Nutation oscillations of an electromagnetic wave propagating through photonic crystal with resonant impurities are
studied theoretically in case when one energy level of impurity is in a gap in photonic states. It is shown that this
impurity energy level serves as a trap for excitation of impurity atom when two-photon relaxation processes are essential
in the electromagnetic field. This effect causes self-induced medium transparency and peculiar attenuation of nutation
oscillation which allow studying experimentally two-photon relaxation.
KEYWORDS: Quantum dots, Electromagnetism, Electromagnetic radiation, Polarization, Wave propagation, Radio propagation, Chemical species, Signal attenuation, Chemical elements, Erbium
A new type of nutation oscillations occurring only in the phase of an electromagnetic wave propagating in an ensemble
of quantum dots is described. The interaction of the electromagnetic wave with quantum dots produces the transitions of
electron between states of approximately equal energies without any changes in the intensity of the wave. The period of
nutation oscillations is shown to be defined by the main parameters describing the electromagnetically induced electron
transfer. Nutation effect is considered for the case of nonresonant electromagnetic pulse with a rectangular form of its
amplitude.
Experimental data and theoretical model describing stochastic pulsations within oscillatory mode of superradiant
emission from the LaF3 medium doped with impurity praseodymium ions are presented. The model deals with three-level
system with close upper levels and reflects our experimental data on fluorescence of praseodymium ions. The
mean-field approximation is used to develop the superradiance theory. In determined case basic equations of the
developed model are reduced to well known Lorenz equations of deterministic chaotic dynamics.
The period of nutation oscillations near the leading edge of a rectangular electromagnetic pulse interacting with
ensemble of quantum dots is shown to be defined by the main parameters describing the electromagnetically induced
electron transfer.
Regularities of the optical coherence transformation in three-level systems, resulting from instability development and
superradiance, are considered. It is shown that the superradiance eliminates optical coherence on the adjacent optically
allowed transitions and induces optical coherence on the optically forbidden transition. This, in turn, makes it possible to
observe new effects of photon-echo type. In such a way the known cases of supperradiant emission from the LaF3:Pr3+
medium admit the described phase memory effect.
Experimental data and theoretical model concerning superradiant emission from the LaF3 medium doped with impurity
praseodymium ions are presented in cases of free medium and when the medium is placed into resonator. The spiky
structure of superradiance is registered and studied. When the medium is placed inside a cavity, a new channel of energy
removal by superradiance related to the cavity mode appears; the old noncavity channels are preserved. The duration of
superradiance in each channel is decreased and the modulation arises. These peculiarities of superradiance induced by
the presence of resonator are explained on the basis of the developed mean-field theory.
In this paper a system of two qubits interacting with common broadband thermostat was investigated. We managed to
gain problem parameters witch can produce stationary entanglement from initially unentangled quantum states. It was
also found out that it is possible to adjust the measure of entanglement by varying problem parameters, and it can be said
that our methods are considered to be suitable for generation of entanglement with any pre-defined value. Our previous
results were extended in this paper, and we are up to show that stationary states ofthe system have non-trivial
dependence on initial conditions, witch are more complicated then it was previously reported.
A new physical and mathematical formulation of the pulse evolution problem is proposed based on the inverse scattering transform method and a new spectral problem. The polarization of ultrashort pulse and level degeneracy of atoms are taken into account. The Gel'fand-Levitan-Marchenko equations and soliton solutions are obtained. The change in polarization of colliding solitons is demonstrated.
KEYWORDS: Chemical species, Phase shifts, Chemical elements, Photons, Entangled states, 3D modeling, Crystals, Physics, Quantum information theory, Space operations
Relying on the Peres-Horodecki criterion, we investigated the dynamics of appearance of the stationary entanglement in the system of two two-level atoms decaying in the field of common thermostat. We took into account their dipole-dipole interaction and the difference between their atomic frequencies. It was established, that in the absence of the dipole-dipole interaction the presence of the stationary entanglement has a strong dependence on the identity of atomic frequencies. The difference between them (due to their different locations in the crystal or thermal movement), leads to a disappearance of the stationary entanglement. Also we found the dependence of existence of the stationary entanglement from a correlation between the constant of the dipole-dipole interaction, the resonance wave shift and the constant of interaction with the thermostat field - it comes into existence only when the latter value becomes greater than the former ones.
The master equation for impurity atom in photonic band gap crystal is derived with account for two-atom and two-photon relaxation processes. Important role of these relaxation processes is clarified.
Kinetic equations describing atomic behavior in non-resonant classical and broadband squeezed fields are received. It is shown that the main parameters of squeezed field can be obtained from the decay of two-pulse photon echo.
Self-induced transparency under two-photon and Raman resonances is studied theoretically in the cases of small angular momentum of resonant transition and essentially different intensity of resonant waves. The last corresponds to the condition of experiment of Grabtchikov et al [Phys.Rev.Lett.81,5808 (1998)]. The problem with account to wave polarization was reduced to generalized Maxwell-Bloch equations which are exactly integrable by the inverse scattering transform method.
A nonlinear evolution equation describing an ultrashort optical pulse propagation under quasi-resonant condition is derived by the unitary transformation method. This method allowed us to obtain the terms which are not taken into account within the framework of the adiabatic following approximation. The analysis of the nonlinear evolution equation and example of its application are given.
The master equation for impurity atom in photonic band gap crystal is derived with account for two-atom and two-photon relaxation processes. An important role of these relaxation processes is clarified.
It is shown that the additional irradiation of thin film of resonant atoms by squeezed light causes the bistability depending on phase of resonant coherent light.
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