Time evolution of an infinite projected entangled pair state: An efficient algorithm

P Czarnik, J Dziarmaga, P Corboz - Physical Review B, 2019 - APS
An infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a
quantum state on an infinite 2D lattice whose accuracy is controlled by the bond dimension …

Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models

MM Rams, P Czarnik, L Cincio - Physical Review X, 2018 - APS
We analyze the problem of extracting the correlation length from infinite matrix product states
(MPS) and corner transfer matrix (CTM) simulations. When the correlation length is …

Time evolution of an infinite projected entangled pair state: Neighborhood tensor update

J Dziarmaga - Physical Review B, 2021 - APS
The simple update (SU) and full update (FU) are the two paradigmatic time evolution
algorithms for a tensor network known as the infinite projected entangled pair state (iPEPS) …

Time evolution of an infinite projected entangled pair state: A gradient tensor update in the tangent space

J Dziarmaga - Physical Review B, 2022 - APS
Time evolution of an infinite two-dimensional (2D) many body quantum lattice system can be
described by the Suzuki-Trotter decomposition applied to the infinite projected entangled …

Simulation of three-dimensional quantum systems with projected entangled-pair states

PCG Vlaar, P Corboz - Physical Review B, 2021 - APS
Tensor network algorithms have proven to be very powerful tools for studying one-and two-
dimensional quantum many-body systems. However, their application to three-dimensional …

Finite-temperature tensor network study of the Hubbard model on an infinite square lattice

A Sinha, MM Rams, P Czarnik, J Dziarmaga - Physical Review B, 2022 - APS
The Hubbard model is a longstanding problem in the theory of strongly correlated electrons
and a very active one in the experiments with ultracold fermionic atoms. Motivated by current …

Efficient representation of minimally entangled typical thermal states in two dimensions via projected entangled pair states

A Sinha, MM Rams, J Dziarmaga - Physical Review B, 2024 - APS
The minimally entangled typical thermal states (METTS) are an ensemble of pure states,
equivalent to the Gibbs thermal state, designed with an efficient tensor network …

Thermodynamic properties of the Shastry-Sutherland model throughout the dimer-product phase

A Wietek, P Corboz, S Wessel, B Normand, F Mila… - Physical Review …, 2019 - APS
The thermodynamic properties of the Shastry-Sutherland model have posed one of the
longest-lasting conundrums in frustrated quantum magnetism. Over a wide range on both …

Finite correlation length scaling with infinite projected entangled pair states at finite temperature

P Czarnik, P Corboz - Physical Review B, 2019 - APS
We study second-order finite-temperature phase transitions of the two-dimensional quantum
Ising and interacting honeycomb fermion models using infinite projected entangled pair …

Efficient tensor network algorithm for layered systems

PCG Vlaar, P Corboz - Physical Review Letters, 2023 - APS
Strongly correlated layered 2D systems are of central importance in condensed matter
physics, but their numerical study is very challenging. Motivated by the enormous successes …