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Quantum Monte Carlo Methods - Algorithms for Lattice Models (Hardcover)
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Quantum Monte Carlo Methods - Algorithms for Lattice Models (Hardcover)
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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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