Author: Tyler Michelson BryantPublisher:
ISBN:
Category :
Languages : en
Pages : 254
Book Description
Linked-cluster Studies of Quantum Lattice Models
Author: Tyler Michelson BryantPublisher:
ISBN:
Category :
Languages : en
Pages : 254
Book Description
Statistical Mechanics of Lattice Systems
Author: Sacha FriedliPublisher: Cambridge University Press
ISBN: 1107184827
Category : Mathematics
Languages : en
Pages : 643
Book Description
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Series Expansion Methods for Strongly Interacting Lattice Models
Author: Jaan OitmaaPublisher: Cambridge University Press
ISBN: 0521842425
Category : Science
Languages : en
Pages : 338
Book Description
A comprehensive guide to series expansion methods for lattice models in theoretical physics.
The Random-Cluster Model
Author: Geoffrey R. GrimmettPublisher: Springer Science & Business Media
ISBN: 3540328912
Category : Mathematics
Languages : en
Pages : 392
Book Description
The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.
Quantum Monte Carlo Methods
Author: James GubernatisPublisher: Cambridge University Press
ISBN: 1316483126
Category : Science
Languages : en
Pages : 503
Book Description
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.
Tensor Network Contractions
Author: Shi-Ju RanPublisher: Springer Nature
ISBN: 3030344894
Category : Science
Languages : en
Pages : 160
Book Description
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.
Condensed Matter Theories
Author: S. FantoniPublisher: Springer Science & Business Media
ISBN: 1461536863
Category : Science
Languages : en
Pages : 446
Book Description
The XIV International Workshop on Condensed Matter Theories has been held at the Elba International Physics Center (EIPC), Marciana Marina, Isola d'Elba, Italy, from 18-23 June, 1990. The Workshop started in 1977 in Sao Paolo, Brazil, as the 1st Pan American Workshop on Condensed Matter Theories, with the purpose of bringing together scientists from the Western countries, working in many different topics of Condensed Matter Theories, to facilitate exchanges of ideas and technologies from different areas as well as collaborations among the scientists. The next five Workshops were held at Trieste, Italy (1978), in Buenos Aires, Argentina ( 1979), in Caracas, Venezuela (1980), in Mexico City, Mexico (1981) and in St. Louis, Missouri, U. S. A. (1982). Given the international dimension reached by the Workshop, it was decided to extend it into an International Workshop, which was held for the first time in Altenberg, Germany (1983). The next editions took place in Granada, Spain (1984), San Francisco, California, U. S. A. (1985), Argonne, Illinois, U. S. A. (1986), Oulu, Finland (1987), Taxco, Mexico (1988) and Campos do Jordao, Brasil (1989). Many scientists have contributed to the development of the various editions of the Work shop. However, a particular mention has to be made to Profs. Manuel de Llano and Angel Plastino who initially proposed the Workshop and carried it forward, and to Prof. J . W. Clark, whose efforts have been of immense help to its recent developments.
Theory of Spin Lattices and Lattice Gauge Models
Author: John W. ClarkPublisher: Springer
ISBN:
Category : Computers
Languages : en
Pages : 216
Book Description
The accomplishments and the available expertise of scientists working on spin systems, lattice gauge models, and quantum liquids and solids has culminated in an extraordinary opportunity for rapid and efficient development of realistic strategies and algorithms of ab initio theoretical analysis of conventional and exotic condensed-matter systems. This volume presents the latest results in the interdisciplinary field of lattice many-body systems. These include magnetism and phase transitions and lattice gauge problems in quantum field theory. Also treated are strongly correlated systems that help to unify many-body problems in solid-state physics, crystallography, and materials sciences and that helped their quantitative understanding.
Nuclear Science Abstracts
Author: Quantum Fields on a Lattice
Author: Istvan MontvayPublisher: Cambridge University Press
ISBN: 9780521599177
Category : Mathematics
Languages : en
Pages : 512
Book Description
Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.