Abstract

Process of four-particle light scattering in molecular crystals with participation of the exciton Bose-condensate is considered. The intensities and tensor of scattering are found for this effect. The frequency and polarization characteristics of this process are studies. It is shown that the investigation of the spectrum shapes of scattered radiation allows one to find and prove the existence of the Bose-Einstein condensate of excitons.

Highlights

  • Effect of condensation of Bose particles in pulse space was predicted by Einstein in 1924-1925 [1, 2]

  • The first type included the systems where Bose-Einstein condensation (BEC) resulted in macroscopic filling of the lowest single energy state

  • BEC occurred in the lowest continuum with the infinite number of states that were characterized by macroscopic filling

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Summary

Introduction

Effect of condensation of Bose particles in pulse space was predicted by Einstein in 1924-1925 [1, 2]. The application of this method to three-dimensional crystals did not resulted in reliable identification of BEC because of short lifetime of excitons This fact did not allow accumulation of sufficiently large amount of quasi-particles in the lowest state. The list of possible candidates able to demonstrate BEC was recently supplemented with a new type of quasiparticles [15] It was shown [16] that in the case of a two-dimensional system of spin-less electrons under quantum Hall effect, so-called composite particles (CP) could emerge. The spectrum of the elementary excitations is modified It is demonstrated in [15] that the presence of BEC excitons makes possible the appearance of additional polariton states. BEC excitons associated with both zero and non-zero impulse can participate in the process

Theoretical Background
Some Corollaries of Laws of Conservation for a Four – Body Process
Shape of a Scattered Radiation Line
Conclusions
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