Download or read book Order and Disorder and Dynamics in Quantum Spin Systems written by Takashi Tonegawa and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Order and Disorder in Quantum Spin Systems written by Takashi Tonegawa and published by . This book was released on 2002 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Order Disorder and Chaos in Quantum Systems written by Exner and published by Birkhäuser. This book was released on 2013-03-08 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume collects the contributions to the conference "Order, disorder and chaos in quantum systems" which was held at Dubna last October. It is the third meeting in the series started three years ago in which we tried to put together mathematical physicists from the member and non-member countries of JINR with their colleagues from soviet universities and institutes using this international centre as a convenient basis. As in the previous cases, new faces, subj ects and ideas appeared but the spirit remained the same, relaxed and inspirative. Among this conference contributions, a majority should be listed in the "orderly" category. Being more specific, this means mostly various aspects of the theory of Schroedinger operators that has been always a core of quantum mechanics. In spite of the fact that it is studied already for several decades, there are still many interesting problems to solve as some of the lectures collected below witness. At the same time, the theory extends to some new areas motivated by physical problems ; let us mention Schroedinger operators in complicated spatial domains appearing in some parts of solid-state physics or various models using the concept of contact interactions. Our world is far from perfect and to keep a perfect order is difficult not only in everyday life but also in most physical systems. Theoreticians are used to take this fact into account introducing stochastic factors into their considerations.
Download or read book Order And Disorder In Spin Systems written by Yury Kiselev and published by . This book was released on 2017 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of various types of orders and phases of matter in magnetic systems is extremely popular theme in condensed matter physics. Not only frequently applicable in real world, quantum magnetism provides a fruitful and at the same time frequently feasible framework to search for new phases of matter. In this work we study quantum and associated classical phase transitions of spin systems by combinations of numerical and analytical methods. In Chapter 1 we study quantum paramagnets that are a generalization of antiferromagnetic AKLT [2] construction for the spin group SU(N). We map the so called simplex solid state ansatz wavefunction into a partition function of the classical system on the same lattice using coherent state representation. Then we study phase transitions of that classical models via classical Monte Carlo methods to determine properties of the original quantum simplex solid state [3]. In Chapter 2 we are interested in the O(2) model in (2+1)-dimensional system with the dilution, i.e. when some sites are removed from the system. This relativistic O(2) model originates from the description of a transition between superfluid and Mott insulator phases. We study critical properties of the transition using a recently invented [4] worm algorithm. In Chapter 3 we are studying large-N expansion for the symplectic spin group Sp(N). When the original SU(2) spin model proves to be too difficult to be solved, for example at low temperatures, one of the alternative ways is to consider a system based on a more general spin group, for example SU(N) or Sp(N). Results often remain relevant for the original SU(2) group. We are using the mean-field theory approach to find phase transitions associated with the cubic Sp(N) system at large N. Another fundamental question of interest is how different systems behave when they are periodically driven by some external field. Such systems are called Floquet systems, and we will study them in Chapter 4. We will consider interacting and non-interacting systems, that might have a non-conventional type of ordering, topological order.
Download or read book Spin Glasses and Complexity written by Daniel L. Stein and published by Princeton University Press. This book was released on 2013-01-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.
Download or read book An Introduction to Quantum Spin Systems written by John B. Parkinson and published by Springer Science & Business Media. This book was released on 2010-09-20 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of lattice quantum spin systems is a fascinating and by now well established branch of theoretical physics. Based on a set of lectures, this book has a level of detail missing from others, and guides the reader through the fundamentals of the field.
Download or read book Frustrated Spin Systems written by H. T. Diep and published by World Scientific. This book was released on 2013 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can OCo within a single book OCo obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so."
Download or read book Frustrated Spin Systems Third Edition written by Hung-the Diep and published by World Scientific. This book was released on 2020-06-19 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frustrated spin systems have been first investigated five decades ago. Well-known examples include the Ising model on the antiferromagnetic triangular lattice studied by G H Wannier in 1950 and the Heisenberg helical structure discovered independently by A Yoshimori, J Villainn and T A Kaplan in 1959. However, extensive investigations on frustrated spin systems have really started with the concept of frustration introduced at the same time by G Toulouse and by J Villain in 1977 in the context of spin glasses. The frustration is generated by the competition of different kinds of interaction and/or by the lattice geometry. As a result, in the ground state all bonds are not fully satisfied. In frustrated Ising spin systems, a number of spins behave as free spins. In frustrated vector spin systems, the ground-state configuration is usually non-collinear. The ground state of frustrated spin systems is therefore highly degenerate and new induced symmetries give rise to unexpected behaviors at finite temperatures. Many properties of frustrated systems are still not well understood at present. Theoretically, recent studies shown in this book reveal that established theories, numerical simulations as well as experimental techniques have encountered many difficulties in dealing with frustrated systems. In some sense, frustrated systems provide an excellent testing ground for approximations and theories. Experimentally, more and more frustrated materials are discovered with interesting properties for applications.
Download or read book Strong Disorder Renormalization Group Study of Random Quantum Spin Systems written by Kajsa Forsström and published by . This book was released on 2006 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Chaos written by Giulio Casati and published by Cambridge University Press. This book was released on 1995-04-27 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of our understanding of chaotic behaviour in quantum systems.
Download or read book Order Disorder and Chaos in Quantum Systems written by Pavel Exner and published by Birkhäuser. This book was released on 2012-03-14 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume collects the contributions to the conference "Order, disorder and chaos in quantum systems" which was held at Dubna last October. It is the third meeting in the series started three years ago in which we tried to put together mathematical physicists from the member and non-member countries of JINR with their colleagues from soviet universities and institutes using this international centre as a convenient basis. As in the previous cases, new faces, subj ects and ideas appeared but the spirit remained the same, relaxed and inspirative. Among this conference contributions, a majority should be listed in the "orderly" category. Being more specific, this means mostly various aspects of the theory of Schroedinger operators that has been always a core of quantum mechanics. In spite of the fact that it is studied already for several decades, there are still many interesting problems to solve as some of the lectures collected below witness. At the same time, the theory extends to some new areas motivated by physical problems ; let us mention Schroedinger operators in complicated spatial domains appearing in some parts of solid-state physics or various models using the concept of contact interactions. Our world is far from perfect and to keep a perfect order is difficult not only in everyday life but also in most physical systems. Theoreticians are used to take this fact into account introducing stochastic factors into their considerations.
Download or read book Disorder Operators Entanglement Entropies and Dynamic Spectra in Strongly Correlated Quantum Spin Systems written by 赵家瑞 and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Spin Systems on Infinite Lattices written by Pieter Naaijkens and published by Springer. This book was released on 2017-03-20 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom – and quantum spin systems in particular – using the operator algebraic approach. Here, the observables are modeled using elements of some operator algebra, usually a C*-algebra. This text introduces readers to the framework and the necessary mathematical tools without assuming much mathematical background, making it more accessible than advanced monographs. The book also highlights the usefulness of the so-called thermodynamic limit of quantum spin systems, which is the limit of infinite system size. For example, this makes it possible to clearly distinguish between local and global properties, without having to keep track of the system size. Together with Lieb-Robinson bounds, which play a similar role in quantum spin systems to that of the speed of light in relativistic theories, this approach allows ideas from relativistic field theories to be implemented in a quantum spin system. Several related cases are discussed, demonstrating the merits of the operator algebraic approach. Featuring representative worked-out examples and many exercises, this text is primarily targeted at graduate students and advanced undergraduates in theoretical physics or mathematics with a keen interest in mathematical physics. The material provides the necessary background and pointers to start exploring the recent literature. As such, it will also be useful for active researchers seeking a quick and comparatively self-contained introduction to the operator algebraic approach to quantum spin systems.
Download or read book The physics of disordered systems written by Gautam I Menon and published by Springer. This book was released on 2012-03-15 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disordered systems are ubiquitous in nature and their study remains a profound and challenging subject of current research. Ideas and methods from the physics of Disordered systems have been fruitfully applied to several fields ranging from computer science to neuroscience. This book contains a selection of lectures delivered at the 'SERC School on Disordered Systems', spanning topics from classic results to frontier areas of research in this field. Spin glasses, disordered Ising models, quantum disordered systems, structural glasses, dilute magnets, interfaces in random field systems and disordered vortex systems are among the topics discussed in the text, in chapters authored by active researchers in the field, including Bikas Chakrabarti, Arnab Das, Deepak Kumar, Gautam Menon, G. Ravikumar, Purusattam Ray, Srikanth Sastry and Prabodh Shukla. This book provides a gentle and comprehensive introduction to the physics of disordered systems and is aimed at graduate students and young scientists either working in or intending to enter this exciting field. It should also serve as a general reference for students and practicing researchers alike.
Download or read book Quenched Disorder and Competing Interactions in Spin Systems written by Kenneth Chor-Lam Hui and published by . This book was released on 1989 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Condensed Matter Theories written by Heidi Reinholz and published by World Scientific. This book was released on 2007 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series on condensed matter theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists who apply many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. Each individual contribution is preceded by an extended introduction to the topic treated. Useful details not normally presented in journal articles can be found in this volume. Sample Chapter(s). Part A: Fermi Liquids: Pressure Comparison Between the Spherical Cellular Model and the Thomas-Fermi Model (290 KB). Contents: Condensation of Helium in Wedges (E S Hernindez et al.); Pairing in Asymmetrical Fermi Systems (K F Quader & R Liao); Quantum Boltzmann Liquids (K A Gernoth et al.); Fractionally Charged Excitations on Frustrated Lattices (E Runge et al.); On the de HaasOCoVan Alphen Oscillation in 2D (S Fujita & D L Morabito); The Concept of Correlated Density and Its Application (K Morawetz et al.); Pairing of Strongly Correlated Nucleons (W H Dickhoff); KohnOCoSham Calculations Combined with an Average Pair-Density Functional Theory (P Gori-Giorgi & A Savin); Maxent Approach to Qubits (C M Sarris et al.); Ergodic Condition and Magnetic Models (M H Lee); and other papers. Readership: Physicists, chemists and applied mathematicians interested in advanced theories of condensed matter and their applications."
Download or read book Fluctuations and Order written by Mark Millonas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume that you have before you is the result of a growing realization that fluctuations in nonequilibrium systems playa much more important role than was 1 first believed. It has become clear that in nonequilibrium systems noise plays an active, one might even say a creative, role in processes involving self-organization, pattern formation, and coherence, as well as in biological information processing, energy transduction, and functionality. Now is not the time for a comprehensive summary of these new ideas, and I am certainly not the person to attempt such a thing. Rather, this short introductory essay (and the book as a whole) is an attempt to describe where we are at present and how the viewpoint that has evolved in the last decade or so differs from those of past decades. Fluctuations arise either because of the coupling of a particular system to an ex ternal unknown or "unknowable" system or because the particular description we are using is only a coarse-grained description which on some level is an approxima tion. We describe the unpredictable and random deviations from our deterministic equations of motion as noise or fluctuations. A nonequilibrium system is one in which there is a net flow of energy. There are, as I see it, four basic levels of sophistication, or paradigms, con cerning fluctuations in nature. At the lowest level of sophistication, there is an implicit assumption that noise is negligible: the deterministic paradigm.
