Entanglement Hamiltonians: from field theory to lattice models and experiments

M Dalmonte, V Eisler, M Falconi… - Annalen der …, 2022 - Wiley Online Library
Results about entanglement (or modular) Hamiltonians of quantum many‐body systems in
field theory and statistical mechanics models, and recent applications in the context of …

Entanglement Hamiltonians for non-critical quantum chains

V Eisler, G Di Giulio, E Tonni… - Journal of Statistical …, 2020 - iopscience.iop.org
We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two
different free-particle systems: coupled harmonic oscillators and fermionic hopping models …

Symmetry-resolved Rényi fidelities and quantum phase transitions

G Parez - Physical Review B, 2022 - APS
We introduce a family of quantum Rényi fidelities and discuss their symmetry resolution. We
express the symmetry-resolved fidelities as Fourier transforms of charged fidelities, for which …

Fermionic logarithmic negativity in the Krawtchouk chain

G Blanchet, G Parez, L Vinet - Journal of Statistical Mechanics …, 2024 - iopscience.iop.org
The entanglement of non-complementary regions is investigated in an inhomogeneous free-
fermion chain through the lens of the fermionic logarithmic negativity. Focus is on the …

[HTML][HTML] Entanglement of inhomogeneous free fermions on hyperplane lattices

PA Bernard, N Crampé, RI Nepomechie, G Parez… - Nuclear Physics B, 2022 - Elsevier
We introduce an inhomogeneous model of free fermions on a (D− 1)-dimensional lattice with
D (D− 1)/2 continuous parameters that control the hopping strength between adjacent sites …

Local and non-local properties of the entanglement Hamiltonian for two disjoint intervals

V Eisler, E Tonni, I Peschel - Journal of Statistical Mechanics …, 2022 - iopscience.iop.org
We consider free-fermion chains in the ground state and the entanglement Hamiltonian for a
subsystem consisting of two separated intervals. In this case, one has a peculiar long-range …

[HTML][HTML] Entanglement of free fermions on Hamming graphs

PA Bernard, N Crampé, L Vinet - Nuclear Physics B, 2023 - Elsevier
Free fermions on Hamming graphs H (d, q) are considered and the entanglement entropy for
two types of subsystems is computed. For subsets of vertices that form Hamming subgraphs …

Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes

PA Bernard, Z Mann, G Parez… - Journal of Physics A …, 2023 - iopscience.iop.org
This study investigates the scaling behavior of the ground-state entanglement entropy in a
model of free fermions on folded cubes. An analytical expression is derived in the large …

Entanglement of free-fermion systems, signal processing and algebraic combinatorics

PA Bernard, N Crampé, RI Nepomechie… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper offers a review of recent studies on the entanglement of free-fermion systems on
graphs that take advantage of methods pertaining to signal processing and algebraic …

Entanglement of free fermions on Johnson graphs

PA Bernard, N Crampé, L Vinet - Journal of Mathematical Physics, 2023 - pubs.aip.org
Free fermions on Johnson graphs J (n, k) are considered, and the entanglement entropy of
sets of neighborhoods is computed. For a subsystem composed of a single neighborhood …