Alexander A Zyablovsky

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We review quantum mechanical and optical pseudo-Hermitian systems with an emphasis on PT-symmetric systems important for optics and electrodynamics. One of the most interesting and much discussed consequences of PT symmetry is a phase transition under which the system eigenvalues lose their PT symmetry. We show that although this phase transition is(More)
We discuss phase transitions in PT-symmetric optical systems. We show that, due to frequency dispersion of the dielectric permittivity, an optical system can have PT symmetry at isolated frequency points only. An assumption of the existence of a PT-symmetric system in a continuous frequency interval violates the causality principle. Therefore, the ideal(More)
We show that due to near-field interaction of plasmonic particles via gain particles, a two-dimensional array of incoherently pumped spasers can be self-synchronized so that the dipole moments of all the plasmonic particles oscillate in phase and in parallel to the array plane. The synchronized state is established as a result of competition with the other(More)
In contrast to Hermitian systems, the modes of non-Hermitian systems are generally nonorthogonal. As a result, the power of the system signal depends not only on the mode amplitudes but also on the phase shift between them. In this work, we show that it is possible to increase the mode amplitudes without increasing the power of the signal. Moreover, we(More)
We analyze applicability of the ε" < 0 approximation to wave propagation in active material, comparing the results to the FDTD-based calculation employing more general Maxwell-Bloch model. It is shown that the slab thickness should be less than some critical value, corresponding to the divergence of the Airy series and to the start of(More)
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