Density Matrix and Tensor Network Renormalization

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

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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.

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

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Publisher : Springer Nature
ISBN 13 : 9811525803
Total Pages : 243 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 243 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.

Journal of the Physical Society of Japan

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Publisher :
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Journal of the Physical Society of Japan by :

Download or read book Journal of the Physical Society of Japan written by and published by . This book was released on 2016 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Simulation Studies in Condensed-Matter Physics IX

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Publisher : Springer Science & Business Media
ISBN 13 : 3642605974
Total Pages : 193 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Computer Simulation Studies in Condensed-Matter Physics IX by : David P. Landau

Download or read book Computer Simulation Studies in Condensed-Matter Physics IX written by David P. Landau and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Simulation Studies in Condensed-Matter Physics IX covers recent developments in this field. This workshop was the ninth in this series and was held at the University of Georgia, March 4-9, 1996, and these proceedings form a record which is published with the goal of timely dissemination of the material to a wider audience. This volume is composed of three parts. The first section contains invited papers that deal with simulational studies of classical systems. The second section of the proceedings is devoted to invited papers on quantum systems, including new results for strongly correlated electron and quantum spin models. The final section comprises contributed presentations.

Computational Approaches in Condensed-Matter Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642848214
Total Pages : 301 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Computational Approaches in Condensed-Matter Physics by : Seiji Miyashita

Download or read book Computational Approaches in Condensed-Matter Physics written by Seiji Miyashita and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interacting many-body systems are the main subjects of research in theoretical condensed matter physics, and they are the source of both the interest and the difficulty in this field. In order to understand the macroscopic properties of matter in terms of macroscopic knowledge, many analytic and approximate methods have been introduced. The contributions to this proceedings volume focus on the most recent developments of computational approaches in condensed matter physics. Monte Carlo methods and molecular dynamics simulations applied to strongly correlated classical and quantum systems such as electron systems, quantum spin systems, spin glassss, coupled map systems, polymers and other random and comlex systems are reviewed. Comprising easy to follow introductions to each field covered and also more specialized contributions,this proceedings volume explains why computational approaches are necessary and how different fields are related to each other.

Exact S-matrices and Related Algebraic Structures in Two-dimensional Quantum Systems

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Publisher : Ann Arbor, Mich. : University Microfilms International
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Exact S-matrices and Related Algebraic Structures in Two-dimensional Quantum Systems by : Zorawar Singh Bassi

Download or read book Exact S-matrices and Related Algebraic Structures in Two-dimensional Quantum Systems written by Zorawar Singh Bassi and published by Ann Arbor, Mich. : University Microfilms International. This book was released on 2000 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Monte Carlo Methods in Condensed Matter Physics

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Publisher : World Scientific
ISBN 13 : 9789810236830
Total Pages : 380 pages
Book Rating : 4.2/5 (368 download)

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Book Synopsis Quantum Monte Carlo Methods in Condensed Matter Physics by : Masuo Suzuki

Download or read book Quantum Monte Carlo Methods in Condensed Matter Physics written by Masuo Suzuki and published by World Scientific. This book was released on 1993 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews recent developments of quantum Monte Carlo methods and some remarkable applications to interacting quantum spin systems and strongly correlated electron systems. It contains twenty-two papers by thirty authors. Some of the features are as follows. The first paper gives the foundations of the standard quantum Monte Carlo method, including some recent results on higher-order decompositions of exponential operators and ordered exponentials. The second paper presents a general review of quantum Monte Carlo methods used in the present book. One of the most challenging problems in the field of quantum Monte Carlo techniques, the negative-sign problem, is also discussed and new methods proposed to partially overcome it. In addition, low-dimensional quantum spin systems are studied. Some interesting applications of quantum Monte Carlo methods to fermion systems are also presented to investigate the role of strong correlations and fluctuations of electrons and to clarify the mechanism of high-c superconductivity. Not only thermal properties but also quantum-mechanical ground-state properties have been studied by the projection technique using auxiliary fields. Further, the Haldane gap is confirmed by numerical calculations. Active researchers in the forefront of condensed matter physics as well as young graduate students who want to start learning the quantum Monte Carlo methods will find this book useful.

New Topics in Josephson Junction and Superconductivity Research

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Publisher : Nova Publishers
ISBN 13 : 9781600211836
Total Pages : 244 pages
Book Rating : 4.2/5 (118 download)

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Book Synopsis New Topics in Josephson Junction and Superconductivity Research by : Carl S. Winslow

Download or read book New Topics in Josephson Junction and Superconductivity Research written by Carl S. Winslow and published by Nova Publishers. This book was released on 2007 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Josephson Junction is a type of electronic circuit capable of switching at very high speeds when operated at temperatures approaching absolute zero. It exploits the phenomenon of superconductivity, the ability of certain materials to conduct electric current with practically zero resistance. This book presents new and important research in superconductivity. This includes optical properties, magneto-optics and surface acoustic waves, microwave responses, theories of superconductivity, synthesis in electronic applications and high temperature superconductivity.

