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European Quantum Electronics Conference (EQEC)

Quantum Correlations in the Polarization Patterns of a Kerr Medium

M. Hoyuelos, Pere Colet, Maxi San Miguel

Published Aug 24, 2005• 0 citations
Publisher
DOI
10.1109/eqec.1998.714747

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We consider a vectorial Kerr-medium model including transverse spatial effects. We analyze cases in which, immediately above the threshold of the spatial instability, the homogeneous pump wave gives rise to two tilted waves corresponding to a stripe pattern in the near field. We analyze both the self-focusing and the self-defocusing case and we point out the existence of anti-correlations between the quantum fluctuations of the intensity of the pump and the sum of the intensities of the two tilted waves creating the transverse pattern in the near field. We also evaluate the efficiency of this scheme as a quantum nondemolition (QND) scheme which uses the tilted waves as a ``meter'' to measure the intensity fluctuations of the pump. Our results show the posibility of a QND measurement in the self-defocusing case. In this case, and for a linearly polarized pump, the output pump beam (uniform in the transverse plane) and the pattern have orthogonal polarization and could be easily separated experimentally.
In this thesis we investigate, experimentally and theoretically, many classical and quantum coherence effects of the light. Initially we investigate the interference patterns formation by nonlocal double slit using classical light sources and comparing the results with those using a twin photos light source generated by Spontaneous Parametric Down Conversion (SPDC). We demonstrate that the classical correlation in wave vectors, in beam splitter outs, is a sufficient condition to the interference pattern to exist. In this work we also investigate experimentally the influence of polarized nonlocal double slit and local double slit. Here is present a alternative Fano based interpretation to explain the reason why the polarization of correlated beam has not influence on pattern fringes. We presented also an investigation about the light source parameters influence on the ghost interference interference. We demonstrate experimentally the relationship between, the coherence and source size, and fringes visibility. We extended the concept of complementarity related to coherence and correlation using the changes of the reference beam coherence and observing it’s influence on the interference patterns of the local double slit. In near-field limit, we investigate the existence of conditionality in the wave vector limited by the aperture of objects placed on the classically correlated beams paths. We demonstrate that is possible to find conditionality between the light emitted through the slits apertures. All these experiments performed using the Brown Twiss intensity interferometer (HBT) served to investigate the difference between the transversal effects with quantum and classical incoherent light. Finally, we demonstrate the first experimental measurement demonstrating the polarization changes on the partially coherent light propagation induced by the coherence source changes. This phenomenom was investigated for the free space propagation and for a nonlinear medium modeled by a Kerr medium.