Density Matrix Renormalization A New Numerical Method In Physics

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Density-Matrix Renormalization - A New Numerical Method in Physics

Author : Ingo Peschel
Publisher : Lecture Notes in Physics
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Density-Matrix Renormalization - A New Numerical Method in Physics by : Ingo Peschel

Download or read book Density-Matrix Renormalization - A New Numerical Method in Physics written by Ingo Peschel and published by Lecture Notes in Physics. This book was released on 1999-06-21 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the first comprehensive account of the new method of density matrix renormalization. Recent years have seen enormous progress in the numerical treatment of low-dimensional quantum systems. With this new technique, which selects a reduced set of basis states via density matrices, it has become possible to treat large systems with amazing accuracy. The method has been applied successfully to a variety of important one-dimensional problems such as spin chains, Kondo models, and correlated electron systems. Extensions to other systems and higher dimensions are currently being developed. The contributions to this book are written by leading experts in the field. The two parts contain an introduction to the subject and a review of physical applications. As a combination of advanced textbook and guide to current research the book should become a standard source for everyone interested in the topic.

Density Matrix Renormalization Group

Author : Tim Byrnes
Publisher : timbyrnes
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4./5 ( download)

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Book Synopsis Density Matrix Renormalization Group by : Tim Byrnes

Download or read book Density Matrix Renormalization Group written by Tim Byrnes and published by timbyrnes. This book was released on 2003 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Tensor Network Methods

Author : Simone Montangero
Publisher : Springer
ISBN 13 : 3030014096
Total Pages : 172 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Introduction to Tensor Network Methods by : Simone Montangero

Download or read book Introduction to Tensor Network Methods written by Simone Montangero and published by Springer. This book was released on 2018-11-28 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of lecture notes briefly introduces the basic concepts needed in any computational physics course: software and hardware, programming skills, linear algebra, and differential calculus. It then presents more advanced numerical methods to tackle the quantum many-body problem: it reviews the numerical renormalization group and then focuses on tensor network methods, from basic concepts to gauge invariant ones. Finally, in the last part, the author presents some applications of tensor network methods to equilibrium and out-of-equilibrium correlated quantum matter. The book can be used for a graduate computational physics course. After successfully completing such a course, a student should be able to write a tensor network program and can begin to explore the physics of many-body quantum systems. The book can also serve as a reference for researchers working or starting out in the field.

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

Author : Laurens Vanderstraeten
Publisher : Springer
ISBN 13 : 3319641913
Total Pages : 219 pages
Book Rating : 4.3/5 (196 download)

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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 219 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.

New Trends in Quantum Systems in Chemistry and Physics

Author : J. Maruani
Publisher : Springer Science & Business Media
ISBN 13 : 0306469502
Total Pages : 313 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis New Trends in Quantum Systems in Chemistry and Physics by : J. Maruani

Download or read book New Trends in Quantum Systems in Chemistry and Physics written by J. Maruani and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes collect thirty-eight selected papers from the scientific contributions presented at the Fourth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-IV), held in Marly-le-Roi (France) in April 22-27, 1999. A total of one hundred and fifteen scientists attended the workshop, 99 from Europe and 16 from the rest of the world. They discussed the state of the art, new trends, and future evolution of the methods and applications. The workshop was held in the old town of Marly-le-Roi, which lies to the West of Paris between the historic centres of Saint-Germain-en-Laye and Versailles. Participants were housed at the National Youth Institute, where over sixty lectures were given by l- ding members of the scientific community; in addition, over sixty posters were presented in two very animated sessions. We are grateful to the oral speakers and to the poster p- senters for making the workshop such an stimulating experience. The social programme was also memorable – and not just for the closing banquet, which was held at the French Senate House. We are sure that participants will long remember their visit to the 'Musée des Antiquités Nationales': created by Napoleon III at the birthplace of Louis XIV, this museum boasts one of the world finest collections of archeological artifacts. The Marly-le-Roi workshop followed the format established at the three previous meetings, organized by Prof.

