We investigate the finite-size scaling of the lowest entanglement gap $delta\xi$ in the ordered phase of the two-dimensional quantum spherical model (QSM). The entanglement gap decays as $delta\xi=Omega/sqrt{Lln(L)}$. This is in contrast with the purely logarithmic behaviour as $delta\xi=pi^2/ln(L)$ at the critical point. The faster decay in the ordered phase reflects the presence of magnetic order. We analytically determine the constant $Omega$, which depends on the low-energy part of the model dispersion and on the geometry of the bipartition. In particular, we are able to compute the corner contribution to $Omega$, at least for the case of a square corner.
Autori interni: | ||
Autori: | Alba, Vincenzo | |
Titolo: | Entanglement gap, corners, and symmetry breaking | |
Anno del prodotto: | 2020 | |
Digital Object Identifier (DOI): | 10.48550/arXiv.2010.00787 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |