Download or read book Commuting Squares and Spin Models written by Hong Liang and published by . This book was released on 1995 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Subfactors written by Vaughan F. R. Jones and published by Cambridge University Press. This book was released on 1997-05-15 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subfactors have been a subject of considerable research activity for about 15 years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert space. A new pictorial approach to subfactors is presented in a late ch apter.
Download or read book Infinite Dimensional Geometry Noncommutative Geometry Operator Algebras And Fundamental Interactions Proceedings Of The First Caribbean Spring School Of Mathematics And Theoretical Physics written by Robert Coquereaux and published by World Scientific. This book was released on 1995-06-28 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Exactly Solved Models in Statistical Mechanics written by Rodney J. Baxter and published by Elsevier. This book was released on 2016-06-12 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exactly Solved Models in Statistical Mechanics
Download or read book Quantum Phase Transitions in Transverse Field Spin Models written by Amit Dutta and published by Cambridge University Press. This book was released on 2015-01-28 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transverse field Ising and XY models (the simplest quantum spin models) provide the organising principle for the rich variety of interconnected subjects which are covered in this book. From a generic introduction to in-depth discussions of the subtleties of the transverse field Ising and related models, it includes the essentials of quantum dynamics and quantum information. A wide range of relevant topics has also been provided: quantum phase transitions, various measures of quantum information, the effects of disorder and frustration, quenching dynamics and the Kibble–Zurek scaling relation, the Kitaev model, topological phases of quantum systems, and bosonisation. In addition, it also discusses the experimental studies of transverse field models (including the first experimental realisation of quantum annealing) and the recent realisation of the transverse field Ising model using tunable Josephson junctions. Further, it points to the obstacles still remaining to develop a successful quantum computer.
Download or read book Geometry And Integrable Models Proceedings Of The Workshop written by P N Pyatov and published by World Scientific. This book was released on 1996-04-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are aimed at providing an advanced survey of topics in contemporary theoretical physics: integrable models, geometrical aspects of quantization, quantum groups, W-algebras, exactly solvable models of 2D and higher-dimensional gravity. A special emphasis is made on a deep interplay of algebra, geometry and modern physics.
Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Progress in Many Body Theories written by Raymond F. Bishop and published by World Scientific. This book was released on 2002-12-01 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Its most powerful techniques are truly universal. They are constantly expanding to find new fields of application, while advances continue to be made in the more traditional areas.
Download or read book Computing Boolean Statistical Models written by Paulo Murilo Castro De Oliveira and published by World Scientific. This book was released on 1991-04-24 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Simulation is a very important tool in modern science, playing an intermediate role between theoretical models and experiments. In particular, an important fraction of the human knowledge about critical phenomena and phase transitions is due to computer simulations performed on statistical models. In this text, a class of statistical models that allows parallel processing using conventional hardware is treated using only personal computers. This class of systems is defined on a discrete lattice of points, and every point holds a Boolean variable that can assume only two values, 1 or 0, these can be associated to the logical values true and false respectively. The parallel processing is possible due to the Boolean operations AND, OR, XOR (for exclusive OR) and NOT provided by any digital computer.The strategy shown in the text consists of storing the state of the system bit by bit in computer words (each one with 16 bits in our personal computer) and processing them in parallel through fast bitwise logical operations. Using this strategy, various problems like the exact computation of the thermodynamic properties of small systems (for real space renormalization group calculations) and the Monte-Carlo simulation of uniform ferromagnets, spin glasses, and related models is treated. An interesting application of those calculations is an annealed square lattice spin glass where ferro and antiferromagnetic bonds are allowed to migrate along the lattice, used for testing an entropy-induced mechanism of charge pairing recently proposed for ceramic superconduc-tors. Some cellular automata rules are also treated by the same method. Fully connected neural networks with more than 108 synapses were simulated (the largest simulation up to now, as far as we know) and processed by our PC in a few minutes. Applications of large neural network simulations are also presented.
Download or read book Excitation Spectra of Square Lattice Antiferromagnets written by Bastien Dalla Piazza and published by Springer. This book was released on 2016-01-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a qualitative advance in our understanding of quantum effects in layered magnetic materials. The nearest neighbor Heisenberg ferromagnetic ranks among the oldest and most fundamental models of quantum many body effects. It has long been established that in one dimension quantum fluctuations lead to a quantum disordered ground state with fractional excitations called spinons." In two dimensions, the ground state of the Heisenberg model displays static order and to first approximation the dynamics can be described as semi-classical spin waves. Through theoretical advances the author demonstrates that at high energy around particular points in reciprocal space these semi-classical spin-waves deconfine into fractional excitations akin to the one-dimensional spinons. He thereby provides the first explanation of a long-standing experimental observation. In the second half of his thesis Bastien Dalla Piazza develops a unified description of the magnetic excitation spectra of a range of cuprate parent compounds to the high temperature superconductors.
Download or read book Statistical Mechanics written by Avijit Lahiri and published by Universities Press. This book was released on 2002-11 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a basic, introductory-level textbook aimed at enabling the student to understand the basic of the subject. Statical mechanics is basically applied quatum mechanics, involving situations where the wave functions of systems under consideration are incompletely known, necessitating the introduction of ensembles and probabilities.
Download or read book Gravity Particles and Space time written by Petr Ivanovich Pronin and published by World Scientific. This book was released on 1996 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises original and review articles on the frontier problems of the gravitation theory, theoretical and mathematical physics. The volume is dedicated to the memory of Professor Dmitri Ivanenko who made the great contribution to the physical science of the twentieth century.
Download or read book Advanced Statistical Mechanics written by Barry M McCoy and published by Oxford University Press, USA. This book was released on 2010 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: McCoy presents the advances made in statistical mechanics over the last 50 years, including mathematical theorems on order and phase transitions, numerical and series computations of phase diagrams and solutions for important solvable models such as Ising and 8 vortex.
Download or read book Yang baxter Equation In Integrable Systems written by Michio Jimbo and published by World Scientific. This book was released on 1990-03-01 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions./a
Download or read book Introduction to Topological Quantum Matter Quantum Computation written by Tudor D. Stanescu and published by CRC Press. This book was released on 2016-12-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is "topological" about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation? Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture, this book is ideal for graduate students and researchers entering this field as it allows for the fruitful transfer of paradigms and ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and emphasizes the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the torric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems. Quantum computation is also presented using a broad perspective, which includes fundamental aspects of quantum mechanics, such as Bell's theorem, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and elements of classical and quantum information theory.
Download or read book Topological Quantum written by Steven H. Simon and published by Oxford University Press. This book was released on 2023-09-29 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the intersection of physics, mathematics, and computer science, an exciting new field of study has formed, known as “Topological Quantum.” This research field examines the deep connections between the theory of knots, special types of subatomic particles known as anyons, certain phases of matter, and quantum computation. This book elucidates this nexus, drawing in topics ranging from quantum gravity to topology to experimental condensed matter physics. Topological quantum has increasingly been a focus point in the fields of condensed matter physics and quantum information over the last few decades, and the forefront of research now builds on the basic ideas presented in this book. The material is presented in a down-to-earth and entertaining way that is far less abstract than most of what is in the literature. While introducing the crucial concepts and placing them in context, the subject is presented without resort to the highly mathematical category theory that underlies the field. Requiring only an elementary background in quantum mechanics, this book is appropriate for all readers, from advanced undergraduates to the professional practitioner. This book will be of interest to mathematicians and computer scientists as well as physicists working on a wide range of topics. Those interested in working in these field will find this book to be an invaluable introduction as well as a crucial reference.
Download or read book Modern Quantum Theory written by Reinhold Bertlmann and published by Oxford University Press. This book was released on 2023-10-05 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades quantum theory has experienced an extensive revival owing to the rapid development of quantum information and quantum technologies. Based on a series of courses taught by the authors, the book takes the reader on a journey from the beginnings of quantum theory in the early twentieth century to the realm of quantum-information processing in the twenty-first. The central aim of this textbook, therefore, is to offer a detailed introduction to quantum theory that covers both physical and information-theoretic aspects, with a particular focus on the concept of entanglement and its characteristics, variants, and applications. Suitable for undergraduate students in physics and related subjects who encounter quantum mechanics for the first time, this book also serves as a resource for graduate students who want to engage with more advanced topics, offering a collection of derivations, proofs, technical methods, and references for graduate students and more experienced readers engaged with teaching and active research. The book is divided into three parts: Part I - Quantum Mechanics, Part II - Entanglement and Non-Locality, and Part III - Advanced Topics in Modern Quantum Physics. Part I provides a modern view on quantum mechanics, a central topic of theoretical physics. Part II is dedicated to the foundations of quantum mechanics and entanglement: starting with density operators, hidden-variable theories, the Einstein-Podolsky-Rosen Paradox, and Bell Inequalities, but also touching upon philosophical questions, followed by a deeper study of entanglement-based quantum communication protocols like teleportation, before giving a detailed exposition of entanglement theory, including tools for the detection and quantification of entanglement. Part III is intended as a collection of standalone chapters to supplement the contents of Parts I and II, covering more advanced topics such as classical and quantum entropies, quantum operations and measurements, decoherence, quantum metrology and quantum optics, and entanglement in particle physics.