Computational Physics as a New Frontier in Condensed Matter Research

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Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Computational Physics as a New Frontier in Condensed Matter Research by : Hajime Takayama

Download or read book Computational Physics as a New Frontier in Condensed Matter Research written by Hajime Takayama and published by . This book was released on 1995 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Frontiers in Quantum Systems in Chemistry and Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402087071
Total Pages : 586 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Frontiers in Quantum Systems in Chemistry and Physics by : P.J. Grout

Download or read book Frontiers in Quantum Systems in Chemistry and Physics written by P.J. Grout and published by Springer Science & Business Media. This book was released on 2008-09-12 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume we have collected some of the contributions made to the Twelfth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-XII) in 2007. The workshop was held at Royal Holloway College, the most westerly campusof the University of London,and situated just a stone’s throw from Windsor Great Park. The workshop, which ran from 30 August to 5 September, continued the series that was established by Roy McWeeny in April 1996 with a meeting held at San Miniato, near Pisa. The purpose of the QSCP workshops is to bring together, in an informal atmosphere and with the aim of fostering collaboration, those chemists and physicists who share a common ?eld of interest in the theory of the quantum many-body problem. Quantum mechanics provides a theoretical foundation for our understandingof the structure,propertiesanddynamicsof atoms, moleculesandthe solid state, in terms of their component particles: electrons and nuclei. The study of ‘Quantum Systems in Chemistry and Physics’ therefore underpins many of the emerging?elds in twenty-?rstcenturyscience andtechnology:nanostructure,smart materials, drug design – to name but a few. Members of the workshop were keen to discuss their research and engage in collaboration centred upon the development of fundamental and innovative theory which would lead to the exploration of new concepts. The proceedings of all of the workshops, which have been held annually since 1996, have been published both to disseminate the latest developments within the wider community and to stimulate further collaboration.

Tensor Network Contractions

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

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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.

Quantum Monte Carlo Studies of Anderson and Kondo Systems

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Publisher :
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Quantum Monte Carlo Studies of Anderson and Kondo Systems by : Richard Maurice Fye

Download or read book Quantum Monte Carlo Studies of Anderson and Kondo Systems written by Richard Maurice Fye and published by . This book was released on 1988 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Science Reports of the Tōhoku University

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Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis The Science Reports of the Tōhoku University by :

Download or read book The Science Reports of the Tōhoku University written by and published by . This book was released on 1993 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes Annual reports for the Physics and Astronomy Departments.

Topics in Superconductivity Research

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Publisher : Nova Publishers
ISBN 13 : 9781594545139
Total Pages : 162 pages
Book Rating : 4.5/5 (451 download)

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Book Synopsis Topics in Superconductivity Research by : Barry P. Martins

Download or read book Topics in Superconductivity Research written by Barry P. Martins and published by Nova Publishers. This book was released on 2005 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superconductivity is the ability of certain materials to conduct electrical current with no resistance and extremely low losses. High temperature superconductors, such as La2-xSrxCuOx (Tc=40K) and YBa2Cu3O7-x (Tc=90K), were discovered in 1987 and have been actively studied since. In spite of an intense, world-wide, research effort during this time, a complete understanding of the copper oxide (cuprate) materials is still lacking. Many fundamental questions are unanswered, particularly the mechanism by which high-Tc superconductivity occurs. More broadly, the cuprates are in a class of solids with strong electron-electron interactions. An understanding of such "strongly correlated" solids is perhaps the major unsolved problem of condensed matter physics with over ten thousand researchers working on this topic. High-Tc superconductors also have significant potential for applications in technologies ranging from electric power generation and transmission to digital electronics. This ability to carry large amounts of current can be applied to electric power devices such as motors and generators, and to electricity transmission in power lines. For example, superconductors can carry as much as 100 times the amount of electricity of ordinary copper or aluminium wires of the same size. Many universities, research institutes and companies are working to develop high-Tc superconductivity applications and considerable progress has been made. This new volume brings together new leading-edge research in the field.

Energy Research Abstracts

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Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1987 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Density Matrix Renormalization Group (DMRG)-based Approaches in Computational Chemistry

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Publisher : Elsevier
ISBN 13 : 0323856950
Total Pages : 337 pages
Book Rating : 4.3/5 (238 download)

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Book Synopsis Density Matrix Renormalization Group (DMRG)-based Approaches in Computational Chemistry by : Haibo Ma

Download or read book Density Matrix Renormalization Group (DMRG)-based Approaches in Computational Chemistry written by Haibo Ma and published by Elsevier. This book was released on 2022-08-21 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density Matrix Renormalization Group (DMRG)-based Approaches in Computational Chemistry outlines important theories and algorithms of DMRG-based approaches and explores their use in computational chemistry. Beginning with an introduction to DMRG and DMRG-based approaches, the book goes on to discuss the key theories and applications of DMRG, from DMRG for semi-empirical and ab-initio quantum chemistry, to DMRG in embedded environments, frequency spaces and quantum dynamics. Drawing on the experience of its expert authors, sections detail recent ideas and key developments, providing an up-to-date view of current developments in the field for students and researchers in quantum chemistry. - Provides an expertly-curated, consolidated overview of research in the field - Includes exercises that support learning and link theory to practice - Outlines key theories and algorithms for computational chemistry applications

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 840 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2009 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: