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arXiv:quant-ph/0408126

Spatial overlap of nonclassical ultrashort light pulses and formation of polarization-squeezed light

Florentin Popescu

Published Aug 19, 2004• 0 citations
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Abstract

We investigate the spatial overlap of nonclassical ultrashort light pulses produced by self-phase modulation effect in electronic Kerr media and its relevance in the formation of polarization-squeezed states of light. The light polarization is treated in terms of four quantum Stokes parameters whose spectra of quantum fluctuations are investigated. We show that the frequency at which the suppression of quantum fluctuations of Stokes parameters is the greatest can be controlled by adjusting the linear phase difference between pulses. By varying the intensity of one pulse one can suppress effectively the quantum fluctuations of Stokes parameters. We study the overlap of nonclassical pulses inside of an anisotropic electronic Kerr medium and we show that the cross-phase modulation effect can be employed to control the polarization-squeezed state of light. Moreover, we establish that the change of the intensity or of the nonlinear phase shift per photon for one pulse controls effectively the squeezing of Stokes parameters. The spatial overlap of a coherent pulse field with an interference pulse produced by mixing two quadrature-squeezed pulses on a beam splitter is analyzed. It is found that squeezing is produced in three of the four Stokes parameters, with the squeezing in the first two being simultaneous.

DOI
10.48550/arxiv.quant-ph/0408126

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We investigate the spatial overlap of nonclassical ultrashort light pulses produced by self-phase modulation effect in electronic Kerr media and its relevance in the formation of polarization-squeezed states of light. The light polarization is treated in terms of four quantum Stokes parameters whose spectra of quantum fluctuations are investigated. We show that the frequency at which the suppression of quantum fluctuations of Stokes parameters is the greatest can be controlled by adjusting the linear phase difference between pulses. By varying the intensity of one pulse one can suppress effectively the quantum fluctuations of Stokes parameters. We study the overlap of nonclassical pulses inside of an anisotropic electronic Kerr medium and we show that the cross-phase modulation effect can be employed to control the polarization-squeezed state of light. Moreover, we establish that the change of the intensity or of the nonlinear phase shift per photon for one pulse controls effectively the squeezing of Stokes parameters. The spatial overlap of a coherent pulse field with an interference pulse produced by mixing two quadrature-squeezed pulses on a beam splitter is analyzed. It is found that squeezing is produced in three of the four Stokes parameters, with the squeezing in the first two being simultaneous.
We investigate the formation of the polarization-squeezed state of light in different schemes of perfect spatial overlap of quadrature-squeezed ultrashort light pulses produced by self-phase modulation effect in electronic Kerr media. The light polarization is treated in terms of four Stokes operators whose spectra of quantum fluctuations are investigated for each configuration of interest. We establish that the frequency at which the suppression of quantum fluctuations of Stokes operators is the greatest can be controlled by adjusting the linear phase difference between initial coherent pulses. The increase of the intensity of one pulse can squeeze efficiently the quantum fluctuations of Stokes operators. We study the spatial overlap of quadrature-squeezed pulses produced in an anisotropic electronic Kerr medium and show that the cross-phase modulation which occurs in addition to the self-phase one can be employed to control the fluctuation spectra of Stokes operators. The change of the nonlinear phase shift per photon for one pulse controls effectively the polarization squeezing. The spatial overlap of a coherent pulse with an interference one, produced by mixing two quadrature-squeezed pulses on a beam splitter, is analysed. It is found that squeezing is produced in three of the four Stokes operators, with the squeezing in the first two being simultaneous.
We analyze the formation of polarization-squeezed light in a medium with electronic Kerr nonlinearity. Quantum Stokes parameters are considered and the spectra of their quantum fluctuations are investigated. It is established that the frequency at which the suppression of quantum fluctuations is the greatest can be controlled by adjusting the linear phase difference between pulses. We shown that by varying the intensity or the nonlinear phase shift per photon for one pulse, one can effectively control the suppression of quantum fluctuations of the quantum Stokes parameters.
A consistent quantum theory of polarization squeezed light formation in a inertial nonlinear medium is developed taking into account the response time of electronic Kerr nonlinearity. Stokes parameters are considered and their fluctuations spectra are investigated. It is established that the frequency at which the suppression of quantum fluctuations of Stokes parameters is the greatest can be controlled by adjusting the linear phase difference between pulses. It is shown that by varying both the intensity and the nonlinear phase shift per photon for one pulse one can effectively control the suppression of quantum fluctuations of Stokes parameters.
Quantum theory of self-phase and cross-phase modulation of ultrashort light pulses in the Kerr medium is developed, taking into account the response time of an electronic nonlinearity. The corresponding algebra of time-dependent Bose operators is elaborated. It is established that the spectral region of the pulse where the quadrature fluctuation level is lower than the shot-noise one depends on the value of the nonlinear phase shift, the intensity of another pulse and the relaxation time of the nonlinearity. It is shown that the frequency of the pulse spectrum at which the suppression of fluctuations is maximum can be controlled by adjusting the other pulse intensity.
The consistent quantum theory of self-phase modulation (SPM) and cross-phase modulation (XPM) for ultrashort light pulses (USP) in medium with electronic Kerr-nonlinearity are developed. The approach makes use of momentum operator of electrical field which takes account of the inertial behaviour of the nonlinearity. The spectrum of quantum fluctuations of squeezed-quadrature component as a function of response time of nonlinearity and values of nonlinear phase shifts due to the SPM and XPM effects, is investigated.
The consistent quantum theory of self-phase modulation ( SPM ) and cross-phase modulation ( XPM ) for ultrashort light pulses ( USPs ) in medium with electronic Kerr-nonlinearity are developed. The approach makes use of momentum operator of electrical field which takes account of the inertial behaviour of the nonlinearity. The spectrum of quantum fluctuations of squeezed-quadrature component as a function of response time of nonlinearity and values of nonlinear phase shifts due to the SPM and XPM effects, is investigated.