A quantum magnetic analogue to the critical point of water

JL Jiménez, SPG Crone, E Fogh, ME Zayed, R Lortz… - Nature, 2021 - nature.com
At the liquid–gas phase transition in water, the density has a discontinuity at atmospheric
pressure; however, the line of these first-order transitions defined by increasing the applied …

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 …

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 …

Stable ipepo tensor-network algorithm for dynamics of two-dimensional open quantum lattice models

C Mc Keever, MH Szymańska - Physical Review X, 2021 - APS
Being able to accurately describe the dynamics steady states of driven and/or dissipative but
quantum correlated lattice models is of fundamental importance in many areas of science …

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 …

Variational approach to projected entangled pair states at finite temperature

P Czarnik, J Dziarmaga - Physical Review B, 2015 - APS
The projected entangled pair state (PEPS) ansatz can represent a thermal state in a strongly
correlated system. We introduce a variational algorithm to optimize this 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 …