18 citations · 50 across the 10 of their papers we have counts for
10 papers
Universal scaling of spatially extended zero modes in inhomogeneous SSH chains
Gilles Parez, Nicolas Crampé, Quentin Labriet +2
Protected zero modes are a hallmark of topological phases of matter and are exponentially localized at sharp interfaces between distinct gapped phases. We investigate how this pict…
Inhomogeneous SSH models and the doubling of orthogonal polynomials
Nicolas Crampé, Quentin Labriet, Lucia Morey +2
We analyze Su-Schrieffer-Heeger (SSH) models using the doubling method for orthogonal polynomial sequences. This approach yields the analytical spectrum and exact eigenstates of th…
Entanglement of Inhomogeneous Free Bosons and Orthogonal Polynomials
Pierre-Antoine Bernard, Rafael I. Nepomechie, Gilles Parez +3
In this paper, we investigate the ground-state entanglement entropy in inhomogeneous free-boson models in one spatial dimension. We develop a powerful method to extract the leading…
Entanglement Hamiltonian and orthogonal polynomials
Pierre-Antoine Bernard, Riccarda Bonsignori, Viktor Eisler +2
We study the entanglement Hamiltonian for free-fermion chains with a particular form of inhomogeneity. The hopping amplitudes and chemical potentials are chosen such that the singl…
Distinctive features of inhomogeneous spin chains
Pierre-Antoine Bernard, Gilles Parez, Luc Vinet
This review presents recent developments in the study of inhomogeneous XX spin chains, highlighting results on perfect state transfer, out-of-equilibrium stationary dynamics in ope…
Fermionic logarithmic negativity in the Krawtchouk chain
Gabrielle Blanchet, Gilles Parez, Luc Vinet
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 Krawt…
Entanglement of free-fermion systems, signal processing and algebraic combinatorics
Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +2
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 comb…
Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
Pierre-Antoine Bernard, Zachary Mann, Gilles Parez +1
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-…
Multipartite information of free fermions on Hamming graphs
Gilles Parez, Pierre-Antoine Bernard, Nicolas Crampé +1
We investigate multipartite information and entanglement measures in the ground state of a free-fermion model defined on a Hamming graph. Using the known diagonalization of the adj…
Entanglement of inhomogeneous free fermions on hyperplane lattices
Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +3
We introduce an inhomogeneous model of free fermions on a -dimensional lattice with continuous parameters that control the hopping strength between adjacent sites…