293 citations · 2.6k across the 79 of their papers we have counts for
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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…
The appearance of particle tracks in detectors -- II: the semi-classical realm
Tristan Benoist, Martin Fraas, Jürg Fröhlich
The appearance of tracks, close to classical orbits, left by charged quantum particles propagating inside a detector, such as a cavity periodically illuminated by light pulses, is…
Interacting loop ensembles and Bose gases
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We study interacting Bose gases in thermal equilibrium on a lattice. We establish convergence of the grand canonical Gibbs states of such gases to their mean-field (classical field…
Local iterative block-diagonalization of gapped Hamiltonians: a new tool in singular perturbation theory
Simone Del Vecchio, Juerg Froehlich, Alessandro Pizzo +1
In this paper the local iterative Lie-Schwinger block-diagonalization method, introduced in [FP], [DFPR1], and [DFPR2] for quantum chains, is extended to higher-dimensional quantum…
A path-integral analysis of interacting Bose gases and loop gases
Jürg Fröhlich, Antti Knowles, Benjamin Schlein +1
We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to t…