000 01626 a2200205 4500
020 _a9781107006423
040 _cIIT Kanpur
041 _aeng
082 _a530.12
_bG932q
100 _aGubernatis, J. E.
245 _aQuantum Monte Carlo methods
_balgorithms for lattice models
_c J. E. Gubernatis, N. Kawashima. and P. Werner
260 _bCambridge University Press
_c2016
_aCambridge
300 _axiii, 488p
520 _aFeaturing 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.
650 _aMany-body problem
650 _aMonte Carlo method
700 _aKawashima, N.
700 _aWerner, P.
942 _cBK
999 _c559827
_d559827