Computer simulation of condensed matter: from molecular dynamics to quantum Monte Carlo and Tensor Networks

Basic course given by Sandro Sorella, Mario Collura

Term: 1

Start: 02-10-2019 End: 17-12-2019 Room: 131

Credits: 6

Schedule: Wed 14:00 - 16:00, Thu 14:00 - 16:00

Program

  • Overview on probability theory.
  • Classical Monte Carlo: Markov chains 
  • Classical Monte Carlo: Metropolis algorithm, practical implementation
  • Classical Langevin molecular dynamics at finite temperature
  • Second order Newton and Langevin molecular dynamics
  • Hartree and Hartree-Fock approximation
  • Correlation effects: Exact diagonalization
  • Iterative diagonalization: Lanczos and Davidson algorithms
  • Numerical Renormalization Group (NRG):
    • NRG recipe for impurity problems
    • NRG for noninteracting particles
  • From NRG to Density Matrix Renormalization Group (DMRG)
    • DMRG algorithms
    • Programming details

Online resources

Filename Size Date Modified
Simulazioni.pdf 1.08 MB 2017-09-19 15:29:59
lectures.pdf 4.00 MB 2018-12-06 11:37:10