Abstract
The behavior of an electronic subsystem in strong interaction with phonon subsystem, or quantified electromagnetic field (QEF) is discussed. In this case the correlation effect between first and second order electron–phonon interaction (or atom–QEF interaction) takes place. It is shown that the temperature dependence of two-quanta exchange between Fermi sub-system and thermal reservoir gives a non-linear behavior of the order parameter in superconductivity and super-radiance, accompanied by an increase of the electron correlations with increasing temperature. The same effect is considered for two-quanta scattering processes, in which one quantum is absorbed and another is emitted. It is demonstrated, that the order parameter in such a system firstly increases with temperature achieving the maximal value. After that it decreases as in traditional phase transition effects.
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Enaki, N. Cooperative Two-Quanta Phase Transitions in Quantum Optics and Superconductivity. J Low Temp Phys 160, 157–178 (2010). https://doi.org/10.1007/s10909-010-0185-4
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DOI: https://doi.org/10.1007/s10909-010-0185-4