Quantum Monte Carlo Methods

Algorithms for Lattice Models

Nonfiction, Science & Nature, Science, Physics, General Physics, Computers, General Computing
Cover of the book Quantum Monte Carlo Methods by James Gubernatis, Naoki Kawashima, Philipp Werner, Cambridge University Press
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Author: James Gubernatis, Naoki Kawashima, Philipp Werner ISBN: 9781316481837
Publisher: Cambridge University Press Publication: June 2, 2016
Imprint: Cambridge University Press Language: English
Author: James Gubernatis, Naoki Kawashima, Philipp Werner
ISBN: 9781316481837
Publisher: Cambridge University Press
Publication: June 2, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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