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Symmetry Breaking and the Geometry of Reduced Density Matrices
V. Zauner, D. Draxler, L. Vanderstraeten +2
The concept of symmetry breaking and the emergence of corresponding local order parameters constitute the pillars of modern day many body physics. The theory of quantum entanglemen…
Matrix product operators for symmetry-protected topological phases: Gauging and edge theories
Dominic J. Williamson, Nick Bultinck, Michael Mariën +3
Projected entangled pair states (PEPS) provide a natural ansatz for the ground states of gapped, local Hamiltonians in which global characteristics of a quantum state are encoded i…
Truncating an exact Matrix Product State for the XY model: transfer matrix and its renormalisation
Marek M. Rams, Valentin Zauner, Matthias Bal +2
We discuss how to analytically obtain an -- essentially infinite -- Matrix Product State (MPS) representation of the ground state of the XY model. On the one hand this allows to il…
Matrix product states for Hamiltonian lattice gauge theories
Boye Buyens, Karel Van Acoleyen, Jutho Haegeman +1
Over the last decade tensor network states (TNS) have emerged as a powerful tool for the study of quantum many body systems. The matrix product states (MPS) are one particular case…
Shadows of Anyons
Jutho Haegeman, Valentin Zauner, Norbert Schuch +1
The eigenvalue structure of the quantum transfer matrix is known to encode essential information about the elementary excitations. Here we study transfer matrices of quantum states…
Characterizing Topological Order with Matrix Product Operators
Mehmet Burak Şahinoğlu, Dominic Williamson, Nick Bultinck +4
One of the most striking features of quantum phases that exhibit topological order is the presence of long range entanglement that cannot be detected by any local order parameter.…