Observation of amplitude squeezing of the up-converted mode in second harmonic generation

Sizmann, A.; Horowicz, R. J.; Wagner, G; Leuchs, Gerd

doi:10.1016/0030-4018(90)90375-4

Cited by 119 publications

(42 citation statements)

References 14 publications

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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: 84%

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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Section: Introductionmentioning

confidence: 84%

Higher-Order Amplitude Squeezing in Six-Wave Mixing Process

Rani¹,

Lal²,

Singh³

2011

International Journal of Optics

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“…The possibility of using frequency doubling may be convenient for reaching spectral regions that are not readily accessible by down conversion. It is well known that quadrature squeezing of both the fundamental and harmonic fields occurs in second harmonic generation [19,20,21]. The generation of multibeam correlations in second harmonic generation is less well studied than in the case of parametric down conversion.…”

Section: Introductionmentioning

confidence: 99%

Intensity correlations and entanglement by frequency doubling in a two-port resonator

Lim

Saffman

2006

Phys. Rev. A

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We show that non-classical intensity correlations and quadrature entanglement can be generated by frequency doubling in a resonator with two output ports. We predict twin-beam intensity correlations 6 dB below the coherent state limit, and that the product of the inference variances of the quadrature fluctuations gives an Einstein-Podolsky-Rosen (EPR) correlation coefficient of VEPR = 0.6 < 1. Comparison with an entanglement source based on combining two frequency doublers with a beam splitter shows that the dual ported resonator provides stronger entanglement at lower levels of individual beam squeezing. Calculations are performed using a self-consistent propagation method that does not invoke a mean field approximation. Results are given for physically realistic parameters that account for the Gaussian shape of the intracavity beams, as well as intracavity losses.

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“…Hillery has shown that amplitude squared squeezed states can be used for reduction of noise for nonlinear optical systems [25]. Higher-order squeezing has useful application in prototype gravitational wave detection [26], higher harmonic generation [27,28], hyper-Raman scattering [29], parametric amplification [30], Six-wave mixing process [31], and so forth.The present article is organized as follows: at first we describe the model Hamiltonian of a generic quadratically coupled OMS and its perturbative solutions for Heisenberg equation of motion corresponds to various field modes. Using the criteria for different higher order squeezing we have investigated the existence of squeezed states for various field modes.…”

Section: Introductionmentioning

confidence: 99%