Physics and Mathematics of Quantum Many-Body Systems

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Author :
Publisher : Springer Nature
ISBN 13 : 3030412652
Total Pages : 534 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Physics and Mathematics of Quantum Many-Body Systems by : Hal Tasaki

Download or read book Physics and Mathematics of Quantum Many-Body Systems written by Hal Tasaki and published by Springer Nature. This book was released on 2020-05-07 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

Quantum Information Meets Quantum Matter

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Author :
Publisher : Springer
ISBN 13 : 1493990845
Total Pages : 364 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Quantum Information Meets Quantum Matter by : Bei Zeng

Download or read book Quantum Information Meets Quantum Matter written by Bei Zeng and published by Springer. This book was released on 2019-03-28 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book approaches condensed matter physics from the perspective of quantum information science, focusing on systems with strong interaction and unconventional order for which the usual condensed matter methods like the Landau paradigm or the free fermion framework break down. Concepts and tools in quantum information science such as entanglement, quantum circuits, and the tensor network representation prove to be highly useful in studying such systems. The goal of this book is to introduce these techniques and show how they lead to a new systematic way of characterizing and classifying quantum phases in condensed matter systems. The first part of the book introduces some basic concepts in quantum information theory which are then used to study the central topic explained in Part II: local Hamiltonians and their ground states. Part III focuses on one of the major new phenomena in strongly interacting systems, the topological order, and shows how it can essentially be defined and characterized in terms of entanglement. Part IV shows that the key entanglement structure of topological states can be captured using the tensor network representation, which provides a powerful tool in the classification of quantum phases. Finally, Part V discusses the exciting prospect at the intersection of quantum information and condensed matter physics – the unification of information and matter. Intended for graduate students and researchers in condensed matter physics, quantum information science and related fields, the book is self-contained and no prior knowledge of these topics is assumed.

Nonequilibrium Many-Body Theory of Quantum Systems

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107354579
Total Pages : 619 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Nonequilibrium Many-Body Theory of Quantum Systems by : Gianluca Stefanucci

Download or read book Nonequilibrium Many-Body Theory of Quantum Systems written by Gianluca Stefanucci and published by Cambridge University Press. This book was released on 2013-03-07 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, self-contained introduction to nonequilibrium many-body theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the time-dependent aspect. Every result is derived step-by-step, critically discussed and then applied to different physical systems, ranging from molecules and nanostructures to metals and insulators. With an abundance of illustrative examples, this accessible book is ideal for graduate students and researchers who are interested in excited state properties of matter and nonequilibrium physics.

Solid State Quantum Information -- An Advanced Textbook: Quantum Aspect Of Many-body Systems

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Author :
Publisher : World Scientific
ISBN 13 : 1911299816
Total Pages : 211 pages
Book Rating : 4.9/5 (112 download)

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Book Synopsis Solid State Quantum Information -- An Advanced Textbook: Quantum Aspect Of Many-body Systems by : Wonmin Son

Download or read book Solid State Quantum Information -- An Advanced Textbook: Quantum Aspect Of Many-body Systems written by Wonmin Son and published by World Scientific. This book was released on 2018-02-22 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on solid state physics has been written with an emphasis on recent developments in quantum many-body physics approaches. It starts by covering the classical theory of solids and electrons and describes how this classical model has failed. The authors then present the quantum mechanical model of electrons in a lattice and they also discuss the theory of conductivity. Extensive reviews on the topic are provided in a compact manner so that any non-specialist can follow from the beginning.The authors cover the system of magnetism in a similar way and various problems in magnetic materials are discussed. The book also discusses the Ising chain, the Heisenberg model, the Kondo effect and superconductivity, amongst other relevant topics.In the final chapter, the authors present some works related to contemporary research topics, such as quantum entanglement in many-body systems and quantum simulations. They also include a short review of some of the possible applications of solid state quantum information in biological systems.

Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations

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Author :
Publisher : Springer Nature
ISBN 13 : 9811525803
Total Pages : 228 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations by : Yuto Ashida

Download or read book Quantum Many-Body Physics in Open Systems: Measurement and Strong Correlations written by Yuto Ashida and published by Springer Nature. This book was released on 2020-01-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.

Quantum Field Theory of Many-Body Systems

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Publisher : OUP Oxford
ISBN 13 : 0191523968
Total Pages : 520 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Quantum Field Theory of Many-Body Systems by : Xiao-Gang Wen

Download or read book Quantum Field Theory of Many-Body Systems written by Xiao-Gang Wen and published by OUP Oxford. This book was released on 2004-06-04 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.

Quantum Information and Many Body Quantum Systems

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Author :
Publisher : Edizioni della Normale
ISBN 13 : 9788876423079
Total Pages : 0 pages
Book Rating : 4.4/5 (23 download)

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Book Synopsis Quantum Information and Many Body Quantum Systems by : Marie Ericsson

Download or read book Quantum Information and Many Body Quantum Systems written by Marie Ericsson and published by Edizioni della Normale. This book was released on 2008-10-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last years a growing attention has been dedicated to many body quantum systems from the point of view of quantum information. Indeed, the need of understanding the characteristics of a realistic quantum information device leads necessarily to the study of many body quantum systems. This book gives a selection of current research topics in the field of quantum information for many body quantum systems together with open problems.

Manipulating Quantum Systems

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Publisher : National Academies Press
ISBN 13 : 0309499542
Total Pages : 315 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Manipulating Quantum Systems by : National Academies of Sciences, Engineering, and Medicine

Download or read book Manipulating Quantum Systems written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2020-09-14 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.

The Quantum Mechanics of Many-Body Systems

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486493571
Total Pages : 258 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis The Quantum Mechanics of Many-Body Systems by : D.J. Thouless

Download or read book The Quantum Mechanics of Many-Body Systems written by D.J. Thouless and published by Courier Corporation. This book was released on 2014-01-15 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Unabridged republication of the second edition of the work, originally published in the Pure and applied physics series by Academic Press, Inc., New York, in 1972"--Title page verso.

Quantum Theory of Many-Body Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461205956
Total Pages : 238 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Quantum Theory of Many-Body Systems by : Alexandre Zagoskin

Download or read book Quantum Theory of Many-Body Systems written by Alexandre Zagoskin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for graduates in physics and related fields, this is a self-contained treatment of the physics of many-body systems from the point of view of condensed matter. The approach, quite traditionally, covers all the important diagram techniques for normal and superconducting systems, including the zero-temperature perturbation theory, and the Matsubara, Keldysh, and Nambu-Gorov formalisms. The aim is not to be exhaustive, but to present just enough detail to enable students to follow the current research literature or to apply the techniques to new problems. Many of the examples are drawn from mesoscopic physics, which deals with systems small enough that quantum coherence is maintained throughout the volume, and which therefore provides an ideal testing ground for many-body theories. '

Many-Body Quantum Theory in Condensed Matter Physics

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Publisher : Oxford University Press
ISBN 13 : 0198566336
Total Pages : 458 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Many-Body Quantum Theory in Condensed Matter Physics by : Henrik Bruus

Download or read book Many-Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.

Quantum Information

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Publisher : Springer Science & Business Media
ISBN 13 : 0387369449
Total Pages : 291 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Quantum Information by : Gregg Jaeger

Download or read book Quantum Information written by Gregg Jaeger and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview for practitioners and students of quantum physics and information science. It provides ready access to essential information on quantum information processing and communication, such as definitions, protocols and algorithms. Quantum information science is rarely found in clear and concise form. This book brings together this information from its various sources. It allows researchers and students in a range of areas including physics, photonics, solid-state electronics, nuclear magnetic resonance and information technology, in their applied and theoretical branches, to have this vital material directly at hand.

