84 citations · 189 across the 8 of their papers we have counts for
8 papers
Implicit differentiation of tensor network algorithms
Lander Burgelman, Anna Francuz, Paul Brehmer +4
The current leading approach to the variational optimization of projected entangled-pair states (PEPS) is based on automatic differentiation, which allows for a convenient evaluati…
Stable and efficient differentiation of tensor network algorithms
Anna Francuz, Norbert Schuch, Bram Vanhecke
Gradient based optimization methods are the established state-of-the-art paradigm to study strongly entangled quantum systems in two dimensions with Projected Entangled Pair States…
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…
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…
Sonic horizons and causality in the phase transition dynamics
Debasis Sadhukhan, Aritra Sinha, Anna Francuz +4
A system gradually driven through a symmetry-breaking phase transition is subject to the Kibble-Zurek mechanism (KZM). As a consequence of the critical slowing down, its state cann…
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…
Space-time renormalization in phase transition dynamics
Anna Francuz, Jacek Dziarmaga, Bartlomiej Gardas +1
When a system is driven across a quantum critical point at a constant rate its evolution must become non-adiabatic as the relaxation time diverges at the critical point. Accord…