29 citations · 43 across the 7 of their papers we have counts for
8 papers
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…
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…
Two Results in the Quantum Theory of Measurements
Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo +1
Two theorems with applications to the quantum theory of measurements are stated and proven. The first one clarifies and amends von Neumann's Measurement Postulate used in the Copen…
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…
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…
Complexity in algebraic QFT
Stefan Hollands, Alessio Ranallo
We consider a notion of complexity of quantum channels in relativistic continuum quantum field theory (QFT) defined by the distance to the trivial (identity) channel. Our distance…
Bayesian inversion and the Tomita-Takesaki modular group
Luca Giorgetti, Arthur J. Parzygnat, Alessio Ranallo +1
We show that conditional expectations, optimal hypotheses, disintegrations, and adjoints of unital completely positive maps, are all instances of Bayesian inverses. We study the ex…
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…