Principles and Methods of Quantum Information Technologies

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Publisher : Springer
ISBN 13 : 4431557563
Total Pages : 615 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Principles and Methods of Quantum Information Technologies by : Yoshihisa Yamamoto

Download or read book Principles and Methods of Quantum Information Technologies written by Yoshihisa Yamamoto and published by Springer. This book was released on 2015-12-30 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the research and development-related results of the “FIRST” Quantum Information Processing Project, which was conducted from 2010 to 2014 with the support of the Council for Science, Technology and Innovation of the Cabinet Office of the Government of Japan. The project supported 33 research groups and explored five areas: quantum communication, quantum metrology and sensing, coherent computing, quantum simulation, and quantum computing. The book is divided into seven main sections. Parts I through V, which consist of twenty chapters, focus on the system and architectural aspects of quantum information technologies, while Parts VI and VII, which consist of eight chapters, discuss the superconducting quantum circuit, semiconductor spin and molecular spin technologies. Readers will be introduced to new quantum computing schemes such as quantum annealing machines and coherent Ising machines, which have now arisen as alternatives to standard quantum computers and are designed to successfully address NP-hard/NP-complete combinatorial optimization problems, which are ubiquitous and relevant in our modern life. The book offers a balanced mix of theory-based and experimentation-based chapters written by leading researchers. Extensive information is provided on Quantum simulation, which focuses on the implementation of various many-body Hamiltonians in a well-controlled physical system, Quantum key distribution, Quantum repeaters and quantum teleportation, which are indispensable technologies for building quantum networks with various advanced applications and require far more sophisticated experimental techniques to implement.

Quantum Steampunk

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Publisher : JHU Press
ISBN 13 : 1421443724
Total Pages : 305 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Quantum Steampunk by : Nicole Yunger Halpern

Download or read book Quantum Steampunk written by Nicole Yunger Halpern and published by JHU Press. This book was released on 2022-04-12 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The science-fiction genre known as steampunk juxtaposes futuristic technologies with Victorian settings. This fantasy is becoming reality at the intersection of two scientific fields-twenty-first-century quantum physics and nineteenth-century thermodynamics, or the study of energy-in a discipline known as quantum steampunk"--

Ultracold Atoms in Optical Lattices

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Publisher : Oxford University Press
ISBN 13 : 0199573123
Total Pages : 494 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Ultracold Atoms in Optical Lattices by : Maciej Lewenstein

Download or read book Ultracold Atoms in Optical Lattices written by Maciej Lewenstein and published by Oxford University Press. This book was released on 2012-03-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the physics of atoms frozen to ultralow temperatures and trapped in periodic light structures. It introduces the reader to the spectacular progress achieved on the field of ultracold gases and describes present and future challenges in condensed matter physics, high energy physics, and quantum computation.

Many-Body Problems and Quantum Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662084902
Total Pages : 442 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Many-Body Problems and Quantum Field Theory by : Philippe Andre Martin

Download or read book Many-Body Problems and Quantum Field Theory written by Philippe Andre Martin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasis is placed on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas within different domains of physics. Starting from a basic knowledge of quantum mechanics and classical electromagnetism, the exposition is self-contained and explicitly details all steps of the derivations. The new edition features a substantially new treatment of nucleon pairing.

Introduction to Many-Body Physics

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Publisher : Cambridge University Press
ISBN 13 : 1316432025
Total Pages : 815 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Introduction to Many-Body Physics by : Piers Coleman

Download or read book Introduction to Many-Body Physics written by Piers Coleman and published by Cambridge University Press. This book was released on 2015-11-26 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids. Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many-body physics before developing the path integral approach to interacting systems. Special chapters are devoted to the concepts of Fermi liquid theory, broken symmetry, conduction in disordered systems, superconductivity and the physics of local-moment metals. A strong emphasis on concepts and numerous exercises make this an invaluable course book for graduate students in condensed matter physics. It will also interest students in nuclear, atomic and particle physics.