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Edge theories in Projected Entangled Pair State models
S. Yang, L. Lehman, D. Poilblanc +4
We study the edge physics of gapped quantum systems in the framework of Projected Entangled Pair State (PEPS) models. We show that the effective low-energy model for any region act…
Field-induced superfluids and Bose liquids in Projected Entangled Pair States
Didier Poilblanc, Norbert Schuch, J. Ignacio Cirac
In two-dimensional incompressible quantum spin liquids, a large enough magnetic field generically induces "doping" of polarized S=1 triplons or S=1/2 spinons. We review a number of…
Purifications of multipartite states: limitations and constructive methods
Gemma De las Cuevas, Norbert Schuch, David Pérez-García +1
We analyze the description of quantum many-body mixed states using matrix product states and operators. We consider two such descriptions: (i) as a matrix product density operator…
Projected entangled-pair states can describe chiral topological states
T. B. Wahl, H. -H. Tu, N. Schuch +1
We show that Projected Entangled-Pair States (PEPS) in two spatial dimensions can describe chiral topological states by explicitly constructing a family of such states with a non-t…
Condensed Matter Applications of Entanglement Theory
Norbert Schuch
These are lecture notes from the 44th IFF Spring School "Quantum Information Processing" in Juelich, discussing applications of entanglement theory in condensed matter. The focus o…
Elementary excitations in gapped quantum spin systems
Jutho Haegeman, Spyridon Michalakis, Bruno Nachtergaele +3
For quantum lattice systems with local interactions, the Lieb-Robinson bound acts as an alternative for the strict causality of relativistic systems and allows to prove many intere…