Where can I find the proper syntax required to perform SVD in dmrg tutorial ?

Question

I am trying to finish the tutorial 06 on dmrg. However, I am not able to find the help section on the website. I am facing issues in implementing SVD. Where can I find the proper syntax required to perform SVD in dmrg tutorial?
Note: that I am the c++ version of the ITensor package.

Answer 1

Hi asing,
For the C++ version the interface of the svd function is described and some examples given in the documentation here:
http://itensor.org/docs.cgi?vers=cppv3&page=classes/decomp

Click on the the link halfway down the page that say "Click to Show Example" to see a nice example of the interface. The Synopsis at the top shows one too.

The basic idea is that, given an ITensor with indices i,j,k,l, you pass the ones you want to end up on U to the svd function, like svd(T,{i,k}) if you want i and k to be on U, with the remaining indices going onto V.

In the context of DMRG, you should also pass truncation parameters to control the cost of the DMRG algorithm, so you should also pass values for the "MaxDim" and "Cutoff' named arguments, so like svd(T,{i,k}, {"MaxDim=", maxdim, "Cutoff=", cutoff}); where maxdim is some integer and cutoff is a real number.

Hope that helps. Also we have fully working examples of using our DMRG code if you want to look at those, such as in the sample folder and in the Code Formulas section of the C++ documentation.

Best,
Miles