Topological Phenomena In Tensor Network States Of Quantum Spin Systems

Download Topological Phenomena In Tensor Network States Of Quantum Spin Systems full books in PDF, epub, and Kindle. Read online Topological Phenomena In Tensor Network States Of Quantum Spin Systems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

Author : Laurens Vanderstraeten
Publisher : Springer
ISBN 13 : 3319641913
Total Pages : 229 pages
Book Rating : 4.3/5 (196 download)

DOWNLOAD NOW!

Book Synopsis Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems by : Laurens Vanderstraeten

Download or read book Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems written by Laurens Vanderstraeten and published by Springer. This book was released on 2017-08-10 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.

Tensor Network Contractions

Author : Shi-Ju Ran
Publisher : Springer Nature
ISBN 13 : 3030344894
Total Pages : 160 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!

Book Synopsis Tensor Network Contractions by : Shi-Ju Ran

Download or read book Tensor Network Contractions written by Shi-Ju Ran and published by Springer Nature. This book was released on 2020-01-27 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor network is a fundamental mathematical tool with a huge range of applications in physics, such as condensed matter physics, statistic physics, high energy physics, and quantum information sciences. This open access book aims to explain the tensor network contraction approaches in a systematic way, from the basic definitions to the important applications. This book is also useful to those who apply tensor networks in areas beyond physics, such as machine learning and the big-data analysis. Tensor network originates from the numerical renormalization group approach proposed by K. G. Wilson in 1975. Through a rapid development in the last two decades, tensor network has become a powerful numerical tool that can efficiently simulate a wide range of scientific problems, with particular success in quantum many-body physics. Varieties of tensor network algorithms have been proposed for different problems. However, the connections among different algorithms are not well discussed or reviewed. To fill this gap, this book explains the fundamental concepts and basic ideas that connect and/or unify different strategies of the tensor network contraction algorithms. In addition, some of the recent progresses in dealing with tensor decomposition techniques and quantum simulations are also represented in this book to help the readers to better understand tensor network. This open access book is intended for graduated students, but can also be used as a professional book for researchers in the related fields. To understand most of the contents in the book, only basic knowledge of quantum mechanics and linear algebra is required. In order to fully understand some advanced parts, the reader will need to be familiar with notion of condensed matter physics and quantum information, that however are not necessary to understand the main parts of the book. This book is a good source for non-specialists on quantum physics to understand tensor network algorithms and the related mathematics.

Emergent Phenomena in Correlated Matter

Author : Eva Pavarini
Publisher : Forschungszentrum Jülich
ISBN 13 : 3893368841
Total Pages : 562 pages
Book Rating : 4.8/5 (933 download)

DOWNLOAD NOW!

Book Synopsis Emergent Phenomena in Correlated Matter by : Eva Pavarini

Download or read book Emergent Phenomena in Correlated Matter written by Eva Pavarini and published by Forschungszentrum Jülich. This book was released on 2013 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Quantum Spin Systems

Author : John B. Parkinson
Publisher : Springer Science & Business Media
ISBN 13 : 3642132898
Total Pages : 159 pages
Book Rating : 4.6/5 (421 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Quantum Spin Systems by : John B. Parkinson

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.

Entanglement in Spin Chains

Author : Abolfazl Bayat
Publisher : Springer Nature
ISBN 13 : 303103998X
Total Pages : 549 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Entanglement in Spin Chains by : Abolfazl Bayat

Download or read book Entanglement in Spin Chains written by Abolfazl Bayat and published by Springer Nature. This book was released on 2022-09-26 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent developments in the understanding, quantification, and exploitation of entanglement in spin chain models from both condensed matter and quantum information perspectives. Spin chain models are at the foundation of condensed matter physics and quantum information technologies and elucidate many fundamental phenomena such as information scrambling, quantum phase transitions, and many-body localization. Moreover, many quantum materials and emerging quantum devices are well described by spin chains. Comprising accessible, self-contained chapters written by leading researchers, this book is essential reading for graduate students and researchers in quantum materials and quantum information. The coverage is comprehensive, from the fundamental entanglement aspects of quantum criticality, non-equilibrium dynamics, classical and quantum simulation of spin chains through to their experimental realizations, and beyond into machine learning applications.

