The nonclassical effects of light in the fifth harmonic generation are investigated by quantum mechanically up to the first-order Hamiltonian interaction. The coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operators are established. The occurrence of amplitude squeezing effects in both quadratures of the radiation field in the fundamental mode is investigated and found to be dependent on the selective phase values of the field amplitude. The photon statistics in the fundamental mode have also been investigated and found to be sub-Poissonian in nature. It is observed that there is no possibility to produce squeezed light in the harmonic mode up to first-order Hamiltonian interaction. Further, we have found that the normal squeezing in the harmonic mode directly depends upon the fifth power of the field amplitude of the initial pump field up to second-order Hamiltonian interaction. This gives a method of converting higher-order squeezing in the fundamental mode into normal squeezing in the harmonic mode and vice versa. The analytic expression of fifth-order squeezing of the fundamental mode in the fifth harmonic generation is established. 1. Introduction The nonclassical effects like squeezing and sub-Poissonian photon statistics of light [1–3], which is a purely quantum mechanical phenomenon [4–6], have attracted considerable attention owing to its low-noise property [7–9] with applications in high quality telecommunication [10], quantum cryptography [11, 12], and so forth. Squeezing has been either experimentally observed or theoretically predicted in a variety of nonlinear optical processes, such as harmonic generation [13, 14], multiwave mixing processes [15–18], Raman [19–21], and hyper-Raman [22]. Hong and Mandel [23, 24], Hillery [25–27], and Zhan [28] have introduced the notion of amplitude squeezing of the quantized electromagnetic field in various nonlinear optical processes. Squeezing and photon statistical effect of the field amplitude in optical parametric and in Raman and hyper-Raman scattering processes have also been reported by Peěrina et al. [29]. Higher-order sub-Poissonian photon statistical of light have also been studied by Kim and Yoon [30]. Recently, Prakash and Mishra [31, 32] have reported the higher-order sub-Poissonian photon statistics and their use in detection of higher-order squeezing. Furthermore, higher-order amplitude squeezing with dependence on photon number in fourth and fifth harmonic generation has also been investigated by Gill et al. [33]. The nonclassical phenomena
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