Piotr Czarnik

Variational tensor network renormalization in imaginary time: Benchmark results in the Hubbard model at finite temperature

A Gibbs operator

Projected entangled pair states at finite temperature: Imaginary time evolution with ancillas

{e}^{\ensuremath{-}\ensuremath{\beta}H}

Variational Approach to Projected Entangled Pair States at Finite Temperature

for a two-dimensional (2D) lattice system with a Hamiltonian

Overcoming the sign problem at finite temperature: Quantum tensor network for the orbital eg model on an infinite square lattice

H

Projected entangled pair states at finite temperature: Iterative self-consistent bond renormalization for exact imaginary time evolution

can be represented by a 3D tensor network, with the third dimension being the imaginary time (inverse temperature)

Fermionic projected entangled pair states at finite temperature

\ensuremath{\beta}

Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature

. Coarse graining the network along

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

\ensuremath{\beta}

Time evolution of an infinite projected entangled pair state: An algorithm from first principles

results in a 2D projected entangled-pair operator (PEPO) with a finite bond dimension. The coarse graining is performed by a tree tensor network of isometries. They are optimized variationally to maximize the accuracy of the PEPO as a representation of the 2D thermal state

Order in Quantum Compass and Orbital eg Models

{e}^{\ensuremath{-}\ensuremath{\beta}H}