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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.…
Topological and Trivial Valence-Bond Orders in Higher-Spin Kitaev Models
Xing-Yu Zhang, Qi Yang, Philippe Corboz +2
We investigate the quantum phases of higher-spin Kitaev models using tensor network methods. Our results reveal distinct bond-ordered phases for spin-1, spin-, and sp…
Accelerating two-dimensional tensor network optimization by preconditioning
Xing-Yu Zhang, Qi Yang, Philippe Corboz +2
We revisit gradient-based optimization for infinite projected entangled pair states (iPEPS), a tensor network ansatz for simulating many-body quantum systems. This approach is hind…
Gauging the variational optimization of projected entangled-pair states
Wei Tang, Laurens Vanderstraeten, Jutho Haegeman
Projected entangled-pair states (PEPS) constitute a powerful variational ansatz for capturing ground state physics of two-dimensional quantum systems. However, accurately computing…