful and reliable indicator of quantum chaos -- a diagnostic tool that is independent of any level-statistical analysis

Entanglement, fidelity, and quantum-classical correlations with an atom walking in a quantized cavity field

Stability and instability of quantum evolution are studied in the interaction between a two-level atom with photon recoil and a quantized field mode in an ideal cavity, the basic model of cavity quantum electrodynamics (QED). It is shown that the Jaynes-Cummings dynamics can be unstable in the regime of chaotic walking of the atomic center-of-mass in the quantized field of a standing wave in the absence of any kind of interaction with environment. This kind of quantum instability manifests itself in strong variations of reduced quantum purity and entropy, correlating with the respective classical Lyapunov exponent, and in exponential sensitivity of fidelity of quantum states to small variations in the atom-field detuning. The connection between quantum entanglement and fidelity and the center-of-mass motion is clarified analytically and numerically for a few regimes of that motion. The results are illustrated with two specific initial field states: the Fock and coherent ones. Numerical experiments demonstrate various manifestations of the quantum-classical correspondence, including dynamical chaos and fractals, which can be, in principle, observed in real experiments with atoms and photons in high finesse cavities

Dipolar ground state of planar spins on triangular lattices

An infinite triangular lattice of classical dipolar spins is usually considered to have a ferromagnetic ground state. We examine the validity of this statement for finite lattices and in the limit of large lattices. We find that the ground state of rectangular arrays is strongly dependent on size and aspect ratio. Three results emerge that are significant for understanding the ground state properties: i) formation of domain walls is energetically favored for aspect ratios below a critical valu e; ii) the vortex state is always energetically favored in the thermodynamic limit of an infinite number of spins, but nevertheless such a configuration may not be observed even in very large lattices if the aspect ratio is large; iii) finite range approximations to actual dipole sums may not provide the correct ground sta te configuration because the ferromagnetic state is linearly unstable and the domain wall energy is negative for any finite range cutoff.Comment: Several short parts have been rewritten. Accepted for publication as a Rapid Communication in Phys. Rev.

Spin melting and refreezing driven by uniaxial compression on a dipolar hexagonal plate

We investigate freezing characteristics of a finite dipolar hexagonal plate by the Monte Carlo simulation. The hexagonal plate is cut out from a piled triangular lattice of three layers with FCC-like (ABCABC) stacking structure. In the present study an annealing simulation is performed for the dipolar plate uniaxially compressed in the direction of layer-piling. We find spin melting and refreezing driven by the uniaxial compression. Each of the melting and refreezing corresponds one-to-one with a change of the ground states induced by compression. The freezing temperatures of the ground-state orders differ significantly from each other, which gives rise to the spin melting and refreezing of the present interest. We argue that these phenomena are originated by a finite size effect combined with peculiar anisotropic nature of the dipole-dipole interaction.Comment: Proceedings of the Highly Frustrated Magnetism (HFM2006) conference. To appear in a special issue of J. Phys. Condens. Matte

Synchronization and bistability of qubit coupled to a driven dissipative oscillator

We study numerically the behavior of qubit coupled to a quantum dissipative driven oscillator (resonator). Above a critical coupling strength the qubit rotations become synchronized with the oscillator phase. In the synchronized regime, at certain parameters, the qubit exhibits tunneling between two orientations with a macroscopic change of number of photons in the resonator. The life times in these metastable states can be enormously large. The synchronization leads to a drastic change of qubit radiation spectrum with appearance of narrow lines corresponding to recently observed single artificial-atom lasing [O. Astafiev {\it et al.} Nature {\bf 449}, 588 (2007)].Comment: revtex 4 pages, 6 figs, research at http://www.quantware.ups-tlse.fr

Peculiar from-Edge-to-Interior Spin Freezing in a Magnetic Dipolar Cube

By molecular dynamics simulation, we have investigated classical Heisenberg spins, which are arrayed on a finite simple cubic lattice and interact with each other only by the dipole-dipole interaction, and have found its peculiar it from-Edge-to-interior freezing process. As the temperature is decreased, spins on each edge predominantly start to freeze in a ferromagnetic alignment parallel to the edge around the corresponding bulk transition temperature, then from each edges grow domains with short-range orders similar to the corresponding bulk orders, and the system ends up with a unique multi-domain ground state at the lowest temperature. We interpret this freezing characteristics is attributed to the anisotropic and long-range nature of the dipole-dipole interaction combined with a finite-size effect.Comment: 11 pages 5 figure

Influence of agricultural technologies on the morphological properties of chernozems

