The squeezing of radiation in four-wave mixing processes

Giri, Dilip Kumar; Gupta, Partha Sarathi

doi:10.1088/1464-4266/6/1/015

Cited by 28 publications

(15 citation statements)

References 22 publications

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“…There have been many theoretical and experimental developmcnls connected with squeezed states in the past decades in a variety of nonlinear optical processes, such as harmonic generation [5 9], multiwave mixing processes [10 16], Raman processes [17] and hyper-Raman processes [18]. More recently, higher-order squeezing has been studied in various nonlinear optical processes [19][20][21][22][23][24]. Owing lo their high nonlinearities, they can play an important role in the generation of optimum squeezed light.…”

Section: Introductionmentioning

confidence: 99%

Higher-order squeezing of the electromagnetic field in spontaneous and stimulated Raman processes

Giri¹,

Gupta²

2005

Journal of Modern Optics

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The occurrence of fourth and fifth-order squeezing in the fundamental tnode of the electromagnetic field in spontaneous and stimulated Raman processes under the short-time approximation is investigated on the basis of a fully quantummechanical approach. In an idealized tnodel. the Raman process is looked upon as a two-photon on a one phonon interaction process. The eouplcd Heisenberg equations of motion involving real and imaginary parts of the quadrature operators are established. The dependence of fourth-and fifth-order squeezing in terms of the signal-to-noise ratio on the number of photons is investigated. We have also established the amplitude squeezing effects in the Stokes and vibrational modes, which is found to be dependent on higher-order difference squeezing showing a difference squeezing that can be converted to normal squeezing.

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Section: Introductionmentioning

confidence: 99%

Higher-order squeezing of the electromagnetic field in spontaneous and stimulated Raman processes

Giri¹,

Gupta²

2005

Journal of Modern Optics

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“…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].…”

Section: Introductionmentioning

confidence: 86%

Higher-Order Amplitude Squeezing in Six-Wave Mixing Process

Rani¹,

Lal²,

Singh³

2011

International Journal of Optics

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We investigate theoretically the generation of squeezed states in spontaneous and stimulated six-wave mixing process quantum mechanically. It has been found that squeezing occurs in field amplitude, amplitude-squared, amplitude-cubed, and fourth power of field amplitude of fundamental mode in the process. It is found to be dependent on coupling parameter "g" (characteristics of higher-order susceptibility tensor) and phase values of the field amplitude under short-time approximation. Six-wave mixing is a process which involves absorption of three pump photons and emission of two probe photons of the same frequency and a signal photon of different frequency. It is shown that squeezing is greater in a stimulated interaction than the corresponding squeezing in spontaneous process. The degree of squeezing depends upon the photon number in first and higher orders of field amplitude. We study the statistical behaviour of quantum field in the fundamental mode and found it to be sub-Poissonian in nature. The signalto-noise ratio has been studied in different orders. It is found that signal-to-noise ratio is higher in lower orders. This study when supplemented with experimental observations offers possibility of improving performance of many optical devices and optical communication networks.

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“…The spirit in this generalization of squeezing is entirely different from that of lowest order amplitude squeezing, as in the former the uncertainty relations for generalized quadrature operators are used while for the latter number-phase uncertainty relations are used. Just after the publication of papers of Hillery [33] and Zhang et al [34], two papers of Zhan [35] used the phrase "Amplitude N th-Power Squeezing" for such generalization and since then this phrase has been used invariably in all later publications [36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

“…Amplitude-squared squeezing has been studied for an anharmonic oscillator [36], the interaction between atom and radiation field [37], mixing of waves [38], Kerr medium [39], coherent states [40]. Also enhancement of amplitude-squared squeezing is studied by mixing it with coherent light beam [41].…”

Section: Introductionmentioning

confidence: 99%

A proposal for experimental detection of amplitude nth-power squeezing

Prakash¹,

Yadav²

2012

Optics Communications

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Recently, in several theoretical investigations, amplitude nth-power squeezing has been studied with n = 2, 3, 4, 5. In the present paper, we give a proposal for experimental detection of amplitude nth-power squeezing using ordinary homodyning with coherent light for arbitrary power n and discuss in detail its theory. The proposed scheme requires only repeated measurements of the factorial moments of number of photons in the light obtained after homodyning, with various shifts of phase of coherent light, and involves no approximations, whatsoever. This has advantage over the method proposed by Shchukin and Vogel [Phys. Rev. A 72, 043808 (2005)] in that our method requires only one beam splitter and only one photodetector, and also lesser number of repeatitions of experiment with phase-shifted coherent light.

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The squeezing of radiation in four-wave mixing processes

Cited by 28 publications

References 22 publications

Higher-order squeezing of the electromagnetic field in spontaneous and stimulated Raman processes

Higher-order squeezing of the electromagnetic field in spontaneous and stimulated Raman processes

Higher-Order Amplitude Squeezing in Six-Wave Mixing Process

A proposal for experimental detection of amplitude nth-power squeezing

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