Matrix Product States: Symmetries and Two-Body Hamiltonians

Details Matrix Product States: Symmetries and Two-Body Hamiltonians Matrix Product States: Symmetries and Two-Body Hamiltonians

2009-01-15

arxiv.org/abs/0901.2223v1

Phys. Rev. A 79, 042308 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

PDFLatex, 12 pages and 6 figures

Scientific paper

10.1103/PhysRevA.79.042308

We characterize the conditions under which a translationally invariant matrix product state (MPS) is invariant under local transformations. This allows us to relate the symmetry group of a given state to the symmetry group of a simple tensor. We exploit this result in order to prove and extend a version of the Lieb-Schultz-Mattis theorem, one of the basic results in many-body physics, in the context of MPS. We illustrate the results with an exhaustive search of SU(2)--invariant two-body Hamiltonians which have such MPS as exact ground states or excitations.

Affiliated with

Also associated with

No associations

Rating

Matrix Product States: Symmetries and Two-Body Hamiltonians 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 Matrix Product States: Symmetries and Two-Body Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matrix Product States: Symmetries and Two-Body Hamiltonians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-589801