869 citations · 6.9k across the 101 of their papers we have counts for
103 papers
Finite-Element Matrix Product States for Continuum Models in One Dimension
Akshay Shankar, Karel Van Acoleyen, Jutho Haegeman
We present a matrix product state framework for simulating one-dimensional quantum many-body systems in the continuum using non-orthogonal single-particle basis sets. By mapping th…
Implicit differentiation of tensor network algorithms
Lander Burgelman, Anna Francuz, Paul Brehmer +4
The current leading approach to the variational optimization of projected entangled-pair states (PEPS) is based on automatic differentiation, which allows for a convenient evaluati…
Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series
Victor Vanthilt, Maarten Van Damme, Jutho Haegeman +2
We introduce a matrix product operator (MPO) encoding of the Magnus expansion and the Dyson series for one-dimensional quantum lattice models with time-dependent Hamiltonians. The…
PEPSKit.jl: A Julia package for projected entangled-pair state simulations
Paul Brehmer, Lander Burgelman, Zheng-Yuan Yue +3
We present PEPSKitjl, a Julia package for simulating two-dimensional quantum many-body systems with infinite projected entangled-pair states (iPEPS). PEPSKitjl builds on the…
Lowering the temperature of two-dimensional fermionic tensor networks with cluster expansions
Sander De Meyer, Atsushi Ueda, Yuchi He +2
Representing the time-evolution operator as a tensor network constitutes a key ingredient in several algorithms for studying quantum lattice systems at finite temperature or in a n…
Combining matrix product states and mean-field theory to capture magnetic order in quasi-1D cuprates
Quentin Staelens, Daan Verraes, Daan Vrancken +3
We study quasi-one-dimensional strongly correlated materials using a multi-step approach based on density functional theory, downfolding techniques, and tensor-network simulations.…