109 citations · 461 across the 20 of their papers we have counts for
20 papers
On the origin of finite entanglement scaling
Luke Hodgkiss, Laurens Lootens, Atsushi Ueda +2
The concept of finite entanglement scaling forms one of the pillars on which the tensor network ecosystem is built. In this paper, we resolve the open problem of determining the ac…
Perfect Particle Transmission through Duality Defects
Atsushi Ueda, Vic Vander Linden, Laurens Lootens +3
We study wavepackets that propagate across (a) topological interfaces in quantum spin systems exhibiting non-invertible symmetries and (b) duality defects coupling dual theories. W…
Trading Mathematical for Physical Simplicity: Bialgebraic Structures in Matrix Product Operator Symmetries
Yuhan Liu, Andras Molnar, Xiao-Qi Sun +3
Despite recent advances in the lattice representation theory of (generalized) symmetries, many simple quantum spin chains of physical interest are not included in the rigid framewo…
From gauging to duality in one-dimensional quantum lattice models
Bram Vancraeynest-De Cuiper, José Garre-Rubio, Frank Verstraete +3
Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensio…
Entanglement and the density matrix renormalisation group in the generalised Landau paradigm
Laurens Lootens, Clement Delcamp, Frank Verstraete
The fields of entanglement theory and tensor networks have recently emerged as central tools for characterising quantum phases of matter. In this article, we determine the entangle…
Interacting chiral fermions on the lattice with matrix product operator norms
Jutho Haegeman, Laurens Lootens, Quinten Mortier +3
We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice while preserving unitarity and locality and without breaking the chiral symmetry. The f…
Local Jordan-Wigner transformations on the torus
Oliver O'Brien, Laurens Lootens, Frank Verstraete
We present a locality preserving unitary mapping from fermions to qubits on a 2D torus whilst accounting for the mapping of topological sectors. Extending the work of Shukla et al.…
Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models
Laurens Lootens, Clement Delcamp, Dominic Williamson +1
A systematic approach to dualities in symmetric (1+1)d quantum lattice models has recently been proposed in terms of module categories over the symmetry fusion categories. By chara…
Invertible bimodule categories and generalized Schur orthogonality
Jacob C. Bridgeman, Laurens Lootens, Frank Verstraete
The Schur orthogonality relations are a cornerstone in the representation theory of groups. We utilize a generalization to weak Hopf algebras to provide a new, readily verifiable c…
Dualities in one-dimensional quantum lattice models: topological sectors
Laurens Lootens, Clement Delcamp, Frank Verstraete
It has been a long-standing open problem to construct a general framework for relating the spectra of dual theories to each other. Here, we solve this problem for the case of one-d…
Classifying phases protected by matrix product operator symmetries using matrix product states
José Garre-Rubio, Laurens Lootens, András Molnár
We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a loc…
What is the group of a quantum group? From to MPO representations of
Weronika Wiesiolek, Romain Couvreur, Dmitry Chernyak +2
Generalized symmetries realized by matrix product operators (MPOs) have so far been tied to discrete data leaving continuous symmetries outside the framework. Quantum groups fill t…
Mapping between Morita equivalent string-net states with a constant depth quantum circuit
Laurens Lootens, Bram Vancraeynest-De Cuiper, Norbert Schuch +1
We construct a constant depth quantum circuit that maps between Morita equivalent string-net models. Due to its constant depth and unitarity, the circuit cannot alter the topologic…
Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners
Laurens Lootens, Clement Delcamp, Gerardo Ortiz +1
We present a systematic recipe for generating and classifying duality transformations in one-dimensional quantum lattice systems. Our construction emphasizes the role of global sym…
A critical lattice model for a Haagerup conformal field theory
Robijn Vanhove, Laurens Lootens, Maarten Van Damme +4
We use the formalism of strange correlators to construct a critical classical lattice model in two dimensions with the \emph{Haagerup fusion category} as input data…
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…
Topological aspects of the critical three-state Potts model
Robijn Vanhove, Laurens Lootens, Hong-Hao Tu +1
We explore the topological defects of the critical three-state Potts spin system on the torus, Klein bottle and cylinder. A complete characterization is obtained by breaking down t…
Matrix product operator symmetries and intertwiners in string-nets with domain walls
Laurens Lootens, Jürgen Fuchs, Jutho Haegeman +2
We provide a description of virtual non-local matrix product operator (MPO) symmetries in projected entangled pair state (PEPS) representations of string-net models. Given such a P…
Cardy states, defect lines and chiral operators of coset CFTs on the lattice
Laurens Lootens, Robijn Vanhove, Frank Verstraete
We construct Cardy states, defect lines and chiral operators for rational coset conformal field theories on the lattice. The bulk theory is obtained by taking the overlap between t…
Galois conjugated tensor fusion categories and non-unitary CFT
Laurens Lootens, Robijn Vanhove, Jutho Haegeman +1
We provide a generalisation of the matrix product operator (MPO) formalism for string-net projected entangled pair states (PEPS) to include non-unitary solutions of the pentagon eq…