Lattice Boltzmann Density

Lattice Boltzmann

Introduction It’s time for an easier topic than the last time. I noticed – but I also expected it – that I have more success with projects like the Solar System than with a project like the Numerical Renormalization Group. There are mainly two reasons for it: it looks more spectacular to see a 3D … Read more

iTEBD

Time Evolving Block Decimation

Introduction I already mentioned Matrix Product States in the Density Matrix Renormalization Group post. I thought it would be a nice topic to have on this blog, but since I already implemented DMRG, I’ll have something a little different related with the subject. With the information presented here (mostly in the links) you could go … Read more

DMRG sweep

Density Matrix Renormalization Group

Introduction As promised in the Numerical Renormalization Group post, I implemented a Density Matrix Renormalization Group program. As I start writing this post, the program is already on GitHub1. It’s quite basic, currently it is implemented only for Heisenberg model chains, for both spin 1/2 and 1. It runs only for even number of sites … Read more

CO2 molecule

The Hartree-Fock program

Introduction After some posts about the theory it is time to present the Hartree-Fock program1. You might find the previous posts useful, along with the links in there: How to solve a quantum many-body problem, The Hartree-Fock method. Here is the program in action (the final version might have minor differences): Although it doesn’t show … Read more