Davide Lonigro
Researcher in quantum mechanics

News

• Two new papers on the arXiv: we characterize quantitatively the performance of higher-order refinements of the rotating-wave approximation for the semiclassical Rabi model, and we find eternal bounds for spectral transitions in perturbed quantum systems.

• This summer semester I am organizing the course "Mathematical Foundations of Quantum Theory" at FAU (2+2 hours/week). I will give an overview on all that mathematical jazz that, sooner or later, quantum theorists need to deal with: unbounded operators, self-adjointness, spectral theorem.

• New paper on the arXiv and under the Christmas tree: we find sufficient conditions under which finite-dimensional truncations of an unbounded quantum Hamiltonian reproduce the correct solution in the infinite-dimensional limit. This does not happen in general—some neat examples are discussed. 

• New paper on the arXiv: we provide bounds for the efficiency of dynamical decoupling for a wide class of spin–boson models. Our result allows us to estimate the decoupling error in terms of the properties of the boson bath—for one, its temperature—even for boson fields with infinitely many modes.