Quantum Monte Carlo Approaches for Correlated Systems.pdf

Quantum Monte Carlo Approaches for Correlated Systems

Federico Becca

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. Starting with an overview of variational wave functions, it features 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 also described, from foundations to a detailed description of its algorithms. Other topics discussed include optimization techniques, real-time dynamics, and projection methods, including Greens function, reptation, and auxiliary-field Monte Carlo, from basic definitions to advanced algorithms for efficient codes, and concluding with recent developments on the continuum space. This book 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 Physics and Chemistry, ed. by M. P. Nightingale and C. J. Umrigar, NATO ASI Ser. C 525, Kluwer (1999). Cyrus J. Umrigar. What is Quantum Monte Carlo? Stochastic implementation of the power method for projecting out the dominant eigenvector of a matrix or integral kernel. \Dominant state" means state with largest absolute eigenvalue. If we repeatedly multiply an

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Quantum Monte Carlo Approaches for Correlated Systems.pdf

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Quantum Monte Carlo Approaches for Correlated … 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