Squeezing and photon statistical effects in spontaneous and stimulated eight-wave mixing process

Abstract

Eight-wave mixing is a process which involves absorption of four pump photons and emission of three probe photons of same frequency and a signal photon of different frequency. Squeezing is investigated in the fundamental mode in spontaneous and stimulated eight-wave mixing process using quantum mechanical approach. The presence of squeezing in field amplitude, amplitude-squared and amplitude-cubed in the fundamental mode has been probed. The dependence of squeezing on photon number is established with investigations into degree of squeezing in the first and higher order of field amplitude. The photon statistics of the field in the fundamental mode has also been investigated. It has been found that the field shows sub-Poissonian behaviour in the fundamental mode.

Higher-Order Amplitude Squeezing in Six-Wave Mixing Process

“…The significant experimental observations include gravity wave detection [7][8][9][10], in optical communication [11], in nanodisplacement measurement [12], and in optical storage [13], and interferometer enhancement [14,15]. The experimental detections and applications confirm the importance of the theoretical investigations into various optical processes such as four-and six-wave mixing [16][17][18][19][20], eight-wave mixing [21], higher-order harmonic generation [22][23][24][25], parametric amplification [26], Raman [27] and hyper-Raman processes [28], and so forth. Higher-order sub-Poissonian statistics have been studied by a number of authors such as those in 2 International Journal of Optics [29][30][31].…”

“…The effect of the stimulated interaction is represented by the factor (|β| 4 + 4|β| 2 + 2). Using (21) and (23), the second-order amplitude is expressed as…”

Variance and Mandel’s Q parameter in para-squeezed states with squeezed parameter in a single mode electromagnetic field

“…Lately, numerous researchers have recently explored non classical states of electromagnetic field. The squeezed states (Rani et al 2007a(Rani et al , 2007b and squeezed displaced number states (Celia et al, 1998) can be considered as quite possibly the most examined states due to heavy low noise. Due to this, such states have great importance in gravitational wave detection (Chua et al 2014), quantum sensors (Lawrie et al 2019), imaging (Brid et al 2010) and cryptography (Hillery 2000).…”

Squeezing up to fourth-order in the pump mode of eight-wave mixing process

“…Earlier the authors have studied the squeezing and photon statistical effects in spontaneous and stimulated eight wave mixing process (Rani et al 2007). In this paper we intend to investigate the occurrence of squeezing up to fourth order in the pump mode of eight wave mixing during interaction of waves in a different way in the non-linear medium.…”