49 citations · 266 across the 30 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…
A Completion of Quantum Mechanics
Jürg Fröhlich, Zhou Gang, Alessandro Pizzo
A proposal of how to complete non-relativistic quantum mechanics to a physically meaningful, mathematically precise and logically coherent theory is reviewed. Our proposal leads to…
Block-diagonalization of infinite-volume lattice Hamiltonians with unbounded interactions
Simone Del Vecchio, Juerg Fröhlich, Alessandro Pizzo
In this paper we extend the local iterative Lie-Schwinger block-diagonalization method - introduced in [DFPR3] for quantum lattice systems with bounded interactions in arbitrary di…
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…
Lie-Schwinger block-diagonalization and gapped quantum chains: analyticity of the ground-state energy
S. Del Vecchio, J. Fröhlich, A. Pizzo +1
We consider quantum chains whose Hamiltonians are perturbations by interactions of short range of a Hamiltonian that does not couple the degrees of freedom located at different sit…