4 papers
Derivative of the truncated singular value and eigen decomposition
Jan Naumann
Recently developed applications in the field of machine learning and computational physics rely on automatic differentiation techniques, that require stable and efficient linear al…
Variational optimization of projected entangled-pair states on the triangular lattice
Jan Naumann, Jens Eisert, Philipp Schmoll
We introduce a general corner transfer matrix renormalization group algorithm tailored to projected entangled-pair states on the triangular lattice. By integrating automatic differ…
Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires
Tingyu Gao, Niklas Tausendpfund, Erik L. Weerda +3
Chiral spin liquids (CSLs) are exotic phases of interacting spins in two dimensions, characterized by long-range entanglement and fractional excitations. We construct a local Hamil…
Variationally optimizing infinite projected entangled-pair states at large bond dimensions: A split corner transfer matrix renormalization group approach
Jan Naumann, Erik Lennart Weerda, Jens Eisert +2
Projected entangled-pair states (PEPS) have become a powerful tool for studying quantum many-body systems in the condensed matter and quantum materials context, particularly with a…