41 citations · 283 across the 28 of their papers we have counts for
29 papers
Limits of Stochastic Semigroups and Block-Triangular Majorisation
Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna +1
We investigate limits of semigroups of stochastic matrices defined by their invariant distribution. Given probability vectors depending on a parameter , we introduce a no…
Wandering range of robust quantum symmetries
Daniel Burgarth, Paolo Facchi, Marilena Ligabò +2
This paper introduces the concept of the wandering range of a robust symmetry of a Hamiltonian . This quantity measures how the perturbed time evolution $\mathrm{e}^{\mathrm…
Quantum Systems with jump-discontinuous mass. I
Fabio Deelan Cunden, Giovanni Gramegna, Marilena Ligabò
We consider a free quantum particle in one dimension whose mass profile exhibits jump discontinuities. The corresponding Hamiltonian is a self-adjoint realisation of the kinetic-en…
Robustness of quantum symmetries against perturbations
Paolo Facchi, Marilena Ligabò, Vito Viesti
We investigate quantum symmetries in terms of their large-time stability with respect to perturbations of the Hamiltonian. We find a complete algebraic characterization of the set…
Classical echoes of quantum boundary conditions
Giuliano Angelone, Paolo Facchi, Marilena Ligabò
We consider a non-relativistic particle in a one-dimensional box with all possible quantum boundary conditions that make the kinetic-energy operator selfadjoint. We determine the W…
Truncated quantum observables and their semiclassical limit
Fabio Deelan Cunden, Marilena Ligabò, Maria Caterina Susca
For quantum observables truncated on the range of orthogonal projections of rank , we study the corresponding Weyl symbol in the phase space in the semiclassical limit…