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Equipartition of Entanglement in Quantum Hall States
Blagoje Oblak, Nicolas Regnault, Benoit Estienne
We study the full counting statistics (FCS) and symmetry-resolved entanglement entropies of integer and fractional quantum Hall states. For the filled lowest Landau level of spin-p…
Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries
Benoit Estienne, Yacine Ikhlef, Andrei Rotaru
We consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second Rényi entropy of an interval away from the b…
Ergodic Edge Modes in the 4D Quantum Hall Effect
Benoit Estienne, Blagoje Oblak, Jean-Marie Stéphan
The gapless modes on the edge of four-dimensional (4D) quantum Hall droplets are known to be anisotropic: they only propagate in one direction, foliating the 3D boundary into indep…
Universal signatures of Dirac fermions in entanglement and charge fluctuations
Valentin Crépel, Anna Hackenbroich, Nicolas Regnault +1
We investigate the entanglement entropy (EE) and charge fluctuations in models where the low energy physics is governed by massless Dirac fermions. We focus on the response to flux…
Cornering the universal shape of fluctuations
Benoit Estienne, Jean-Marie Stéphan, William Witczak-Krempa
Understanding the fluctuations of observables is one of the main goals in science, be it theoretical or experimental, quantum or classical. We investigate such fluctuations when on…