Quantum Monte Carlo Approaches for Correlated Systems

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Publisher : Cambridge University Press
ISBN 13 : 1108547311
Total Pages : 287 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Quantum Monte Carlo Approaches for Correlated Systems by : Federico Becca

Download or read book Quantum Monte Carlo Approaches for Correlated Systems written by Federico Becca and published by Cambridge University Press. This book was released on 2017-11-30 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several decades, computational approaches to studying strongly-interacting systems have become increasingly varied and sophisticated. This book provides a comprehensive introduction to state-of-the-art quantum Monte Carlo techniques relevant for applications in correlated systems. Providing a clear overview of variational wave functions, and featuring a detailed presentation of stochastic samplings including Markov chains and Langevin dynamics, which are developed into a discussion of Monte Carlo methods. The variational technique is described, from foundations to a detailed description of its algorithms. Further topics discussed include optimisation techniques, real-time dynamics and projection methods, including Green's function, reptation and auxiliary-field Monte Carlo, from basic definitions to advanced algorithms for efficient codes, and the book concludes with recent developments on the continuum space. Quantum Monte Carlo Approaches for Correlated Systems provides an extensive reference for students and researchers working in condensed matter theory or those interested in advanced numerical methods for electronic simulation.

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.

Strongly Correlated Systems

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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.

Quantum Monte Carlo Methods in Physics and Chemistry

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792355519
Total Pages : 488 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Quantum Monte Carlo Methods in Physics and Chemistry by : M.P. Nightingale

Download or read book Quantum Monte Carlo Methods in Physics and Chemistry written by M.P. Nightingale and published by Springer Science & Business Media. This book was released on 1998-12-31 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been a considerable growth in interest in Monte Carlo methods, and quantum Monte Carlo methods in particlular. Clearly, the ever-increasing computational power available to researchers, has stimulated the development of improved algorithms, and almost all fields in computational physics and chemistry are affected by their applications. Here we just mention some fields that are covered in the lecture notes contained in this volume, viz. electronic structure studies of atoms, molecules and solids, nuclear structure, and low- or zero-temperature studies of strongly-correlated quantum systems, both of the continuum and lattice variety, and cooperative phenomena in classical systems. Although each area of application may have its own peculiarities, requiring specialized solutions, all share the same basic methodology. It was with the intention of bringing together researchers and students from these various areas that the NATO Advanced Study Institute on Quantum Monte Carlo Methods in Physics and Chemistry was held at Cornell University from 12 to 24 July, 1998. This book contains material presented at the Institute in a series of mini courses in quantum Monte Carlo methods. The program consisted of lectures predominantly of a pedagogical nature, and of more specialized seminars. The levels varied from introductory to advanced, and from basic methods to applications; the program was intended for an audience working towards the Ph.D. level and above. Despite the essentially pedagogic nature of the Institute, several of the lectures and seminars contained in this volume present recent developments not previously published.

Quantum Monte Carlo Studies of Novel Phases in Strongly Correlated Systems

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (837 download)

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Book Synopsis Quantum Monte Carlo Studies of Novel Phases in Strongly Correlated Systems by : Zi Yang Meng

Download or read book Quantum Monte Carlo Studies of Novel Phases in Strongly Correlated Systems written by Zi Yang Meng and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Monte Carlo Approaches for Correlated Systems

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107129931
Total Pages : 287 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Quantum Monte Carlo Approaches for Correlated Systems by : Federico Becca

Download or read book Quantum Monte Carlo Approaches for Correlated Systems written by Federico Becca and published by Cambridge University Press. This book was released on 2017-11-30 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to state-of-the-art quantum Monte Carlo techniques for applications in strongly-interacting systems. Including variational wave functions, stochastic samplings, the variational technique, optimisation techniques, real-time dynamics and projection methods and recent developments on the continuum space. An extensive resource for students and researchers.

