234 citations · 1.6k across the 33 of their papers we have counts for
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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…
Finite correlation length scaling with infinite projected entangled-pair states
Philippe Corboz, Piotr Czarnik, Geert Kapteijns +1
We show how to accurately study 2D quantum critical phenomena using infinite projected entangled-pair states (iPEPS). We identify the presence of a finite correlation length in the…
Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models
Marek M. Rams, Piotr Czarnik, Lukasz Cincio
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 c…