176 citations · 298 across the 10 of their papers we have counts for
10 papers
Large- and tensor-network methods for strongly-interacting topological insulators
E. Tirrito, S. Hands, A. Bermudez
The study of correlation effects in topological phases of matter can benefit from a multidisciplinary approach that combines techniques drawn from condensed matter, high-energy phy…
Topological chiral currents in the Gross-Neveu model extension
E. Tirrito, M. Lewenstein, A. Bermudez
We unveil an interesting connection of Lorentz-violating quantum field theories, studied in the context of the standard model extension, and Hubbard-type models of topological crys…
Large- Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
L. Ziegler, E. Tirrito, M. Lewenstein +2
Four-Fermi quantum field theories in (2+1) dimensions lie among the simplest models in high-energy physics, the understanding of which requires a non-perturbative lattice formulati…
Cold atoms meet lattice gauge theory
Monika Aidelsburger, Luca Barbiero, Alejandro Bermudez +19
The central idea of this review is to consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is…
Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
E. Tirrito, M. Rizzi, G. Sierra +2
Understanding the robustness of topological phases of matter in the presence of interactions poses a difficult challenge in modern condensed matter, showing interesting connections…
Characterizing the quantum field theory vacuum using temporal Matrix Product states
Emanuele Tirrito, Neil J. Robinson, Maciej Lewenstein +2
In this paper we construct the continuous Matrix Product State (MPS) representation of the vacuum of the field theory corresponding to the continuous limit of an Ising model. We do…
Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
A. Bermudez, E. Tirrito, M. Rizzi +2
We show that a Wilson-type discretization of the Gross-Neveu model, a fermionic N-flavor quantum field theory displaying asymptotic freedom and chiral symmetry breaking, can serve…
Lecture Notes of Tensor Network Contractions
Shi-Ju Ran, Emanuele Tirrito, Cheng Peng +4
Tensor network (TN), a young mathematical tool of high vitality and great potential, has been undergoing extremely rapid developments in the last two decades, gaining tremendous su…
Studying Criticality and Excitations of One Dimensional Systems by Time Matrix Product States
Emanuele Tirrito, Luca Tagliacozzo, Maciej Lewenstein +1
(Please refer to arXiv:1810.08050, which has completely different aims but contains all the main contents of this paper) In this work, we propose to access the information of criti…
An efficient perturbation theory of density matrix renormalization group
Emanuele Tirrito, Shi-Ju Ran, Andrew J. Ferris +2
Density matrix renormalization group (DMRG) is one of the most powerful numerical methods available for many-body systems. In this work, we develop a perturbation theory of DMRG (P…