869 citations · 6.9k across the 101 of their papers we have counts for
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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…
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.…
Transfer Matrices and Excitations with Matrix Product States
V. Zauner, D. Draxler, L. Vanderstraeten +6
We investigate the relation between static correlation functions in the ground state of local quantum many-body Hamiltonians and the dispersion relations of the corresponding low e…
Unifying time evolution and optimization with matrix product states
Jutho Haegeman, Christian Lubich, Ivan Oseledets +2
We show that the time-dependent variational principle provides a unifying framework for time-evolution methods and optimisation methods in the context of matrix product states. In…