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a b s t r a c tThe analytical solution of the task of the interaction of quantized EM-field with axially symmetric quasi-1D multichain qubit system by taking into account both the intrachain and interchain qubit coupling has been obtained for the first time. The appearance in stationary optical spectra of complementary lines, which is consequence of quantum nature of EM-field, leading to Rabi wave packets' formation, is predicted for all quasi-1D systems with strong electron-photon interaction. The model proposed is considered on the example of perfect carbon quasi-1D zigzag shaped nanotubes, for which a new quasi-1D model, which is qualitatively different from well-known 2D-model, is proposed.Ó 2011 Elsevier B.V. All rights reserved.Quantum electrodynamics (QED) consideration of interaction of electromagnetic (EM) field with matter is used at present very rare in practical applications, for instance, quantum nature of EM-field is not taken into account by its interaction with nanoobjects like to carbon nanotubes (NTs), both in theoretical and experimental aspects [1,2]. There exists at present in QED-theory the analytical solutions of the task of the interaction of quantized EM-field with one qubit, that is the Jaynes-Cummings model (JCM), with multiqubit systems without interaction between qubits, that is the Tavis-Cummings model, and the model described in [3], which is the generalization of Tavis-Cummings model by taking into account the 1D-coupling between qubits. The model to be considered continues the given series, that is, it is the model of the interaction of quantized EM-field with quasi-1D multichain qubit system by taking into account both the intrachain and interchain qubit couplings without restriction on their values. Quasi-1D carbon zigzag-shaped nanotubes (CZSNTs) will represent multichain qubit system in the formulated task above.Quasi-1D CZSNTs can be considered (see further) to be the set of carbon backbones of trans-polyacetylene (t-PA) chains, which are connected between themselves, that is the qualitatively different model for quasi-1D CZSNTs will be proposed in comparison with the well-known 2D-model of NTs. The necessity in the given model is determined by analysis of experimental results, indicating, that with decrease of tube diameter the 2D-1D transition takes place and all physical properties of carbon NTs undergo qualitative leap. It is relevant to both the kinds of NTs, that is to rather perfect NTs produced by high energy ðP 1 Mev per nucleonÞ ion modification (HEIM) of diamond single crystals [4-6] and the so-called ultra-small NTs with 0.4 nm diameter, produced [7,8] inside the nanochannels of porous zeolite AlPO4-5 single crystals. It is interesting, that the authors of [7,8] are considering 0.4 nm diameter single wall nanotubes (SWNTs) to be ideal one-dimensional quantum hollow wires, that is in fact they come to the same conclusion concerning the 2D-1D transition presence. Analogous conclusion was recently done in [9] by electron spin resonance studies (ESR) of ultra-small NT...

It is argued that the two-dimensional (2D)Àonedimensional (1D) transition (quantum size effect) in all physical properties of carbon nanotubes takes place with a decrease in their diameter. It has been established that the π-electronic subsystem is inactive in optical spectra of quasi-1D carbon zigzag-shaped nanotubes (CZSNTs), produced by means of high energy ion implantation, that leads to vanishing in Raman spectra of longitudinal and transverse optical phonon G + and G À modes and the outof-plane radial breathing mode, observed in 2D single-walled nanotubes. The SuÀSchrifferÀHeeger (SSH) model of organic conductors was developed and used to establish the nature of optically active centers in quasi-1D CZSNTs. They are SSH σ-polarons. Raman spectra in quasi-1D CZSNTs, which were produced by high energy ion implantation of diamond single crystals, are characterized by the only localized vibronic mode of the antiferroelectrically ordered lattice, formed by SSH σ-polarons. It has been found that Raman spectra are strongly dependent on the laser excitation beam direction, consisting in appearance additionally of antiferroelectric spin wave resonance modes and the mode, corresponding to the Fr€ ohlich σ-polaron lattice sliding itself by the excitation beam direction, being opposite to the ion beam direction. A new quantum optics phenomenon-Rabi wave packet formation and propagation in space-has experimentally been identified for the first time in CZSNTs, in carbynoid films, and in graphene. It is a consequence of strong electronÀphoton coupling, and it leads to the appearance of additional lines, corresponding to Fourier transform of the revival part of the time dependence of integral inversion of coupled qubits.

Matrix-operator difference-differential equations for dynamics of spectroscopic transitions in 1D multiqubit exchange-coupled (para)magnetic and optical systems by strong dipole-photon and dipole-phonon coupling are derived within the framework of quantum field theory. It has been established that by strong dipole-photon and dipole-phonon coupling the formation of long-lived coherent system of the resonance phonons takes place, and relaxation processes acquire pure quantum character. It is determined by the appearance of coherent emission process of EM-field energy, for which the resonance phonon system is responsible. Emission process is accompanied by phonon Rabi quantum oscillation, which can be time-shared from photon quantum Rabi oscillations, accompanying coherent absorption process of EM-field energy. For the case of radio spectroscopy, it corresponds to the possibility of the simultaneous observation along with (para)magntic spin resonance, the acoustic spin resonance.