area law 1boundary conditions 1entanglement entropy 1half-plane 1landau hamiltonian 1spectral theory 1
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math-ph2026
Entanglement entropy of ground states of the Landau Hamiltonian on the half-plane
Paul Pfeiffer, Wolfgang Spitzer
The paper investigates how boundary conditions affect the entanglement entropy of ground states of the Landau Hamiltonian on a half‑plane, showing that despite a purely absolutely…
math-ph2026
Existence and absence of Bose-Einstein condensation in the interacting random Kac-Luttinger model
C. Boccato, J. Kerner, M. Pechmann +1
In this paper, we study interacting bosons at zero temperature in a random and higher-dimensional continuum model introduced by Kac and Luttinger. For weak interactions we prove th…
math-ph2024
Entanglement entropy in the ground state of non-interacting massless Dirac fermions in dimension one
Fabrizio Ferro, Paul Pfeiffer, Wolfgang Spitzer
We present a novel proof of a formula of Casini and Huerta for the entanglement entropy of the ground state of non-interacting massless Dirac fermions in dimension one localized to…