831 citations · 8k across the 103 of their papers we have counts for
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Lower Bounding Ground-State Energies of Local Hamiltonians Through the Renormalization Group
Ilya Kull, Norbert Schuch, Ben Dive +1
Given a renormalization scheme, we show how to formulate a tractable convex relaxation of the set of feasible local density matrices of a many-body quantum system. The relaxation i…
Detecting emergent continuous symmetries at quantum criticality
Mingru Yang, Bram Vanhecke, Norbert Schuch
New or enlarged symmetries can emerge at the low-energy spectrum of a Hamiltonian that does not possess the symmetries, if the symmetry breaking terms in the Hamiltonian are irrele…
Complete characterization of non-Abelian topological phase transitions and detection of anyon splitting with projected entangled pair states
Wen-Tao Xu, Jose Garre-Rubio, Norbert Schuch
It is well-known that many topological phase transitions of intrinsic Abelian topological phases are accompanied by condensation and confinement of anyons. However, for non-Abelian…
Entanglement spectra of non-chiral topological (2+1)-dimensional phases with strong time-reversal breaking, Li-Haldane state counting, and PEPS
Mark J. Arildsen, Norbert Schuch, Andreas W. W. Ludwig
The Li-Haldane correspondence [PRL 101, 010504 (2008)] is often used to help identify wave functions of (2+1)-D chiral topological phases (i.e., with non-zero chiral central charge…
Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states
Andras Molnar, Alberto Ruiz de Alarcón, José Garre-Rubio +3
Matrix Product Operators (MPOs) are tensor networks representing operators acting on 1D systems. They model a wide variety of situations, including communication channels with memo…
Locality optimization for parent Hamiltonians of Tensor Networks
Giuliano Giudici, J. Ignacio Cirac, Norbert Schuch
Tensor Network states form a powerful framework for both the analytical and numerical study of strongly correlated phases. Vital to their analytical utility is that they appear as…