A comparative assessment of the morphological properties of typical and ordinary chernozems using traditional technology of field crops cultivation with soil treatment and no-till revealed trends in morphological properties changing over time and space. After using no-till on typical chernozems of the Kursk region for 4 years, there was a tendency to increase in humus horizons A and A + AB thickness and in the level of carbonate detection line (10% HCl reaction), which uprose closer to the soil surface. In ordinary chernozems of Stavropol after 7 years of using no-till, this trend is typical only of A + AB horizon. When plowing chernozems, there is a trend to deeper carbonate accumulation level. The gradual accumulation and decomposition of crop residues on the soil surface, which play an important role in wind erosion protection, and less intensive evaporation over time leads to an increase in the thickness of humus horizons and the content of organic matter. The results obtained are indicative of the initialization of morphological properties transformation in chernozems when no-till is used. The decrease in the thickness of the humus horizon on arable lands in Stavropol region results from deflation caused by both numerous soil treatments and a specific wind regime, and direct sowing has demonstrated positive results in the fight against wind erosion processes. When no-till technology is used, chernozems acquire natural features typical of them – variability of properties, i. e. the initial heterogeneity of soil cover, which determines the sustainability of soils in natural ecosystem

Dynamics of soil formation factors and their influence on agricultural technology in the Kamennaya Steppe

The analysis of long-term observations in the Kamennaya Steppe (over 125 years) for climatic parameters (air temperature and precipitation), ground water level, vegetation species composition revealed the main trends in their variability. Since 1969 there has been an increase in temperature and a reduction in temperature fluctuation during the year. Over the last 30 years, the difference has reached 1.90, and over the last decade it has grown by 0.40 due to the cold season. The amount of precipitation over the same 50-year period has not changed much. In total, an increase of 45 mm was observed over the decade (1999-2008). In the XXI century, there has been registered an increase in the amount of precipitation in the cold season by 12.7% and a decrease in the warm season, which creates certain prerequisites for climate continentality mitigation during the annual cycle. During the first 70 years of observations, the groundwater level in the well No. 1 was on average at the depth of 6.5 m (5.7-7.3 m). At the end of the XX century and at the beginning of the XXI century, there was marked a pronounced rise in the ground water level, the average depth was 3.8 m, which coincided with the growth of average annual temperature and an increase in total rainfall. In this period changes in the long-term regime of ground and surface soil moisture resultedin expanding the area of wetlands and hydromorphic soils on the territory of the steppe. The period of 2009-2018 is characterized by a continued increase in average annual temperatures and a decrease in precipitation, which may lead to a seasonal change in temperature and precipitation to milder and wetter winters and warmer and drier summers. Transformation of vegetation for 100 years of observations had several stages with a general trend to change the steppe grasslands to meadow-steppe, shrubs and woody species

Soil cover structure and transformation of morphometric parameters of Haplic Chernozems under no-tillage

The results of the field experiment have been analyzed, it was set up on two experimental fields (with an area of 2.4 hectares each), where two different agricultural techniques – traditional and no-till – were applied. Diagnostics of morphometric parameters of typical chernozems such as: the thickness of the A1 horizon, A1 + AB horizons and the depth of carbonates reaction with 10% HCl, has shown that some changes in soils and soil cover had occurred in the fields over 8 years. The integral indicator of soil productivity is the thickness of the humus horizon, it demonstrated trends to decrease and increase in the soil cover structure of the experimental fields with different compositions of chernozem subtypes. The trends result from both climate change and periodic dry periods, which are not typical of the region, and from the change of traditional technology to no-till. The carbonates leaching from chernozem profiles in all variants of the experiment decreased, which correlates well with climatic indicators, changing with the seasons of the year. Chernozems with thin humus layaer and reacting with HCl close to the surface do not require liming. The revealed changes are not statistically significant, they reflect the resistance of chernozems to the variability of natural and anthropogenic factors of soil formation. Crop residues on the soil surface under no-tillage reduce physical evaporation, which contributes to moisture accumulation in the soil. The use of cover crops in winter also increases the moisture reserves, which are consumed by the plants during the summer growing season. Information on the transformation of morphometric parameters allows making temporal and spatial corrections in the applied agricultural practices (crop rotation, fertilization, the use of cover crops, herbicides and pesticides)

Влияние пыли перегружаемых в портах опасных навалочных грузов на санитарно-экологическое состояния почв припортовых городов причерноморья = Influence of dust transferred into ports of dangerous cargos for bulk sanitary-ecological condition of soils port urban Black Sea

