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20212026
most citedRelative entropy and curved spacetimes

29 citations · 43 across the 7 of their papers we have counts for

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math-ph2026

The Euclidean theory as a limit of an inhomogeneous Bose gas

Cristina Caraci, Antti Knowles, Alessio Ranallo +1

We prove that the grand canonical Gibbs state of an interacting two-dimensional quantum Bose gas confined by a trapping potential converges to the complex Euclidean field theory wi…

math-ph2025

The modular Hamiltonian in asymptotically flat spacetime conformal to Minkowski

Claudio Dappiaggi, Vincenzo Morinelli, Gerardo Morsella +1

We consider a four-dimensional globally hyperbolic spacetime conformal to Minkowski spacetime, together with a massless, conformally coupled scalar field. Using a bulk-to-b…

math-ph2023

Boundary effects and the stability of the low energy spectrum of the AKLT model

Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo +1

In this paper we study the low-lying spectrum of the AKLT model perturbed by small, finite-range potentials and with open boundary conditions imposed at the edges of the chain. Our…

math-ph2023

Low energy spectrum of the XXZ model coupled to a magnetic field

Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo +1

For a class of Hamiltonians of spin chains in a uniform external magnetic field that are small quantum perturbations of an Ising Hamiltonian, it is shown that the spectral ga…

math-ph2021★ 29 cited

Relative entropy and curved spacetimes

Fabio Ciolli, Roberto Longo, Alessio Ranallo +1

Given any half-sided modular inclusion of standard subspaces, we show that the entropy function associated with the decreasing one-parameter family of translated standard subspaces…