Preliminary analysis of a recent experiment by F. A. Bovino(6)

2021-04-06 06:50

An analysis is made of the results of a recent polarization correlation experiment by Bovino (unpublished) where about 60,000 data have been obtained. I assume that the state of the photon pairs produced in the source (a non-linear crystal) are in a (sligh

ThequestioniswhetherallthedataofBovino´sexperimentmaybe ttedtoeqs.(6)and(7)with10

freeparameters,namelyηa+,ηb+,ηa ,ηb ,γ,V++,V+ ,V +,V andR0.Theanalysissimpli esalotasfollows.Fromeqs.(7)Igettheglobale cienciesbyaveragingoverangles,thatis

ηa+=2 Pa+ ,ηb =2 Pb ,ηa =2 Pa ,ηb+=2 Pb+ .(8)NowImayeliminatethee cienciesηa+,etc.ineqs.(6)usingeqs.(8)andpassfromprobabilitiestocountnumbersbymultiplicationtimesR0intheappropriateplaces.ThusIget

R0R++

=1+V+ cos2φ γ′(cos2β+cos2α) γ′′sin2αsin2β, Ra+ Rb

R0R +

Ra Rb =1 V cos2φ γ′(cos2β cos2α)+γ′′sin2αsin2β.(9)HenceImayde nethefollowingaveragecoincidencedetectionprobability,P(α,β),

P≡16R0f

f≡R+ (α,β)

Ra Rb+ +R++α+ π

4

ThequantumpredictionforPdependsontheanglesαandβonlyviathecombinationα β≡φanditisrathersimple,namely

1PQ(φ)=

(V+++V+ +V ++V 2γ2

,β+4π (10)π,β 4. Ra Rb 4

R++(φ)+R (φ)+R+ (φ)+R +(φ)

6,(12)


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