
Lecture notes on Quantum Monte Carlo
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Contents: Reptation Quantum Monte Carlo; Phase separation in the 2D Hubbard model; Calculations of exchange frequencies with path integral Monte Carlo; Monte Carlo Methods in Nuclear Physics; Pathint . . . . . 
Computational Studies of Quantum Spin Systems
Author:
Anders W. Sandvik
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These lecture notes introduce quantum spin systems and several computational methods for studying their groundstate and finitetemperature properties. Symmetrybreaking and critical phenomena are fir . . . . . 
Numerical methods for strongly correlated electrons
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S. Sorella, G. Santoro, F. Becca
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Contents: HartreeFock theory, Exact Diagonalization, Lanczos Alghorithm, Langevin dynamics, Stochastic minimization, Variational Monte Carlo, Green Function Monte Carlo. 
Computing quantum phase transitions
Author:
Thomas Vojta
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This article first gives a concise introduction to quantum phase transitions, emphasizing similarities with and differences to classical thermal transitions. After pointing out the computational chall . . . . . 
Electronic Structure Quantum Monte Carlo
Author:
Michal Bajdich and Lubos Mitas
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Contents:introduction; quantum monte carlo methods; nodal properties of fermionic wave functions; Pfaffian pairing wave functions; Backflow correlations in slater and pfaffian wave functions; example . . . . . 
The Loop Algorithm
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H.G. Evertz
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A review of the Loop Algorithm, its generalizations, and its relation to some other Monte Carlo techniques is given. The loop algorithm is a Quantum Monte Carlo procedure which employs nonlocal change . . . . . 
Quantum Monte Carlo methods for the solution of the Schroedinger equation for molecular systems
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Alán AspuruGuzik, William A. Lester Jr
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This is a book chapter soon to appear (2002) in the "Handbook for Numerical Analysis" volume dedicated to "Computational Chemistry" edited by Claude Le Bris. The series editors are P.G. Ciarlet and J. . . . . . 
Classical and quantum Monte Carlo simulations
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Matthias Troyer
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Contents: Monte Carlo Integration; Classical Monte Carlo Simulations; Cluster Algorithms; The WangLandau Algorithm; Quantum Monte Carlo Algorithms; Stochastic Series Expansion; The WangLandau Algo . . . . . 
Quamtum Monte Carlo Simulation of solids
Author:
Foulkes, Mitas, Needs, Rajagopal
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This article describes the variational and fixednode diffusion quantum Monte Carlo methods and how they may be used to calculate the properties of manyelectron systems. 
Introduction to Configuration Path Integral Monte Carlo
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T. Schoof, S. Groth, M. Bonitz
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In lowtemperature highdensity plasmas quantum effects of the electrons are becoming increasingly important. This requires the development of new theoretical and computational tools. Quantum Monte Ca . . . . . 
Introduction to Quantum Monte Carlo Applied to the Electron Gas
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D. M. Ceperley
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In these lectures, I will briefly review some of the Quantum Monte Carlo (QMC) methods that have been used to calculate properties of the electron gas and review properties that have been computed w . . . . . 
Classical and Quantum Monte Carlo Algorithms and Exact Diagonalization
Author:
Matthias Troyer
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Contents: Introduction; Monte Carlo integration; Classical Monte Carlo simulations; The quantum Monte Carlo loop algorithm; Exact diagonalization.

Applications of quantum Monte Carlo methods in condensed systems
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Jindrich Kolorenc, Lubos Mitas
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Abstract: The quantum Monte Carlo methods represent a powerful and broadly applicable computational tool for finding very accurate solutions of the stationary Schroedinger equation for atoms, mole . . . . . 
Variational wave functions for frustrated magnetic models
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Federico Becca, Luca Capriotti, Alberto Parola, Sandro Sorella
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Variational wave functions containing electronic pairing and suppressed charge fluctuations (i.e., projected BCS states) have been proposed as the paradigm for disordered magnetic systems (including s . . . . . 
Introduction to the variational and diffusion Monte Carlo methods
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Julien Toulouse (LCT), Roland Assaraf (LCT), C. J. Umrigar (LAS
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We provide a pedagogical introduction to the two main variants of realspace quantum Monte Carlo methods for electronicstructure calculations: variational Monte Carlo (VMC) and diffusion Monte Carlo . . . . . 
Introduction to the variational and diffusion Monte Carlo methods
Author:
Julien Toulouse (LCT), Roland Assaraf (LCT), C. J. Umrigar (LAS
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We provide a pedagogical introduction to the two main variants of realspace quantum Monte Carlo methods for electronicstructure calculations: variational Monte Carlo (VMC) and diffusion Monte Carlo . . . . . 
Relieving the fermionic and the dynamical sign problem: Multilevel Blocking Monte Carlo
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R. Egger, C.H. Mak
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This article gives an introduction to the multilevel blocking (MLB) approach to both the fermion and the dynamical sign problem in pathintegral Monte Carlo simulations. MLB is able to substantially r . . . . . 
Reptation Quantum Monte Carlo
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S. Baroni, S. Moroni
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They present a new technics used to develop a new quantum simulation method which allows to calculate the groundstate expectation values of local observables without any mixed estimates. 
Fermion Nodes
Author:
David Ceperley
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Review about fermion nodes problems. 
Path Integral Monte Carlo Methods for Fermions
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D. M. Ceperley
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This article discusses the basic properties of the path integral method for continuum fermions, focusing on the restricted path integral (RPIMC) approach. 
Solving quantum manybody problems with random walkers
Author:
David M. Ceperley
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They review random walks and the quantum Monte Carlo methods used to simulate the ground state of manybody quantum systems, namely variational Monte Carlo and projector Monte Carlo. 
Introduction to Quantum Monte Carlo simulations for fermions
Author:
Raimundo R. dos Santos
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They tutorially review the determinantal Quantum Monte Carlo method for fermionic systems, using the Hubbard model as a case study. Starting with the basic ingredients of Monte Carlo simulations for c . . . . . 
Introduction to the Diffusion Monte Carlo Method
Author:
Ioan Kosztin, Byron Faber, Klaus Schulten
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A selfcontained and tutorial presentation of the diffusion Monte Carlo method for determining the ground state energy and wave function of quantum systems is provided. First, the theoretical basis of . . . . . 
Quantum Monte Carlo methods in physics and chemistry
Author:
M. P. Nightingale and C. J. Umrigar
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Contents: Basics, quantum Monte Carlo and statistical mechanics; Stochastic diagonalization; Quantum Monte Carlo for lattice bosons; Variational Monte Carlo in solids; Response functions from quantum . . . . . 
Quantum Simulations of Complex ManyBody Systems
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edited by J. Grotendorst D. Marx A. Muramats
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 Quantum Simulations of Complex ManyBody Systems:
From Theory to Algorithms.
Contents: TimeIndependent Quantum Simulation Methods; TimeDependent Quantum Simulation Methods; Numerical Methods and P . . . . . 
