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Optics and Spectroscopy

Three-dimensional dissipative quasi-solitons in carbon nanotubes

N. N. Konobeeva, Mikhail B. Belonenko

Published Apr 1, 2017• 2 citations
Publisher

Abstract

The propagation of three-dimensional quasi-solitons in a system of carbon nanotubes with two-level impurities has been investigated. The system of effective equations is derived in the form of analogs of the Sine–Gordon classical equation and Bloch equations. The effects observed with a change in the inverse population and damping parameter have been studied.

DOI
10.1134/s0030400x17040130

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The propagation of three-dimensional quasi-solitons in a system of carbon nanotubes with two-level impurities has been investigated. The system of effective equations is derived in the form of analogs of the Sine–Gordon classical equation and Bloch equations. The effects observed with a change in the inverse population and damping parameter have been studied.
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Abstract A study is performed of the propagation of extremely short optical pulses in a two-level impurity system with carbon nanotubes and anisotropic optical properties. A system of effective equations for the vector potential of the electromagnetic field and pseudospin is derived on the basis of Maxwell’s equations, along with kinetic equations for the average values of pseudospin operators obtained according to Glauber. The effect the system parameters (temperature and vector of polarization’s angle of inclination to the CNT axis) have on the spatial characteristics of a extremely short pulse is analyzed.
A theory of dispersive soliton of the self-induced transparency in a medium consisting of atoms or semiconductor quantum dots of two types is considered. A two-component medium is modeled by a set of two-level atoms of two types embedded into a conductive host material. These types of atoms correspond to passive atoms (attenuator atoms) and active atoms (amplifier atoms) with inverse population of the energetic levels. The complete solution is given of the Maxwell--Bloch equations for ensembles of two-type atoms with different parameters and different initial conditions by inverse scattering transform. The solutions of the Maxwell--Bloch equations for many-component atomic systems by inverse scattering transform are also discussed. The influence of the difference between dipole moments of atoms, the longitudinal and transverse relaxation times, pumping, and conductivity on the soliton is taken into account by means of perturbation theory. The memory effects are described in terms of generalized non-Markovian optical Bloch equations. The condition of a balance between the energy supplied and lost is obtained.
We study quantum optical properties of the single-walled carbon nanotube (SWCNT) by introducing the effective interaction between the quantized electromagnetic field and the confined electrons in the SWCNT. Our purpose is to explore the quantum natures of electron transport in the SWCNT by probing its various quantum optical properties relevant to quantum coherence, such as the interference of the scattered and emitted photons, and the bunching and anti-bunching of photons which are characterized by the higher order coherence functions. In the strong field limit, we study the interband Rabi oscillation of electrons driven by a classical light. We also investigate the possible lasing mechanism in superradiation of coherent electrons in a SWCNT driven by a light pump or electron injection, which generate electron population inversion in the higher energy-band of SWCNT.