Quantum Monte Carlo Approaches for Correlated Systems

ISBN-13: 9781107129931 / Angielski / Twarda / 2017 / 286 str.

Federico Becca; Sandro Sorella

Opis

A comprehensive introduction to state-of-the-art quantum Monte Carlo techniques for applications in strongly-interacting systems including a presentation of stochastic samplings.

Spis treści

Part I. Introduction: 1. Correlated models and wave functions; Part II. Probability and Sampling: 2. Probability theory; 3. Monte Carlo sampling and Markov chains; 4. Langevin molecular dynamics; Part III. Variational Monte Carlo: 5. Variational Monte Carlo; 6. Optimization of variational wave functions; 7. Time-dependent variational Monte Carlo; Part IV. Projection Techniques: 8. Green's function Monte Carlo; 9. Reptation quantum Monte Carlo; 10. Fixed-node approximation; 11. Auxiliary field quantum Monte Carlo; Part V. Advanced Topics: 12. Realistic simulations on the continuum; Appendix. Pseudo-random numbers generated by computers; References; Index.

O autorze

Becca, Federico Federico Becca is a researcher at the National Research Council (CNR) working in the theoretical group of the Condensed Matter section of the International School for Advanced Studies (SISSA) in Trieste. His research focuses on different aspects of correlated systems on the lattice. His major scientific contributions include advances in frustrated magnets, superconductivity from strong electronic correlation, disordered fermionic and bosonic models, and Mott metal-insulator transitions. Sorella, Sandro Sandro Sorella is Professor of Condensed Matter Physics at the International School of Advanced Studies (SISSA) in Trieste. His focus is on the study of strongly-correlated electron systems by advanced numerical simulation techniques based on quantum Monte Carlo. He has developed novel Monte Carlo algorithms that are now widely used and considered state-of-the-art in the field.