M A Khamadeev

Optical contrast of a photonic crystal and the self energy shift of the energy levels of atoms

The influence of a photonic crystal medium on the character of the interaction of electrons with their own radiation field is studied. As was recently shown, this influence changes the electromagnetic mass of the electrons in photonic crystals. This alters atomic energy levels. The dependence of this effect on the optical contrast of photonic crystals is studied.

Energy shift experiment in photonic crystal medium

We propose experimental confirmation of the new effect of the electron mass changes in photonic crystal medium, which was recently predicted. The method consists in measuring the Lamb shift in hydrogen atoms placed in the medium of photonic crystal. We discuss the experimental scheme based on the Lamb and Retherford experiment as well as the requirements for the samples of photonic crystals.

Electron rest mass and line spectrum of atoms in the photonic crystal medium

We study a recently predicted novel-type quantum electrodynamical effect that takes place in the photonic crystal medium. It consists in the fact that the modification of the interaction of a charged particle with its own radiation field in the photonic crystal medium results in the change in its mass. Consequences and possible applications of this effect are discussed. It is shown that, as a consequence of the effect, spectrum of the light emitted by atoms may be profoundly modified if, instead of being in free space, atoms are enclosed in air voids of a photonic crystal. Spectral lines of atoms in the photonic crystal medium are shifted in frequency, and this shift may be comparable to the atomic transition frequencies in free space.

An effective equation for describing the decay of an electron-positron vacuum in an intense electromagnetic field

The instability of an electron-positron vacuum in an intense laser field is studied. An equation describing the decay of the electron-positron vacuum in the focal region of two strong opposing laser beams is derived on the basis of the generalized dynamical equation.

Self-energy shift of the energy levels of atomic hydrogen in photonic crystal medium

Corrections to the average kinetic energy of atomic electrons caused by the change in electron mass in the photonic crystal medium are investigated. Corresponding shift of energy levels of atoms placed in a photonic crystal is shown to be of order of the ordinary Lamb shift.

Effect of environment on the self-interaction of a quantum dot

The problem of the effect leads have on the self-interaction of a two-level quantum dot is discussed. It is shown that a generalized dynamic equation enables us to discover new effects in the optical spectra of such systems.

Influence of the photonic crystal medium on the self-interaction of electrons

The self-interaction of an electron in the photonic crystal medium is investigated. We show that modification of the self-interaction of electrons in photonic crystals is very significant and, as a consequence, at some photon frequencies the electron-light interaction becomes effectively strong.

Tunneling-induced self-energy shift of energy levels of a quantum dot

The self-interaction of a quantum dot tunnel with Coulomb interaction coupled to two noninteracting leads is investigated. The self-energy function describing this interaction is added to a bare energy of a dot state. In the standard way of determining the self-interaction (tunneling-induced) corrections to bare energies of emitters (atoms, quantum dots, etc) the variations of the self-energy functions with energy are ignored, and these corrections are considered to be equal to the values of the self-energy functions for bare energies of states. We show that actually in the case of quantum dots the variations of the self-energy functions in the energy interval between the bare and true energies can be strong, and this can have a significant effect on the values of the tunneling-induced shifts of energy levels of quantum dots.

Singular behavior of the photon density of states and the self-energy function of an electron in photonic crystal

We show that Van Hove singularities in the behavior of the photon density of states in a photonic crystal results in a singular behavior of the self-energy functions of atomic states that describe the interaction of the atom with vacuum. This is shown to have a significant effect on processes of quantum interference from atoms in the PC medium.

Self-energy function of quantum-dot states and resonance fluorescence

We investigate the energy dependence of self-energy functions of quantum-dot states that describe the interaction of quantum dots with vacuum. It is shown that the variation of these self-energy functions can be significant and this can have a significant effect on processes of quantum interference from quantum dots.