At the limit, at last

M. Elbs, H. Knöckel, T. Laue +2 more

A multistep laser excitation scheme was used to access the last, least bound levels close to the lowest asymptote $3s+3s$ with the molecular states $X{}^{1}{\ensuremath{\Sigma}}_{g}^{+}$ and $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ of ${\mathrm{Na}}_{2}$. All singlet levels within the last $10 {\mathrm{cm}}^{\ensuremath{-}1}$, and some triplet levels with sufficient singlet admixture, were observed. The level energies were determined with uncertainties of less than 22 MHz with respect to the dissociation limit. The hyperfine structure was resolved, and asymmetric line shapes due to predissociation by tunneling through the rotational barrier or electronic state coupling were recorded for levels above the dissociation limit.

Alexei S. Trifonov

Hiu Yung Wong

Kay Kirkpatrick, Simone Rademacher, Benjamin Schlein

We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years.

G. Papini

Summary. — A quantum mechanical limit on the speed of orthogonality evolution justifies the last remaining assumption in Caianiello’s derivation of the maximal acceleration. The limit is perfectly compatible with the behaviour of superconductors of the first type. PACS 03.65.-w, 03.65.Ta, 74.55.+h – Quantum theory, maximal acceleration, Ehrenfest theorem.

Hiu Yung Wong