Theoretical Methods for Strongly Correlated Electrons

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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 Monte Carlo Methods

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Publisher : Cambridge University Press
ISBN 13 : 1316483126
Total Pages : 503 pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Quantum Monte Carlo Methods by : James Gubernatis

Download or read book Quantum Monte Carlo Methods written by James Gubernatis and published by Cambridge University Press. This book was released on 2016-06-02 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring detailed explanations of the major algorithms used in quantum Monte Carlo simulations, this is the first textbook of its kind to provide a pedagogical overview of the field and its applications. The book provides a comprehensive introduction to the Monte Carlo method, its use, and its foundations, and examines algorithms for the simulation of quantum many-body lattice problems at finite and zero temperature. These algorithms include continuous-time loop and cluster algorithms for quantum spins, determinant methods for simulating fermions, power methods for computing ground and excited states, and the variational Monte Carlo method. Also discussed are continuous-time algorithms for quantum impurity models and their use within dynamical mean-field theory, along with algorithms for analytically continuing imaginary-time quantum Monte Carlo data. The parallelization of Monte Carlo simulations is also addressed. This is an essential resource for graduate students, teachers, and researchers interested in quantum Monte Carlo techniques.

Emergent Phenomena in Correlated Matter

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

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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:

Quantum Chemistry and Dynamics of Excited States

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Publisher : John Wiley & Sons
ISBN 13 : 1119417759
Total Pages : 52 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Quantum Chemistry and Dynamics of Excited States by : Leticia González

Download or read book Quantum Chemistry and Dynamics of Excited States written by Leticia González and published by John Wiley & Sons. This book was released on 2021-02-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.

Recent Advances in Quantum Monte Carlo Methods — Part II

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Publisher : World Scientific
ISBN 13 : 9814488607
Total Pages : 328 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Recent Advances in Quantum Monte Carlo Methods — Part II by : William A Lester Jr.

Download or read book Recent Advances in Quantum Monte Carlo Methods — Part II written by William A Lester Jr. and published by World Scientific. This book was released on 2002-02-27 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book consists of 16 chapters written by some of the most notable researchers in the field of quantum Monte Carlo, highlighting the advances made since Lester Jr.'s 1997 monograph with the same title. It may be regarded as the proceedings of the Symposium on Advances in Quantum Monte Carlo Methods held during the Pacifichem meeting in December 2000, but the contributions go beyond what was presented there. Contents:Theory/Algorithm DevelopmentProperties of Ground State Atoms and MoleculesExcited Electronic StatesLarge Systems and ClustersCondensed Matter Readership: Graduate students and researchers in theoretical chemistry, computational physics, theoretical condensed matter physics, applied physics and applied mathematics. Keywords:

Bosonization and Strongly Correlated Systems

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Publisher : Cambridge University Press
ISBN 13 : 0521617197
Total Pages : 452 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Bosonization and Strongly Correlated Systems by : Alexander O. Gogolin

Download or read book Bosonization and Strongly Correlated Systems written by Alexander O. Gogolin and published by Cambridge University Press. This book was released on 2004-12-16 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.

Recent Advances in Quantum Monte Carlo Methods

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Publisher : World Scientific
ISBN 13 : 9810249454
Total Pages : 329 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Recent Advances in Quantum Monte Carlo Methods by : W. A. Lester

Download or read book Recent Advances in Quantum Monte Carlo Methods written by W. A. Lester and published by World Scientific. This book was released on 1997 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consist of 16 chapters written by some of the most notable researchers in the field of quantum Monte Carlo, highlighting the advances made since Lester Iris 1997 monograph with the same title. It may be regarded as the proceedings of the Symposium on Advances in Quantum Monte Carlo Methods held during the Pacifichem meeting in December 2000, but the contributions go beyond what was presented there.

Quantum Monte Carlo

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Publisher : OUP USA
ISBN 13 : 0195310101
Total Pages : 200 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis Quantum Monte Carlo by : James B. Anderson

