On Bose-Einstein condensate inside moving exciton-phonon droplets

We explore a nonlinear field model to describe the interplay between the ability of excitons to be Bose condensed and their interaction with other modes of a crystal. We apply our consideration to the long-living paraexcitons in Cu2O. Taking into account the exciton-phonon interaction and introducing a coherent phonon part of the moving condensate, we solve quasi-stationary equations for the exciton-phonon condensate. These equations support localized solutions, and we discuss the conditions for the inhomogeneous condensate to appear in the crystal. Allowable values of the characteristic width of ballistic condensates are estimated. The stability conditions of the moving condensate are analyzed by use of Landau arguments, and Landau critical parameters appear in the theory. It follows that, under certain conditions, the condensate can move through the crystal as a stable droplet. To separate the coherent and non-coherent parts of the exciton-phonon packet, we suggest to turn off the phonon wind by the changes in design of the 3D crystal and boundary conditions for the moving droplet.Comment: 13 pages, LaTeX, three eps figures are incorporated by epsf. submitted to Phys. Letters

Generalizations of Poisson Structures Related to Rational Gaudin Model

The Poisson structure arising in the Hamiltonian approach to the rational Gaudin model looks very similar to the so-called modified Reflection Equation Algebra.  Motivated by this analogy, we realize a braiding of the mentioned Poisson structure, i.e. we introduce a ”braided Poisson” algebra associated with an involutive solution to the quantum Yang-Baxter equation. Also, we exhibit another generalization of the Gaudin type Poisson structure by replacing the first derivative in the current parameter, entering the so-called local form of this structure, by a higher order derivative.  Finally, we introduce a structure, which combines both generalizations.  Some commutative families in the corresponding braided Poisson algebra are found

Bose-Einstein Condensation of Excitons: Reply to Tikhodeev's Criticism

The extended version of our reply to Comment on ``Critical Velocities in Exciton Superfluidity'' by S. G. Tikhodeev (Phys. Rev. Lett., 84 (2000), 3502 or from http://prl.aps.org/) is presented here. The principal question is discussed: does the moving exciton-phonon packet contain the coherent `nucleus', or the exciton-phonon condensate?Comment: 3 pages in LaTe

On Critical Velocities in Exciton Superfluidity

The presence of exciton phonon interactions is shown to play a key role in the exciton superfluidity. We apply the Landau criterion for an exciton-phonon condensate moving uniformly at zero temperature. It turns out that there are essentially two critical velocities in the theory. Within the range of these velocities the condensate can exist only as a bright soliton. The excitation spectrum and differential equations for the wave function of this condensate are derived.Comment: 7 pages, Latex; to be published in Phys.Rev.Lett (1997

Bosons in a Lattice: Exciton-Phonon Condensate in Cu2O

We explore a nonlinear field model to describe the interplay between the ability of excitons to be Bose-condensed and their interaction with other modes of a crystal. We apply our consideration to the long-living para-excitons in Cu2O. Taking into account the exciton-phonon interaction and introducing a coherent phonon part of the moving condensate, we derive the dynamic equations for the exciton-phonon condensate. These equations can support localized solutions, and we discuss the conditions for the moving inhomogeneous condensate to appear in the crystal. We calculate the condensate wave function and energy, and a collective excitation spectrum in the semiclassical approximation; the inside-excitations were found to follow the asymptotic behavior of the macroscopic wave function exactly. The stability conditions of the moving condensate are analyzed by use of Landau arguments, and Landau critical parameters appear in the theory. Finally, we apply our model to describe the recently observed interference and strong nonlinear interaction between two coherent exciton-phonon packets in Cu2O.Comment: 34 pages, LaTeX, four figures (.ps) are incorporated by epsf. Submitted to Phys. Rev.

О распределении огибающей и фазы смеси сигнала и негауссовой помехи

For a mixture of a signal and non-Gaussian interference with arbitrary distribution law, a method of determining the envelope and phase probability densities is given. Efficiency of the proposed methods is illustrated by examples. In the case of a large signal-to-interference ratio it is shown that the distribution of the envelope for a mixture of signal and inter-ference coincides with the distribution of instantaneous value of interference shifted by a value of signal amplitude for an arbitrary distribution of interference.В статье предложены методы вычисления плотностей вероятностей огибающей и фазы смеси сигнала и негауссовой помехи с произвольным законом распределения. Эффективность предложенных методов проиллюстрирована на примерах. Показано, что при большом отношении сигнал/помеха распределение огибающей смеси сигнала и помехи совпадает с распределением мгновенных значений помехи, смещенным на величину амплитуды сигнала, при произвольном распределении помехи

Определение акусто-эмиссионных характеристик воздушных судов с использованием параметрических регистрирующих устройств на СВЧ и оптических лучах

This article describes the method of definition of acoustic-emission characteristics of aircraft with the use of parametric registering devices on superhigh frequencies and optical beams. The results of the research of acoustic response and bandwidth of registering devices when using those beams are given.Рассматривается метод определения акусто-эмиссионных характеристик воздушных судов (ВС) с использованием параметрических регистрирующих устройств на СВЧ и оптическом лучах. Приводятся результаты исследования акустической чувствительности и ширины полосы регистрирующих устройств при использовании этих лучей