499 citations · 1.2k across the 20 of their papers we have counts for
21 papers
Finite-Element Matrix Product States for Continuum Models in One Dimension
Akshay Shankar, Karel Van Acoleyen, Jutho Haegeman
We present a matrix product state framework for simulating one-dimensional quantum many-body systems in the continuum using non-orthogonal single-particle basis sets. By mapping th…
Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics
Daan Maertens, Nick Bultinck, Karel Van Acoleyen
We construct two free fermion lattice models exhibiting Hawking pair creation. Specifically, we consider the simplest case of a d=1+1 massless Dirac fermion, for which the Hawking…
The Chiral Gross-Neveu model on the lattice via a Landau-forbidden phase transition
Gertian Roose, Jutho Haegeman, Karel Van Acoleyen +2
We study the phase diagram of the -dimensional Gross-Neveu model with both and interaction terms on a spatial lattice. The continuous…
Lattice regularisation and entanglement structure of the Gross-Neveu model
Gertian Roose, Nick Bultinck, Laurens Vanderstraeten +3
We construct a Hamiltonian lattice regularisation of the -flavour Gross-Neveu model that manifestly respects the full symmetry, preventing the appearance of any…
Entanglement compression in scale space: from the multiscale entanglement renormalization ansatz to matrix product operators
Karel Van Acoleyen, Andrew Hallam, Matthias Bal +3
The multiscale entanglement renormalization ansatz (MERA) provides a constructive algorithm for realizing wavefunctions that are inherently scale invariant. Unlike conformally inva…
Simulating Lattice Gauge Theories within Quantum Technologies
M. C. Bañuls, R. Blatt, J. Catani +17
Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum…
A scaling hypothesis for matrix product states
Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen +2
We revisit the question of describing critical spin systems and field theories using matrix product states, and formulate a scaling hypothesis in terms of operators, eigenvalues of…
The entanglement of distillation for gauge theories
Karel Van Acoleyen, Nick Bultinck, Jutho Haegeman +3
We study the entanglement structure of lattice gauge theories from the local operational point of view, and, similar to Soni and Trivedi (arXiv:1510.07455), we show that the usual…
Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy
Michaël Mariën, Koenraad M. R. Audenaert, Karel Van Acoleyen +1
We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement en…
Matrix product states for gauge field theories
Boye Buyens, Jutho Haegeman, Karel Van Acoleyen +2
The matrix product state formalism is used to simulate Hamiltonian lattice gauge theories. To this end, we define matrix product state manifolds which are manifestly gauge invarian…
Edge theories in Projected Entangled Pair State models
S. Yang, L. Lehman, D. Poilblanc +4
We study the edge physics of gapped quantum systems in the framework of Projected Entangled Pair State (PEPS) models. We show that the effective low-energy model for any region act…
Entanglement rates and area laws
Karel Van Acoleyen, Michaël Mariën, Frank Verstraete
We prove an upper bound on the maximal rate at which a Hamiltonian interaction can generate entanglement in a bipartite system. The scaling of this bound as a function of the subsy…
Galileons from Lovelock actions
Karel Van Acoleyen, Jos Van Doorsselaere
We demonstrate how, for an arbitrary number of dimensions, the Galileon actions and their covariant generalizations can be obtained through a standard Kaluza-Klein compactification…
An operational view on the holographic information bound
Karel Van Acoleyen
We study the covariant holographic entropy bound from an operational standpoint. Therefore we consider the physical limit for observations on a light-sheet. A light-sheet is a part…
On the cosmological backreaction for large distance modifications of gravity
Karel Van Acoleyen
Every theory that modifies gravity at cosmological distances and that is not already ruled out by the Solar system observations must exhibit some nonlinear mechanism that turns off…
Consistent long distance modification of gravity from inverse powers of the curvature
Ignacio Navarro, Karel Van Acoleyen
In this paper we study long distance modifications of gravity obtained by considering actions that are singular in the limit of vanishing curvature. In particular, we showed in a p…
Dynamical mass generation in quantum field theory : some methods with application to the Gross-Neveu model and Yang-Mills theory
D. Dudal, K. Van Acoleyen, H. Verschelde
We introduce some techniques to investigate dynamical mass generation. The Gross-Neveu model (GN) is used as a toy model, because the GN mass gap is exactly known, making it possib…
Avoiding the Landau-pole in perturbative QCD
K. Van Acoleyen, H. Verschelde
We propose an alternative perturbative expansion for QCD. All scheme and scale dependence is reduced to one free parameter. Fixing this parameter with a fastest apparent convergenc…
Dynamical mass generation by source inversion: calculating the mass gap of the chiral Gross-Neveu model
K. Van Acoleyen, J. A. Gracey, H. Verschelde
We probe the U(N) chiral Gross-Neveu model with a source-term . We find an expression for the renormalization scheme and scale invariant source , as a function of th…
Dynamical mass generation by source inversion: Calculating the mass gap of the Gross-Neveu model
K. Van Acoleyen, H. Verschelde
We probe the U(N) Gross-Neveu model with a source-term . We find an expression for the renormalization scheme and scale invariant source , as a function of the ge…
A 2 Loop 2PPI Analysis of at Finite Temperature
G. Smet, T. Vanzielighem, K. Van Acoleyen +1
We calculate the finite temperature effective potential of at the two loop order of the 2PPI expansion. This expansion contains all diagrams which remain connected when two…