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We first explain the pseudogap of high-temperature superconductivity based onan approach of quantum optics. After introducing a damping factor for thelifetime $\tau$ of quasiparticles, the superconducting dome is naturallyproduced, and the pseudogap is the consequence of pairing with dampedcoherence. We derive a new expression of Ginzburg-Landau free energy density,in which a six-order term due to decoherence damping effect is included.Without invoking any microscopic pairing mechanism, this approach provides asimple universal equation of second-order phase transition, which can bereduced to two well-known empirical scaling equations: the superconducting domePresland-Tallon equation, and the normal-state pseudogap crossover temperature$T^{*}$ line.

An explanation for the pseudogap of high-temperature superconductors based on quantum optics