Entanglement Hamiltonians: from field theory to lattice models and experiments
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 …
field theory and statistical mechanics models, and recent applications in the context of …
Entanglement Hamiltonians for non-critical quantum chains
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 …
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 …
express the symmetry-resolved fidelities as Fourier transforms of charged fidelities, for which …
Fermionic logarithmic negativity in the Krawtchouk chain
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 …
fermion chain through the lens of the fermionic logarithmic negativity. Focus is on the …
[HTML][HTML] Entanglement of inhomogeneous free fermions on hyperplane lattices
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 …
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
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 …
subsystem consisting of two separated intervals. In this case, one has a peculiar long-range …
[HTML][HTML] Entanglement of free fermions on Hamming graphs
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 …
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 …
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
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 …
graphs that take advantage of methods pertaining to signal processing and algebraic …
Entanglement of free fermions on Johnson graphs
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 …
sets of neighborhoods is computed. For a subsystem composed of a single neighborhood …