An electric field partly lifts the degeneracies of atomic energy levels. This splitting was observed by Stark [1] and explained by Schrödinger [2]. We compute the Stark effect on atomic hydrogen using perturbation theory by diagonalizing the perturbation term in the N-fold degenerate multiplet of states with principal quantum number N . We exploit the symmetries of this problem to simplify the ...

This paper examines the Stark effect, as a first order perturbation of manifestly covariant hydrogen-like bound states. These bound states are solutions to a relativistic Schrödinger equation with invariant evolution parameter, and represent mass eigenstates whose eigenvalues correspond to the well-known energy spectrum of the nonrelativistic theory. In analogy to the nonrelativistic case, the ...

The optical Stark effect is a tell-tale signature of coherent light--matter interaction in excitonic systems, wherein an irradiating light beam tunes exciton transition frequencies. Here we show that, when excitons are placed nanophotonic cavity, the can become highly nonlinear, exhibiting multivalued and hysteretic shifts that depend on history light. This multistable (MSE) arises from feedbac...

Indirect excitons in coupled quantum wells have long radiative lifetimes and form a cold quasi-two-dimensional population suitable for studying collective quantum effects. Here we report the observation of the exciton Mott transition from an insulating (excitons) to a conducting (ionized electron-hole pairs) phase, which occurs gradually as a function of carrier density and temperature. The tra...

P. Andreakou,1 A. V. Mikhailov,1,2 S. Cronenberger,1 D. Scalbert,1 A. Nalitov,3 A. V. Kavokin,2,3,4 M. Nawrocki,5 L. V. Butov,6 K. L. Campman,7 A. C. Gossard,7 and M. Vladimirova1 1Laboratoire Charles Coulomb, UMR 5221 CNRS/Université de Montpellier, F-34095, Montpellier, France 2Spin Optics Laboratory, St-Petersburg State University, 1, Ulianovskaya, St-Peterbsurg, 198504, Russia 3School of Ph...