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quant-ph2026
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…
quant-ph2024
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…
quant-ph2024
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…