nTH-ORDER SQUEEZING OF THE FIELD AMPLITUDE IN RAMAN PROCESS AS A GENERALIZATION OF THE HIGHER-ORDER SQUEEZING

Giri, Dilip Kumar; Gupta, Partha Sarathi

doi:10.1142/s0217979205029444

Cited by 4 publications

(3 citation statements)

References 17 publications

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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%

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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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Section: Introductionmentioning

confidence: 99%

“…Also enhancement of amplitude-squared squeezing is studied by mixing it with coherent light beam [41]. Amplitude nth-power squeezing for higher-order has been studied by several authors with n = 3 [42], 4 [43], 5 [44], and for n = k [45].…”

Section: Introductionmentioning

confidence: 99%

A proposal for experimental detection of amplitude nth-power squeezing

Prakash¹,

Yadav²

2012

Optics Communications

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“…Higher order non-linearity can play an important role in the generation of squeezed light. Generations of squeezed states in some non-linear optical processes have been investigated, for example, harmonic generation (Sizman et al 1990;Gerorkyan et al 1997), multi-wave mixing (Loudon 1984;Slusher et al 1985;Walls 1984, 1985), parametric amplification (Jawahar Lal and Jaiswal 1998;Kodousek and Perina 1984), Raman (Giri and Gupta 2005) and hyperRaman . Eight wave mixing process has been observed by (Koudoumas et al 1996).…”

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confidence: 99%

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

Rani

Lal²,

Singh

2007

Opt Quant Electron

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Squeezing of the electromagnetic field is investigated in the pump mode during an eight-wave mixing process under short time approximation on the basis of quantum mechanical approach. The coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operator are established. Occurrence of squeezing in the first, second, third and fourth-order field amplitude in the pump mode has been investigated. It depends upon the coupling constant 'g' and the phase values of the field amplitude. The process involves absorption of three pump photons of the same frequency, one pump photon of a different frequency and emission of four probe photons of the same frequency. The dependence of squeezing on photon number is established with investigations into the degree of squeezing in the first and higher order. The photon statistics of the pump mode in the process has also been investigated and found to be sub-Poissonian in nature.

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nTH-ORDER AMPLITUDE SQUEEZING EFFECTS OF RADIATION IN MULTIPHOTON PROCESSES

Giri

Gupta

2006

Int. J. Mod. Phys. B

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Squeezing of the electromagnetic field is a purely quantum mechanical phenomenon and this quantum effect is expected to manifest itself in optical processes in which the nonlinear response of the system to the radiation field plays an important role. It has generated a great deal of interest in view of the possibility of reducing the noise of an optical signal below the vacuum limit i.e. zero-point oscillations. In this paper the concept of nth-order amplitude squeezing is introduced in the fundamental mode in four- and six-wave mixing processes as a generalization of the higher-order squeezing under short-time approximation based on a fully quantum mechanical approach. It established the coupled Heisenberg equations of motion involving real and imaginary parts of the quadrature operators. The condition for occurrence of nth-order squeezing is obtained from which higher-order squeezing upto n=3 are studied. Dependence of squeezing on photon number is also established. The conditions for obtaining maximum and minimum squeezing are obtained. The method of present investigation can be applied to any higher-order non-linear optical processes and the technique can also be extended for studying squeezing in any N-photon process in general. Further, nth-order squeezing of radiation in N-photon process can also be investigated. The results obtained may help in selecting a suitable process to generate optimum squeezing in the radiation field.

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nTH-ORDER SQUEEZING OF THE FIELD AMPLITUDE IN RAMAN PROCESS AS A GENERALIZATION OF THE HIGHER-ORDER SQUEEZING

Cited by 4 publications

References 17 publications

A proposal for experimental detection of amplitude nth-power squeezing

A proposal for experimental detection of amplitude nth-power squeezing

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

nTH-ORDER AMPLITUDE SQUEEZING EFFECTS OF RADIATION IN MULTIPHOTON PROCESSES

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