Current status of cosmological MDM model

An analysis of cosmological models in spatially flat Friedmann Universe with cosmic gravitational wave background and zero $\Lambda$-term is presented. The number of free parameters is equal to 5, they are $\sigma_8$, $n$, $\Omega_\nu$, $\Omega_b$, and $h$. The normalization of the spectrum of density perturbations on galaxy cluster abundance ($\sigma_8 = 0.52\pm 0.04$) has been used to calculate numerically the value of the large scale CMB anisotropy ($\ell\simeq 10$) and the relative contribution of cosmological gravitational waves T/S. Increasing $\Omega_\nu$ weaken the requirements to the value of T/S, however even for $\Omega_\nu\le 0.4$ the models with $h+n\ge 1.5$ suggest considerable abundance of gravitational waves: T/S${}^>_\sim 0.3$. In models with $\Omega_\nu\le 0.4$ and scale-invariant spectrum of density perturbations ($n=1$): T/S${}^>_\sim 10(h-0.47)$. Minimization of the value T/S is possible only in the range of the red spectra ($n<1$) and small $h$ ($<0.6$). It is shown that the models with T/S$\in [0, 3]$ admit both moderate red and blue spectra of density perturbations, $n\in[0.9,1.2]$, with rather high abundance hot dark matter, $\Omega_\nu\in [0.2,0.4]$. Any condition, $n<0.9$ or $\Omega_\nu<0.2$, decreases the relative amplitude of the first acoustic peak for more than 30% in comparison with its hight in the standard CDM normalized by COBE data.Comment: 4 pages, 2 figures included; contribution to the Proceedings of Moriond 2000 "Energy Densities in the Universe", Les Arcs, France, January 22-29 200

Low-frequency Raman spectra in LiNbO3 : Within and beyond the standard paradigm of ferroelectric dynamics

Low-frequency Raman spectra of stoichiometric LiNbO3 crystals are investigated in the frequency range down to ∼1 cm−1 and in the temperature range of 300–1423 K . The central peak (quasielastic light scattering) is found and described for all temperatures studied and in both scattering geometries explored, zz - and xy -configurations. The central peak features follow the standard paradigm, predicting the critical narrowing of the width, only at T≳1300 K in the zz -configuration. At lower temperatures the inverse relaxation time increases with the temperature increase, in contradiction to the standard theoretical predictions. This experimental result was interpreted as the importance of local fluctuations of the order parameter. The ferroelectric dynamics of LiNbO3 is described by the soft mode coupled to a relaxation, sharing both displacement and order-disorder features

Momentum transfer using chirped standing wave fields: Bragg scattering

We consider momentum transfer using frequency-chirped standing wave fields. Novel atom-beam splitter and mirror schemes based on Bragg scattering are presented. It is shown that a predetermined number of photon momenta can be transferred to the atoms in a single interaction zone.Comment: 4 pages, 3 figure