20 citations · 40 across the 11 of their papers we have counts for
11 papers
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…
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…
Phase transitions in coupled Ising chains and SO()-symmetric spin chains
Yohei Fuji, Sylvain Capponi, Lukas Devos +1
We investigate the nature of quantum phase transitions in a (1+1)-dimensional field theory composed of copies of the Ising conformal field theory interacting via competing rele…
Gapped spinful phases obtained via Gutzwiller projections of Euler states
Thorsten B. Wahl, Lukas Devos, Robert-Jan Slager
Gutzwiller projections of non-interacting chiral topological phases are known to give rise to fractional, topologically ordered chiral phases. Here, we carry out a similar construc…
TensorKit.jl: A Julia package for large-scale tensor computations, with a hint of category theory
Lukas Devos, Jutho Haegeman
TensorKitjl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries. This paper introduces the design philosophy, core…
Quantitative Description of Strongly Correlated Materials by Combining Downfolding Techniques and Tensor Networks
Daan Vrancken, Simon Ganne, Daan Verraes +5
We present a high-accuracy procedure for electronic structure calculations of strongly correlated materials. To address limitations in current electronic structure methods, we empl…
Finite-size scaling on the torus with periodic projected entangled-pair states
Gleb Fedorovich, Lukas Devos, Jutho Haegeman +3
An efficient algorithm is constructed for contracting two-dimensional tensor networks under periodic boundary conditions. The central ingredient is a novel renormalization step tha…
Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains
Sylvain Capponi, Lukas Devos, Philippe Lecheminant +2
We investigate the nature of the quantum phase transition in modulated SU(N) Heisenberg spin chains. In the odd-N case, the transition separates a trivial non-degenerate phase to a…
Fermionic tensor network methods
Quinten Mortier, Lukas Devos, Lander Burgelman +5
We show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows to use tensor…
The Haldane gap in the SU(3) [3 0 0] Heisenberg chain
Lukas Devos, Laurens Vanderstraeten, Frank Verstraete
We calculate the Haldane gap of the spin Heisenberg model using variational uniform fully symmetric matrix product states, and find that…
Contrasting pseudo-criticality in the classical two-dimensional Heisenberg and models: zero-temperature phase transition versus finite-temperature crossover
Lander Burgelman, Lukas Devos, Bram Vanhecke +2
Tensor-network methods are used to perform a comparative study of the two-dimensional classical Heisenberg and models. We demonstrate that uniform matrix product st…