Belobrov E. P., Zambriborshch M. S., Sidorenko S. G., Zukow W. Влияние пыли перегружаемых в портах опасных навалочных грузов на санитарно-экологическое состояния почв припортовых городов причерноморья = Influence of dust transferred into ports of dangerous cargos for bulk sanitary-ecological condition of soils port urban Black Sea. Journal of Education, Health and Sport. 2015;5(7):604-619. ISSN 2391-8306. DOI http://dx.doi.org/10.5281/zenodo.62038http://ojs.ukw.edu.pl/index.php/johs/article/view/3847  Deklaracja.Specyfika i zawartość merytoryczna czasopisma nie ulega zmianie.Zgodnie z informacją MNiSW z dnia 2 czerwca 2014 r., że w roku 2014 nie będzie przeprowadzana ocena czasopism naukowych; czasopismo o zmienionym tytule otrzymuje tyle samo punktów co na wykazie czasopism naukowych z dnia 31 grudnia 2014 r.The journal has had 5 points in Ministry of Science and Higher Education of Poland parametric evaluation. Part B item 1089. (31.12.2014).© The Author (s) 2015;This article is published with open access at Licensee Open Journal Systems of Kazimierz Wielki University in Bydgoszcz, Poland and Radom University in Radom, PolandOpen Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited.This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non commercialuse, distribution and reproduction in any medium, provided the work is properly cited.The authors declare that there is no conflict of interests regarding the publication of this paper.Received: 20.06.2015. Revised 15.07.2015. Accepted: 25.07.2015.  Влияние пыли перегружаемых в портах опасных навалочных грузов на санитарно-экологическое состояния почв припортовых городов Причерноморья Е. П. Белобров, М. С. Замбриборщ, *С. Г. Сидоренко, **В. А. Жуков Украинский НИИ медицины транспорта Минздрава Украины, Одесса*Главное управление Госсанэпидслужбы в Кировоградской области,Кировоград**UKW, Bydgoszcz, Poland РефератПочва является одним из основных концентраторов химических загрязняющих веществ, включая тяжелые металлы, которые при избыточном содержании проявляют свои токсические свойства. Они являются генетическими ядами, поскольку, попадая в организм, аккумулируются с отдаленным эффектом действия. Одним из наиболее токсичных металлов является свинец, данный элемент относится к первому классу опасности.Авторы провели санитарно-экологическую оценку состояния почв прибрежно-береговых территорий в условиях воздействия пыли навалочных грузов, перегружаемых в морских портах Одесского региона – Ильичевска, Одессы, Южного.Пыль различных грузов представляет потенциальную опасность, которую необходимо учитывать при проведении перегрузочных работ. Кроме того, разница в агрегатном состоянии дисперсных частиц, влажности и других физико-химических характеристик имеют не только технологическое, но и эколого-геохимическое значение для почв. Так как большинство вредных примесей и компонентов находятся в аэрозольной фазе, для предупреждения пылеобразования следует учитывать  процентное содержание пылевой фракции в грузах.Изучение почв и их химического состава в районах активных перевалочно-насыпных работ на территории, прилегающей к портам городов Одессы, Южного и Ильичевска, показало, что происходит аккумулирование тяжелых металлов и других загрязняющих элементов и веществ в верхних слоях почвы, что ведет к повышению экологической нагрузки на почву.Ключевые слова: почва, припортовые территории, тяжелые металлы, опасные грузы INFLUENCE OF DUST transferred into PORTS OF DANGEROUS cargoS FOR BULK sanitary-ecological condition of soils Port URBAN BLACK SEA E. P. Belobrov, M. S. Zambriborshch, *S. G. Sidorenko, **W. Zukow Ukrainian Scientific Research Institute of Transport Medicine of Ministry of Health of Ukraine, Odessa*General Directorate GosSanEpidemNadzor in Kirovograd region,Kirovograd**KWU, Bydgoszcz, Poland AbstractSoil is one of the main hubs of chemical contaminants, including heavy metals, which when excessive content exert their toxic properties. They are genetic poisons, because getting into the body, with accumulated long-term effects of action. One of the toxic metal is lead, the element belongs to the first class of hazard.The authors conducted a sanitary and environmental assessment of soil-shore coastal areas under the impact of dust bulk cargo transhipped at sea ports ofOdessaregion - Ilyichevsk,Odessa, Southern.Dust various cargoes is a potential danger that must be taken into account during the transfer operations. In addition, the difference in the state of aggregation of dispersed particles, humidity and other physical and chemical characteristics are not only technological, but also ecological and geochemical significance for soil. Since most of the impurities and harmful components are in phase, aerosol, to prevent dust formation should be considered dust fraction percentage in loads.The study of soils and their chemical composition in areas of active transshipment and bulk of work on the territory adjacent to the port city of Odessa, the Southern and Ilyichevsk, has shown that there is accumulation of heavy metals and other polluting elements and substances in the upper layers of the soil, which leads to an increase in the environmental load soil.Keywords: soil, territory near ports, heavy metals, dangerous cargo