Efficient Matrix Product State Method for periodic boundary conditions

Details Efficient Matrix Product State Method for periodic boundary conditions Efficient Matrix Product State Method for periodic boundary conditions

2008-01-13

arxiv.org/abs/0801.1947v3

Phys. Rev. B 81, 081103(R) (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

Final published version

Scientific paper

10.1103/PhysRevB.81.081103

We introduce an efficient method to calculate the ground state of one-dimensional lattice models with periodic boundary conditions. The method works in the representation of Matrix Product States (MPS), related to the Density Matrix Renormalization Group (DMRG) method. It improves on a previous approach by Verstraete et al. We introduce a factorization procedure for long products of MPS matrices, which reduces the computational effort from m^5 to m^3, where m is the matrix dimension, and m ~ 100 - 1000 in typical cases. We test the method on the S=1/2 and S=1 Heisenberg chains. It is also applicable to non-translationally invariant cases. The new method makes ground state calculations with periodic boundary conditions about as efficient as traditional DMRG calculations for systems with open boundaries.

Affiliated with

Also associated with

No associations

Rating

Efficient Matrix Product State Method for periodic boundary conditions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Efficient Matrix Product State Method for periodic boundary conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Efficient Matrix Product State Method for periodic boundary conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472942