The Fermi-edge singularity and the Anderson orthogonality catastrophe describe the universal physics which occurs when a Fermi sea is locally quenched by the sudden switching of a scattering potential, leading to a brutal disturbance of its ground state. We demonstrate that the effect can be seen in the controllable domain of ultracold trapped gases by providing an analytic description of the o...

The theory of ground state and excited state energies calculations of multielectron quantum dot with hydrogenic impurity within the effective mass approximation has been given. Results show that ground and excited state energies decrease with dot radius. In the present paper, calculation has been carried out for two electron quantum dot. The effect of magnetic field on first excited state for d...

We study theoretically the effects of diffusion, convection, and sawteeth on impurity profile evolution in tokamaks. Sawtooth effects are modeled after our' experimental observations that internal disruptions flatten radial profiles of impurity densities in the Alcator-C plasma core. We present numerical simulations and analytic results for confinement times and profile shapes, and we predict t...

A few years ago, flow equations were introduced as a technique for calculating the ground-state energies of cold Bose gases with and without impurities. In this paper, we extend approach to compute observables other than energy. As an example, calculate densities, phase fluctuations one-dimensional one two For single mobile impurity, use validate mean-field results obtained upon Lee-Low-Pines t...

Two mechanisms of the inverse population of shallow impurity states in silicon under optical pumping have been proposed and analyzed, using a procedure allowing to reduce the number of required matrix elements of transitions. The first mechanism is based on the resonance interaction of the 2p0 state in Si :Bi with optical phonons. The other one is based on the suppression of acoustic-phonon-ass...

The Bethe ansatz local density approximation (LDA) to lattice density functional theory (LDFT) for the one-dimensional repulsive Hubbard model is extended to current-LDFT (CLDFT). The transport properties of mesoscopic Hubbard rings threaded by a magnetic flux are then systematically investigated by this scheme. In particular we present calculations of ground state energies, persistent currents...

We present a method for the calculation of dynamical correlation functions of quantum impurity systems out of equilibrium using Wilson’s numerical renormalization group. Our formulation is based on a complete basis set of the Wilson chain and embeds the recently derived algorithm for equilibrium spectral functions. Our method fulfills the spectral weight conserving sum-rule exactly by construct...

The formation of intrinsic defects by ionizing radiation in some ionic crystals in the anion sublattice is only associated with the instability of the self-trapped exciton up to now. In this paper, on the basis of an analysis of experimental evidence already in the literature, we want to show that there are phenomena in the ionic crystals doped with some cations, which cannot be explained on th...