Density Matrix and Tensor Network Renormalization

Author : Tao Xiang
Publisher : Cambridge University Press
ISBN 13 : 1009398717
Total Pages : 456 pages
Book Rating : 4.0/5 (93 download)

DOWNLOAD NOW!

Book Synopsis Density Matrix and Tensor Network Renormalization by : Tao Xiang

Download or read book Density Matrix and Tensor Network Renormalization written by Tao Xiang and published by Cambridge University Press. This book was released on 2023-08-31 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Renormalization group theory of tensor network states provides a powerful tool for studying quantum many-body problems and a new paradigm for understanding entangled structures of complex systems. In recent decades the theory has rapidly evolved into a universal framework and language employed by researchers in fields ranging from condensed matter theory to machine learning. This book presents a pedagogical and comprehensive introduction to this field for the first time. After an introductory survey on the major advances in tensor network algorithms and their applications, it introduces step-by-step the tensor network representations of quantum states and the tensor-network renormalization group methods developed over the past three decades. Basic statistical and condensed matter physics models are used to demonstrate how the tensor network renormalization works. An accessible primer for scientists and engineers, this book would also be ideal as a reference text for a graduate course in this area.

The Role of Topology in Materials

Author : Sanju Gupta
Publisher :
ISBN 13 : 9783319765976
Total Pages : 297 pages
Book Rating : 4.7/5 (659 download)

DOWNLOAD NOW!

Book Synopsis The Role of Topology in Materials by : Sanju Gupta

Download or read book The Role of Topology in Materials written by Sanju Gupta and published by . This book was released on 2018 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure-property-function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.

Artificial Intelligence and Knowledge Processing

Author : Hemachandran K
Publisher : Springer Nature
ISBN 13 : 3031686179
Total Pages : 417 pages
Book Rating : 4.0/5 (316 download)

DOWNLOAD NOW!

Book Synopsis Artificial Intelligence and Knowledge Processing by : Hemachandran K

Download or read book Artificial Intelligence and Knowledge Processing written by Hemachandran K and published by Springer Nature. This book was released on with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Information Meets Quantum Matter

Author : Bei Zeng
Publisher : Springer
ISBN 13 : 1493990845
Total Pages : 372 pages
Book Rating : 4.4/5 (939 download)

DOWNLOAD NOW!

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 372 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.

Frustrated Spin Systems

Author : H. T. Diep
Publisher : World Scientific
ISBN 13 : 9814440744
Total Pages : 644 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Frustrated Spin Systems by : H. T. Diep

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."

Topological Quantum Computation

Author : Zhenghan Wang
Publisher : American Mathematical Soc.
ISBN 13 : 0821849301
Total Pages : 134 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Topological Quantum Computation by : Zhenghan Wang

Download or read book Topological Quantum Computation written by Zhenghan Wang and published by American Mathematical Soc.. This book was released on 2010 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological quantum computation is a computational paradigm based on topological phases of matter, which are governed by topological quantum field theories. In this approach, information is stored in the lowest energy states of many-anyon systems and processed by braiding non-abelian anyons. The computational answer is accessed by bringing anyons together and observing the result. Besides its theoretical esthetic appeal, the practical merit of the topological approach lies in its error-minimizing hypothetical hardware: topological phases of matter are fault-avoiding or deaf to most local noises, and unitary gates are implemented with exponential accuracy. Experimental realizations are pursued in systems such as fractional quantum Hall liquids and topological insulators. This book expands on the author's CBMS lectures on knots and topological quantum computing and is intended as a primer for mathematically inclined graduate students. With an emphasis on introducing basic notions and current research, this book gives the first coherent account of the field, covering a wide range of topics: Temperley-Lieb-Jones theory, the quantum circuit model, ribbon fusion category theory, topological quantum field theory, anyon theory, additive approximation of the Jones polynomial, anyonic quantum computing models, and mathematical models of topological phases of matter.