Download or read book Quantum Monte Carlo written by James B. Anderson and published by OUP USA. This book was released on 2007-04-05 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo methods are a class of computational algorithms for simulating the behavior of a wide range of various physical and mathematical systems (with many variables). Their utility has increased with general availability of fast computers, and new applications are continually forthcoming. The basic concepts of Monte Carlo are both simple and straightforward and rooted in statistics and probability theory, their defining characteristic being that the methodology relies on random or pseudo-random sequences of numbers. It is a technique of numerical analysis based on the approximate solution of a problem using repeated sampling experiments and observing the proportion of times a given property is satisfied. The term Monte Carlo was first used to describe calculational methods based on chance in the 1940s, but the methods themselves preceded the term by as much as a century. Quantum Monte Carlo (QMC) first appeared in 1982 and similarly was preceded by development of the related calculational methodology. The success of QMC methods over the past few decades has been remarkable, and this book will clearly demonstrate that success in its discussion of applications. For isolated molecules, the basic material of chemistry, QMC methods have produced exact solutions of the Schroedinger equation for very small systems and the most accurate solutions available for very large systems. The range of applications is impressive: folding of protein molecules, interactions in liquids, structure modeling in crystals and enzymes, quantum dots, designing heat shields and aerodynamic forms, architecture, design, business and economics, and even cinema and video games (3D modeling). This book takes a similar approach to Henry Schaefers classic book Quantum Chemistry (OUP, 1984 now a Dover edition), collecting summaries of some of the most important papers in the quantum Monte Carlo literature, tying everything together with analysis and discussion of applications. Quantum Monte Carlo is a reference book for quantum Monte Carlo applications, belonging near the desk of every quantum chemist, physicist, and a wide range of scientists and engineers across many disciplines, destined to become a classic.

Monte Carlo Methods in Ab Initio Quantum Chemistry

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Publisher : World Scientific
ISBN 13 : 9814506753
Total Pages : 320 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Monte Carlo Methods in Ab Initio Quantum Chemistry by : B L Hammond

Download or read book Monte Carlo Methods in Ab Initio Quantum Chemistry written by B L Hammond and published by World Scientific. This book was released on 1994-03-29 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic theory and application of the Monte Carlo method to the electronic structure of atoms and molecules. It assumes no previous knowledge of the subject, only a knowledge of molecular quantum mechanics at the first-year graduate level. A working knowledge of traditional ab initio quantum chemistry is helpful, but not essential. Some distinguishing features of this book are: Clear exposition of the basic theory at a level to facilitate independent study.Discussion of the various versions of the theory: diffusion Monte Carlo, Green's function Monte Carlo, and release node Monte Carlo.Commentary on the important features that distinguish this stochastic approach from ab initio methods. Contents:Introduction to Monte Carlo MethodsVariational MethodsGreen's Function MethodsTreating FermionsVariational Trial FunctionsExcited StatesElectronic PropertiesDerivatives and Finite DifferencesHeavy AtomsAtomic UnitsEvaluating the Trial FunctionSample Diffusion Monte Carlo Program Readership: Chemists and physicists.

Effective Models for Low-Dimensional Strongly Correlated Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9780735403093
Total Pages : 340 pages
Book Rating : 4.4/5 (3 download)

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Book Synopsis Effective Models for Low-Dimensional Strongly Correlated Systems by : Ghassan George Batrouni

Download or read book Effective Models for Low-Dimensional Strongly Correlated Systems written by Ghassan George Batrouni and published by Springer Science & Business Media. This book was released on 2006-02-23 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings cover the most recent developments in the fields of high temperature superconductivity, magnetic materials and cold atoms in traps. Special emphasis is given to recently developed numerical and analytical methods, such as effective model Hamiltonians, density matrix renormalization group as well as quantum Monte Carlo simulations. Several of the contributions are written by the pioneers of these methods.

Markov Chain Monte Carlo Methods in Quantum Field Theories

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Publisher : Springer Nature
ISBN 13 : 3030460444
Total Pages : 134 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Markov Chain Monte Carlo Methods in Quantum Field Theories by : Anosh Joseph

Download or read book Markov Chain Monte Carlo Methods in Quantum Field Theories written by Anosh Joseph and published by Springer Nature. This book was released on 2020-04-16 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is a comprehensive collection of analytical and numerical techniques that can be used to extract the non-perturbative physics of quantum field theories. The intriguing connection between Euclidean Quantum Field Theories (QFTs) and statistical mechanics can be used to apply Markov Chain Monte Carlo (MCMC) methods to investigate strongly coupled QFTs. The overwhelming amount of reliable results coming from the field of lattice quantum chromodynamics stands out as an excellent example of MCMC methods in QFTs in action. MCMC methods have revealed the non-perturbative phase structures, symmetry breaking, and bound states of particles in QFTs. The applications also resulted in new outcomes due to cross-fertilization with research areas such as AdS/CFT correspondence in string theory and condensed matter physics. The book is aimed at advanced undergraduate students and graduate students in physics and applied mathematics, and researchers in MCMC simulations and QFTs. At the end of this book the reader will be able to apply the techniques learned to produce more independent and novel research in the field.