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Quantum Monte Carlo methods : algorithms for lattice models / J.E. Gubernatis N. Kawashima and P. Werner.

By: Contributor(s): Material type: TextTextPublication details: Cambridge : Cambridge University Press, 2016.Description: xiii, 488 pages : illustrations ; 26 cmISBN:
  • 9781107006423
Subject(s): DDC classification:
  • 530.1201518282 23 G921
Contents:
1. Introduction -- 2. Monte Carlo basics -- 3. Data analysis -- 4. Monte Carlo for classical many-body problems -- 5. Quantum Monte Carlo primer -- 6. Finite-temperature quantum spin algorithms -- 7. Determinant method -- 8. Continuous-time impurity solvers -- 9. Variational Monte Carlo -- 10. Power methods -- 11. Fermion ground state methods -- 12. Analytic continuation -- 13. Parallelization.
Summary: 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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 530.1201518282 G921 (Browse shelf(Opens below)) Available 137589
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Monte Carlo basics --
3. Data analysis --
4. Monte Carlo for classical many-body problems --
5. Quantum Monte Carlo primer --
6. Finite-temperature quantum spin algorithms --
7. Determinant method --
8. Continuous-time impurity solvers --
9. Variational Monte Carlo --
10. Power methods --
11. Fermion ground state methods --
12. Analytic continuation --
13. Parallelization.

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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