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The phenomenon of Zitterbewegung (ZB, trembling motion) of electrons isdescribed in zigzag carbon nanotubes (CNT) excited by laser pulses. The tightbinding approach is used for the band structure of CNT and the effect of lightis introduced by the vector potential. Contrary to the common theoreticalpractice, no a priori assumptions are made concerning electron wave packet, thelatter is determined as a result of illumination. In order to overcome theproblem of various electron phases in ZB, a method of two-photon echo isconsidered and described using the density function formalism. The mediumpolarization of CNT is calculated by computing exact solutions of thetime-dependent electron Hamiltonian. The signal of two-photon echo is extractedand it is shown that, using existing parameters of CNT and laser pulses, oneshould be able to observe the electron trembling motion. Effects of electrondecoherence and relaxation are discussed.

Two-photon echo method for observing electron Zitterbewegung in carbon nanotubes