Introduction to Topological Quantum Computation

Author : Jiannis K. Pachos
Publisher : Cambridge University Press
ISBN 13 : 1139936689
Total Pages : 220 pages
Book Rating : 4.1/5 (399 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Topological Quantum Computation by : Jiannis K. Pachos

Download or read book Introduction to Topological Quantum Computation written by Jiannis K. Pachos and published by Cambridge University Press. This book was released on 2012-04-12 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors. In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way. Relevant calculations are fully explained, and numerous worked examples and exercises support and aid understanding. Special emphasis is given to the motivation and physical intuition behind every mathematical concept. Demystifying difficult topics by using accessible language, this book has broad appeal and is ideal for graduate students and researchers from various disciplines who want to get into this new and exciting research field.

Sustainable Interdependent Networks II

Author : M. Hadi Amini
Publisher : Springer
ISBN 13 : 3319989235
Total Pages : 316 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!

Book Synopsis Sustainable Interdependent Networks II by : M. Hadi Amini

Download or read book Sustainable Interdependent Networks II written by M. Hadi Amini and published by Springer. This book was released on 2018-12-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book paves the way for researchers working on the sustainable interdependent networks spread over the fields of computer science, electrical engineering, and smart infrastructures. It provides the readers with a comprehensive insight to understand an in-depth big picture of smart cities as a thorough example of interdependent large-scale networks in both theory and application aspects. The contributors specify the importance and position of the interdependent networks in the context of developing the sustainable smart cities and provide a comprehensive investigation of recently developed optimization methods for large-scale networks. There has been an emerging concern regarding the optimal operation of power and transportation networks. In the second volume of Sustainable Interdependent Networks book, we focus on the interdependencies of these two networks, optimization methods to deal with the computational complexity of them, and their role in future smart cities. We further investigate other networks, such as communication networks, that indirectly affect the operation of power and transportation networks. Our reliance on these networks as global platforms for sustainable development has led to the need for developing novel means to deal with arising issues. The considerable scale of such networks, due to the large number of buses in smart power grids and the increasing number of electric vehicles in transportation networks, brings a large variety of computational complexity and optimization challenges. Although the independent optimization of these networks lead to locally optimum operation points, there is an exigent need to move towards obtaining the globally-optimum operation point of such networks while satisfying the constraints of each network properly. The book is suitable for senior undergraduate students, graduate students interested in research in multidisciplinary areas related to future sustainable networks, and the researchers working in the related areas. It also covers the application of interdependent networks which makes it a perfect source of study for audience out of academia to obtain a general insight of interdependent networks.

Introduction to Topological Quantum Matter & Quantum Computation

Author : Tudor D. Stanescu
Publisher : CRC Press
ISBN 13 : 135172228X
Total Pages : 284 pages
Book Rating : 4.3/5 (517 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Topological Quantum Matter & Quantum Computation by : Tudor D. Stanescu

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.

The Geometric Phase in Quantum Systems

Author : Arno Bohm
Publisher : Springer Science & Business Media
ISBN 13 : 3662103338
Total Pages : 447 pages
Book Rating : 4.6/5 (621 download)

DOWNLOAD NOW!

Book Synopsis The Geometric Phase in Quantum Systems by : Arno Bohm

Download or read book The Geometric Phase in Quantum Systems written by Arno Bohm and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." (OPTICS & PHOTONICS NEWS, July/August 2005).

Coarse Graining in Quantum Gravity: Bridging the Gap between Microscopic Models and Spacetime-Physics

Author : Astrid Eichhorn
Publisher : Frontiers Media SA
ISBN 13 : 2889710491
Total Pages : 298 pages
Book Rating : 4.8/5 (897 download)

DOWNLOAD NOW!

Book Synopsis Coarse Graining in Quantum Gravity: Bridging the Gap between Microscopic Models and Spacetime-Physics by : Astrid Eichhorn

Download or read book Coarse Graining in Quantum Gravity: Bridging the Gap between Microscopic Models and Spacetime-Physics written by Astrid Eichhorn and published by Frontiers Media SA. This book was released on 2021-07-15 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics of Quantum Computation

Author : Ranee K. Brylinski
Publisher : CRC Press
ISBN 13 : 1420035371
Total Pages : 446 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Mathematics of Quantum Computation by : Ranee K. Brylinski

Download or read book Mathematics of Quantum Computation written by Ranee K. Brylinski and published by CRC Press. This book was released on 2002-02-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science. Mathematics of Quantum Computation brings together leading computer sc