Modeling, Simulation and Optimization of Complex Processes

Author : Hans Georg Bock
Publisher : Springer Science & Business Media
ISBN 13 : 9783540230274
Total Pages : 612 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Modeling, Simulation and Optimization of Complex Processes by : Hans Georg Bock

Download or read book Modeling, Simulation and Optimization of Complex Processes written by Hans Georg Bock and published by Springer Science & Business Media. This book was released on 2005-02-14 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains a selection of papers presented at the symposium "International Conference on High Performance Scientific Computing'' held at the Hanoi Institute of Mathematics of the Vietnam National Center for Natural Science and Technology (NCST), March 10-14, 2003. The conference has been organized by the Hanoi Institute of Mathematics, SFB 359 ''Reactive Flows, Transport and Diffusion'', Heidelberg, Ho Chi Minh City University of Technology and Interdisciplinary Center for Scientific Computing (IWR), Heidelberg. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and applications in practice. Subjects covered are mathematical modelling, numerical simulation, methods for optimization and optimal control, parallel computing, symbolic computing, software development, applications of scientific computing in physics, chemistry, biology and mechanics, environmental and hydrology problems, transport, logistics and site location, communication networks, production scheduling, industrial and commercial problems.

Computational Physics

Author : Jos Thijssen
Publisher : Cambridge University Press
ISBN 13 : 0521833469
Total Pages : 637 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Computational Physics by : Jos Thijssen

Download or read book Computational Physics written by Jos Thijssen and published by Cambridge University Press. This book was released on 2007-03-22 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2007, this second edition is for graduate students and researchers in theoretical, computational and experimental physics.

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)

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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.

High Performance Computing in Science and Engineering ́16

Author : Wolfgang E. Nagel
Publisher : Springer
ISBN 13 : 3319470663
Total Pages : 666 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis High Performance Computing in Science and Engineering ́16 by : Wolfgang E. Nagel

Download or read book High Performance Computing in Science and Engineering ́16 written by Wolfgang E. Nagel and published by Springer. This book was released on 2017-01-11 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in supercomputer simulation. It includes the latest findings from leading researchers using systems from the High Performance Computing Center Stuttgart (HLRS) in 2016. The reports cover all fields of computational science and engineering ranging from CFD to computational physics and from chemistry to computer science with a special emphasis on industrially relevant applications. Presenting findings of one of Europe’s leading systems, this volume covers a wide variety of applications that deliver a high level of sustained performance. The book covers the main methods in high-performance computing. Its outstanding results in achieving the best performance for production codes are of particular interest for both scientists and engineers. The book comes with a wealth of color illustrations and tables of results.

Entropy and the Quantum

Author : Robert Sims
Publisher : American Mathematical Soc.
ISBN 13 : 0821852477
Total Pages : 216 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Entropy and the Quantum by : Robert Sims

Download or read book Entropy and the Quantum written by Robert Sims and published by American Mathematical Soc.. This book was released on 2010-11-04 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a pedagogical introduction to quantum mechanics and to some of the mathematics that has been motivated by this field. They are a product of the school ``Entropy and the Quantum'', which took place in Tucson, Arizona, in 2009. They have been written primarily for young mathematicians, but they will also prove useful to more experienced analysts and mathematical physicists. In the first contribution, William Faris introduces the mathematics of quantum mechanics. Robert Seiringer and Eric Carlen review certain recent developments in stability of matter and analytic inequalities, respectively. Bruno Nachtergaele and Robert Sims review locality results for quantum systems, and Christopher King deals with additivity conjectures and quantum information theory. The final article, by Christian Hainzl, describes applications of analysis to the Shandrasekhar limit of stellar masses.

Strongly Correlated Systems

Author : Adolfo Avella
Publisher : Springer Science & Business Media
ISBN 13 : 3642351069
Total Pages : 350 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Strongly Correlated Systems by : Adolfo Avella

Download or read book Strongly Correlated Systems written by Adolfo Avella and published by Springer Science & Business Media. This book was released on 2013-04-05 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

Introduction to the Functional Renormalization Group

Author : Peter Kopietz
Publisher : Springer
ISBN 13 : 3642050948
Total Pages : 380 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Introduction to the Functional Renormalization Group by : Peter Kopietz

Download or read book Introduction to the Functional Renormalization Group written by Peter Kopietz and published by Springer. This book was released on 2010-04-22 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The renormalization group (RG) has nowadays achieved the status of a meta-theory, which is a theory about theories. The theory of the RG consists of a set of concepts and methods which can be used to understand phenomena in many different ?elds of physics, ranging from quantum ?eld theory over classical statistical mechanics to nonequilibrium phenomena. RG methods are particularly useful to understand phenomena where ?uctuations involving many different length or time scales lead to the emergence of new collective behavior in complex many-body systems. In view of the diversity of ?elds where RG methods have been successfully applied, it is not surprising that a variety of apparently different implementations of the RG idea have been proposed. Unfortunately, this makes it somewhat dif?cult for beginners to learn this technique. For example, the ?eld-theoretical formulation of the RG idea looks at the ?rst sight rather different from the RG approach pioneered by Wilson, the latter being based on the concept of the effective action which is ite- tively calculated by successive elimination of the high-energy degrees of freedom. Moreover, the Wilsonian RG idea has been implemented in many different ways, depending on the particular problem at hand, and there seems to be no canonical way of setting up the RG procedure for a given problem.

