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To our knowledge, enhanced light squeezing at the transition to quantum chaos was predicted in 27. Enhanced light squeezing at the transition to chaos in the generalized Tavis-Cummings model was studied in detail in 28. Strong squeezing of wave packets on a time scale of well-defined quantum-classical correspondence has been discussed by B. V. Chirikov as a characteristic of quantum chaos 29 (see also Sec. 3.1 in 16). Our present consideration of the problem is an extension of 30.
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Strictly speaking, the problem of second-harmonic generation does not belong to the class of systems (3). We analyze in this paper single-mode quantum systems with an explicit time dependence. However, the examples of second-harmonic generation and optical three-wave mixing problems demonstrate that the extension of our formalism to the case of multimode quantum models is straightforward, at least for the case of simple powerwise nonlinearity.
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Strictly speaking, the problem of second-harmonic generation does not belong to the class of systems (3). We analyze in this paper single-mode quantum systems with an explicit time dependence. However, the examples of second-harmonic generation and optical three-wave mixing problems demonstrate that the extension of our formalism to the case of multimode quantum models is straightforward, at least for the case of simple powerwise nonlinearity.
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