Physics – Quantum Physics
Scientific paper
2010-01-21
Annals of Physics 325, 2153 (2010)
Physics
Quantum Physics
54 pages, 110 diagrams, 1 figure. v2: minor changes. v3: accepted version, minor changes
Scientific paper
10.1016/j.aop.2010.05.008
We introduce a framework for characterizing Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) in terms of symmetries. This allows us to understand how PEPS appear as ground states of local Hamiltonians with finitely degenerate ground states and to characterize the ground state subspace. Subsequently, we apply our framework to show how the topological properties of these ground states can be explained solely from the symmetry: We prove that ground states are locally indistinguishable and can be transformed into each other by acting on a restricted region, we explain the origin of the topological entropy, and we discuss how to renormalize these states based on their symmetries. Finally, we show how the anyonic character of excitations can be understood as a consequence of the underlying symmetries.
Cirac Ignacio
Perez-Garcia David
Schuch Norbert
No associations
LandOfFree
PEPS as ground states: degeneracy and topology 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 PEPS as ground states: degeneracy and topology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PEPS as ground states: degeneracy and topology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-249263