78 citations · 118 across the 3 of their papers we have counts for
5 papers
Matrix product state renormalization
Matthias Bal, Marek M. Rams, Valentin Zauner +2
The truncation or compression of the spectrum of Schmidt values is inherent to the matrix product state (MPS) approximation of one-dimensional quantum ground states. We provide a r…
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…
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…
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…
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…