Polarons in Bulk Materials and Systems With Reduced Dimensionality

Author : G. Iadonisi
Publisher : IOS Press
ISBN 13 : 1614990174
Total Pages : 468 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Polarons in Bulk Materials and Systems With Reduced Dimensionality by : G. Iadonisi

Download or read book Polarons in Bulk Materials and Systems With Reduced Dimensionality written by G. Iadonisi and published by IOS Press. This book was released on 2006-05-22 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: An enormous theoretical effort has been made to treat electron-phonon coupled systems, with particular emphasis on Many Body aspects for dense electron systems, taking into account continuum as well as lattice polaron effects. Treating such aspects of polaron theory has been made possible because of powerful Many Body techniques which include: Exact Diagonalization techniques, Quantum Monte Carlo approaches, Density Matrix renormalization group and Dynamical Mean Field Theory. All these advances in polaron theory needed to be accompanied by: (i) an equally important advance in material research which produced many new materials such as the high Tc cuprates, the manganites and nickelates and the fullerines; (ii) as well as significant advances in the refinement of experimental analysis and, in particular, the spectroscopic means such as Angel Resolved Photoemission Spectroscopy, X Ray Absorption Spectroscopy (EXAFS, XANES), Pulsed Neutron Diffraction measurements allowing to study the local dynamical lattice de-formations and optical spectroscopy including time resolved measurements. The scope and purpose of this publication is to review both these theoretical and experimental advances which occurred over the last few decades and to introduce the study of such systems, where both strong electron-electron correlations and large electron-phonon coupling strengths play important roles.

Theoretical Methods for Strongly Correlated Electrons

Author : David Sénéchal
Publisher : Springer Science & Business Media
ISBN 13 : 0387217177
Total Pages : 362 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Theoretical Methods for Strongly Correlated Electrons by : David Sénéchal

Download or read book Theoretical Methods for Strongly Correlated Electrons written by David Sénéchal and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.

Quantum World Of Ultra-cold Atoms And Light, The - Book Iii: Ultra-cold Atoms

Author : Gardiner Crispin W
Publisher : World Scientific
ISBN 13 : 178634419X
Total Pages : 584 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Quantum World Of Ultra-cold Atoms And Light, The - Book Iii: Ultra-cold Atoms by : Gardiner Crispin W

Download or read book Quantum World Of Ultra-cold Atoms And Light, The - Book Iii: Ultra-cold Atoms written by Gardiner Crispin W and published by World Scientific. This book was released on 2017-09-07 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Many-Particle Physics

Author : Holger Fehske
Publisher : Springer Science & Business Media
ISBN 13 : 3540746854
Total Pages : 774 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computational Many-Particle Physics by : Holger Fehske

Download or read book Computational Many-Particle Physics written by Holger Fehske and published by Springer Science & Business Media. This book was released on 2007-12-07 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for the real state of play in computational many-particle physics? Look no further. This book presents an overview of state-of-the-art numerical methods for studying interacting classical and quantum many-particle systems. A broad range of techniques and algorithms are covered, and emphasis is placed on their implementation on modern high-performance computers. This excellent book comes complete with online files and updates allowing readers to stay right up to date.

High Performance Computing in Science and Engineering ' 06

Author : Wolfgang E. Nagel
Publisher : Springer Science & Business Media
ISBN 13 : 3540361839
Total Pages : 538 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis High Performance Computing in Science and Engineering ' 06 by : Wolfgang E. Nagel

Download or read book High Performance Computing in Science and Engineering ' 06 written by Wolfgang E. Nagel and published by Springer Science & Business Media. This book was released on 2007-07-26 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state-of-the-art in simulation on supercomputers. Leading researchers present results achieved on systems of the High Performance Computing Center Stuttgart (HLRS) for the year 2006. The reports cover all fields of computational science and engineering ranging from CFD via computational physics and chemistry to computer science with a special emphasis on industrially relevant applications. The book comes with illustrations and tables.