The matrix product representations for all valence bond states

Details The matrix product representations for all valence bond states The matrix product representations for all valence bond states

2007-12-12

arxiv.org/abs/0712.2018v5

Phys. Rev. B 77, 094416 (2008)

Physics

Quantum Physics

24 pages, references added, the version which appears in the journal

Scientific paper

10.1103/PhysRevB.77.094416

We introduce a simple representation for irreducible spherical tensor operators of the rotation group of arbitrary integer or half integer rank and use these tensor operators to construct matrix product states corresponding to all the variety of valence-bond states proposed in the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction. These include the fully dimerized states of arbitrary spins, with uniform or alternating patterns of spins, which are ground states of Hamiltonians with nearest and next-nearest neighbor interactions, and the partially dimerized or AKLT/VBS (Valence Bond Solid) states, which are constructed from them by projection. The latter states are translation-invariant ground states of Hamiltonians with nearest-neighbor interactions.

Affiliated with

Also associated with

No associations

Rating

The matrix product representations for all valence bond states 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 The matrix product representations for all valence bond states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The matrix product representations for all valence bond states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662230