717 citations · 4.5k across the 117 of their papers we have counts for
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Finite temperature tensor network study of the Hubbard model on an infinite square lattice
Aritra Sinha, Marek M. Rams, Piotr Czarnik +1
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 cur…
Variational methods for characterizing matrix product operator symmetries
Anna Francuz, Laurens Lootens, Frank Verstraete +1
We present a method of extracting information about topological order from the ground state of a strongly correlated two-dimensional system represented by an infinite projected ent…
Is there a correlation length in a model with long-range interactions?
Debasis Sadhukhan, Jacek Dziarmaga
Considering an example of the long-range Kitaev model, we are looking for a correlation length in a model with long range interactions whose correlation functions away from a criti…
Quantum phase transition dynamics in the two-dimensional transverse-field Ising model
Markus Schmitt, Marek M. Rams, Jacek Dziarmaga +2
The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near the quantum phase transitions (QPTs). It is now well understood for the one-dimensional quantum…
Tensor network study of the magnetization plateau in the Shastry-Sutherland model at finite temperature
Piotr Czarnik, Marek M. Rams, Philippe Corboz +1
The two-dimensional infinite projected entangled pair states tensor network is evolved in imaginary time with the full update (FU) algorithm to simulate the Shastry-Sutherland mode…
Determining non-Abelian topological order from infinite projected entangled pair states
Anna Francuz, Jacek Dziarmaga
We generalize the method introduced in Phys. Rev. B 101, 041108 (2020) of extracting information about topological order from the ground state of a strongly correlated two-dimensio…
Determining topological order from infinite projected entangled pair states
Anna Francuz, Jacek Dziarmaga, Guifre Vidal +1
We present a method of extracting information about the topological order from the ground state of a strongly correlated two-dimensional system computed with the infinite projected…
Tensor network simulation of the Kitaev-Heisenberg model at finite temperature
Piotr Czarnik, Anna Francuz, Jacek Dziarmaga
We investigate the Kitaev-Heisenberg (KH) model at finite temperature using the exact environment full update (eeFU), introduced in Phys. Rev. B 99, 035115 (2019), which represents…
Time Evolution of an Infinite Projected Entangled Pair State: an Efficient Algorithm
Piotr Czarnik, Jacek Dziarmaga, Philippe Corboz
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 dimens…
Time Evolution of an Infinite Projected Entangled Pair State: an Algorithm from First Principles
Piotr Czarnik, Jacek Dziarmaga
A typical quantum state obeying the area law for entanglement on an infinite 2D lattice can be represented by a tensor network ansatz -- known as an infinite projected entangled pa…
Order in Quantum Compass and Orbital Models
Piotr Czarnik, Jacek Dziarmaga, Andrzej M. Oleś
We investigate thermodynamic phase transitions in the compass model and in orbital model on an infinite square lattice by variational tensor network renormalization (VTNR) in…
Overcoming the Sign Problem at Finite Temperature: Quantum Tensor Network for the Orbital Model on an Infinite Square Lattice
Piotr Czarnik, Jacek Dziarmaga, Andrzej M. Oleś
The variational tensor network renormalization approach to two-dimensional (2D) quantum systems at finite temperature is applied for the first time to a model suffering the notorio…
Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
Piotr Czarnik, Marek M. Rams, Jacek Dziarmaga
A Gibbs operator for a 2D lattice system with a Hamiltonian can be represented by a 3D tensor network, the third dimension being the imaginary time (inverse temperatu…
Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
Piotr Czarnik, Jacek Dziarmaga, Andrzej M. Oleś
Progress in describing thermodynamic phase transitions in quantum systems is obtained by noticing that the Gibbs operator for a two-dimensional (2D) lattice system with a…
Variational Approach to Projected Entangled Pair States at Finite Temperature
Piotr Czarnik, Jacek Dziarmaga
The projected entangled pair state (PEPS) ansatz can represent a thermal state in a strongly correlated system. We introduce a novel variational algorithm to optimize this tensor n…
Exotic Spin Order due to Orbital Fluctuations
Wojciech Brzezicki, Jacek Dziarmaga, Andrzej M. Oleś
We investigate the phase diagrams of the spin-orbital Kugel-Khomskii model for increasing system dimensionality: from the square lattice monolayer, via the bilayer to the cub…
Striped critical spin liquid in a spin-orbital entangled RVB state in a projected entangled-pair state representation
Piotr Czarnik, Jacek Dziarmaga
We introduce a spin-orbital entangled (SOE) resonating valence bond (RVB) state on a square lattice of spins- and orbitals represented by pseudospins-. Like the s…
Topological Order in an Entangled SU(2)XY Spin-Orbital Ring
Wojciech Brzezicki, Jacek Dziarmaga, Andrzej M. Oleś
We present rigorous topological order which emerges in a one-dimensional spin-orbital model due to the ring topology. Although an exact solution of a spin-orbital ring with SU(2) s…
Fermionic Projected Entangled Pair States at Finite Temperature
Piotr Czarnik, Jacek Dziarmaga
An algorithm for imaginary time evolution of a fermionic projected entangled pair state (PEPS) with ancillas from infinite temperature down to a finite temperature state is present…
Exotic spin orders driven by orbital fluctuations in the Kugel-Khomskii model
Wojciech Brzezicki, Jacek Dziarmaga, Andrzej M. Oleś
We study zero temperature phase diagram of the three-dimensional Kugel-Khomskii model on a cubic lattice using the cluster mean field theory and different perturbative expansions i…
Noncollinear Magnetic Order Stabilized by Entangled Spin-Orbital Fluctuations
Wojciech Brzezicki, Jacek Dziarmaga, Andrzej M. Oleś
Quantum phase transitions in the two-dimensional Kugel-Khomski model on a square lattice are studied using the plaquette mean field theory and the entanglement renormalization ansa…
Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
Piotr Czarnik, Lukasz Cincio, Jacek Dziarmaga
A projected entangled pair state (PEPS) with ancillas is evolved in imaginary time. This tensor network represents a thermal state of a 2D lattice quantum system. A finite temperat…
Spontaneous symmetry breaking in a generalized orbital compass model
Lukasz Cincio, Jacek Dziarmaga, Andrzej M. Oles
We introduce a generalized two-dimensional orbital compass model, which interpolates continuously from the classical Ising model to the orbital compass model with frustrated quantu…
Quantum phase transition in the one-dimensional compass model
Wojciech Brzezicki, Jacek Dziarmaga, Andrzej M. Oles
We introduce a one-dimensional model which interpolates between the Ising model and the quantum compass model with frustrated pseudospin interactions and $σ_i^xσ_{…