Polaronic approach to strongly correlated electron system with strong electron-phonon interaction

The three band p-d model of strongly correlated electrons interacting with optical phonon via diagonal and off-diagonal electron-phonon interaction is considered within cluster perturbation theory. At first step the exact diagonalization of the Hamiltonian of CuO4 cluster results in the construction of local polaronic eigenstates |p> with hole numbers nh=0,1,2 per unit cell. The inter cluster hoppings and interactions are exactly written in terms of Hubbard operators X(pq)= |p><q| determined within the multielectron polaronic eigenstates |p>. The Fermi type single electron quasiparticle dispersion and spectral weight are calculated for the undoped antiferromagnetic parent insulator like La2CuO4. The quasiparticle dispersion of Hubbard polarons is determined by a hybridization of the several Hubbard subbands with local Franck-Condon resonances. For small electron-phonon interaction the conductivity band is stronger renormalized then the valence band. Nevertheless for large electron-phonon interaction both bands are strongly renormalized with quasiparticle localization. Effect of partial compensation of diagonal and off-diagonal electron-phonon interaction at intermediate coupling is found.

Transition amplitudes, polarizabilities and energy levels within optical wavelength of highly charged ions Sm14+ and Sm13+

We discuss possible search for optical transitions in Sm13+ and Sm14+ using ab initio calculations of differential dynamic polarizability. We calculate dynamic polarizability for M1 transition between first and second excited states of Sm14+ . Transition amplitudes and energies within optical range for states that contribute to the polarizability of the mentioned transition are presented. Employing simple analytical formula for polarizability data in the vicinity of a resonance and assuming that several values of the polarizability for different laser frequencies will be measured one can find the accurate position of the resonance. Results of similar calculations of amplitudes and energies of states that contribute to the polarizability of the M1 transition between ground and first excited states of Sm13+ are also presented.

On the prospects of building optical atomic clocks using Er I or Er III

The possibility of using neutral and double ionized erbium for atomic clocks of high precision is investigated. In both cases the narrow electric quadrupole clock transition between the ground and first exited state of the same configuration lies in optical region. The estimated ratio of decay width to transition energy is less then 10 20. We demonstrate that this transitions are not sensitive to black body radiation and if other perturbations are also considered the relative accuracy of the clocks can probably reach the level of 10 (pow minus 18) or better.

To what extent should we find the chiral end point?

We analyze the critical phenomena in the theory of strong interactions at high temperatures starting from first principles. The model is based on the dual Yang-Mills theory with scalar degrees of freedom - the dilatons. The latter are produced due to the spontaneous breaking of an approximate scale symmetry. The phase transitions are considered in systems where the field conjugate to the order parameter has the (critical) chiral end mode. The hiral end point (ChEP) is a distinct singular feature existence of which is dictated by the chiral dynamics. The physical approach the effective ChEP is studied via the influence fluctuations of two-body Bose-Einstein correlation function for observed particles to which the chiral end mode couples.

Towards the Bose symmetry violation issue

We study the Bose symmetry violation through the decays of heavy vector bosons at high energies. In particular, the decay of a Z-boson into two photons where one of the photons is the vector unparticle in the scale invariant sector is considered as a sample. We find out that the Bose symmetry might be violated in the nearly conformal sector at high energy frontier. This may be useful in phenomenological application to the CERN LHC experiments for new physics searches.

What did we know from the ridge in BEC at the CMS

We look at the new two-particle Bose-Einstein correlation (BEC) function accompanied by the color-electric flux model which can explain the ridge behavior in enhanced angular correlation between two identical pions at very broad rapidity with high multiplicity. We argue that such an investigation could probe both the size and the temperature of the source of two pions emitted into a narrow range of azimuthal angles. We can confirm the ev- idence for quark-gluon phase due to interaction of outgoing pions (having high transverse momenta) with the medium in thermal bath in proton-proton collisions.