0000000001031207
AUTHOR
F. Monti
Adiabatic evolution for systems with infinitely many eigenvalue crossings
International audience; We formulate an adiabatic theorem adapted to models that present an instantaneous eigenvalue experiencing an infinite number of crossings with the rest of the spectrum. We give an upper bound on the leading correction terms with respect to the adiabatic limit. The result requires only differentiability of the considered projector, and some geometric hypothesis on the local behavior of the eigenvalues at the crossings.
Quantum Nekhoroshev Theorem for Quasi-Periodic Floquet Hamiltonians
A quantum version of Nekhoroshev estimates for Floquet Hamiltonians associated to quasi-periodic time dependent perturbations is developped. If the unperturbed energy operator has a discrete spectrum and under finite Diophantine conditions, an effective Floquet Hamiltonian with pure point spectrum is constructed. For analytic perturbations, the effective time evolution remains close to the original Floquet evolution up to exponentially long times. We also treat the case of differentiable perturbations.
CCDC 857727: Experimental Crystal Structure Determination
Related Article: N.M.Shavaleev, F.Monti, R.D.Costa, R.Scopelliti, H.Bolink, E.Orti, G.Accorsi, N.Armaroli, E.Baranoff, M.Gratzel, M.K.Nazeeruddin|2012|Inorg.Chem.|51|2263|doi:10.1021/ic202297h