The properties of hydrogen confined endohedrally at the geometrical centre of a spherical, attractive short-range potential shell are explored. The evolution of the energy spectrum, as a function of the depth of the shell, is found to exhibit unusual level crossings and degeneracies resulting in avoided crossings and a new phenomenon of 'mirror collapse' where the localized states switch places. In addition, a new level ordering, principally by the number of nodes in the radial wavefunction, develops. The results apply generally to endohedrally confined atoms. Further, they suggest a new tool for controlling the properties of atoms.
The energy spectra of ground-state, ionized and excited multielectron atoms and ions of the 3d and 4d periods of the periodic table centred in impenetrable spherical confinement are detailed using Hartree-Fock configuration average calculations. It is shown explicitly for the first time that, owing to modifications in 3d and 4d orbital collapse, the filling of shells for the confined transition sequences becomes more regular than for free atoms with increasing confinement pressure, that s-d competition disappears, and that, for d-excited states, the crossings between inner-shell excited states and the double-ionization thresholds are altered. In general, the periodic table for confined (compressed) atoms can differ from that for free atoms. The importance of these findings for different branches of basic and applied physics and chemistry is indicated.
We demonstrate coherent control of optomechanically induced transparency and Fano resonances in a four mirror macroscopic optomechanical cavity, with two movable mirrors, each driven by an external mechanical pump. The variable control of the amplitude and phase of the coherent mechanical pumps provides a means of tuning the shape and nature of the Fano profiles. Further, our scheme shows the occurrence of tunable optomechanical features, even at very low mechanical driving field amplitudes, in macroscopic optomechanical cavities.
A recently developed wavelet based approach is employed to characterize the scaling behavior of spectral fluctuations of random matrix ensembles, as well as complex atomic systems. Our study clearly reveals anti-persistent behavior and supports the Fourier power spectral analysis. It also finds evidence for multi-fractal nature in the atomic spectra. The multi-resolution and localization nature of the discrete wavelets ideally characterizes the fluctuations in these time series, some of which are not stationary. PACS numbers: 05.40.-a,05.45.Mt,05.45.Tp,32.30.-r † prasanta@prl.res.in
Theoretical and experimental studies of nonlinear magneto-optical rotation in the principal series of calcium are reported. These are believed to be the first experiments on high magnetic field Faraday rotation (defined as achieving rotation angles of the order of π or more) in which the nonlinear optical regime has been entered by using laser fields. The present theory is valid both in the linear and nonlinear domains and our theoretical predictions which take into account propagation effects agree very well with experimental results over the entire range of laser strengths.
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