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Quantum Monte Carlo approaches for correlated systems

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. Prov...

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Detalles Bibliográficos
Autores principales: Becca, Federico, Sorella, Sandro
Lenguaje:eng
Publicado: Cambridge University Press 2017
Acceso en línea:https://dx.doi.org/10.1017/9781316417041
http://cds.cern.ch/record/2280686
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author Becca, Federico
Sorella, Sandro
author_facet Becca, Federico
Sorella, Sandro
author_sort Becca, Federico
collection CERN
description 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.
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spelling cern-22806862021-04-21T19:05:21Zdoi:10.1017/9781316417041http://cds.cern.ch/record/2280686engBecca, FedericoSorella, SandroQuantum Monte Carlo approaches for correlated systemsOver 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.Cambridge University Pressoai:cds.cern.ch:22806862017
spellingShingle Becca, Federico
Sorella, Sandro
Quantum Monte Carlo approaches for correlated systems
title Quantum Monte Carlo approaches for correlated systems
title_full Quantum Monte Carlo approaches for correlated systems
title_fullStr Quantum Monte Carlo approaches for correlated systems
title_full_unstemmed Quantum Monte Carlo approaches for correlated systems
title_short Quantum Monte Carlo approaches for correlated systems
title_sort quantum monte carlo approaches for correlated systems
url https://dx.doi.org/10.1017/9781316417041
http://cds.cern.ch/record/2280686
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