Simultaneous higher-order Hong-Mandel's squeezing and higher-order sub-Poissonian photon statistics in superposed coherent states

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• 作者：Pankaj Kumarp>ap>p> ; p>p>pankaj_k25@rediffmail.com" class="auth_mail" title="E-mail the corresponding authorp> ; Rakesh Kumarp>bp>p> ; p>p>r_rkumar123@rediffmail.com" class="auth_mail" title="E-mail the corresponding authorp> ; Hari Prakashp>cp>p> ; p>p>prakash_hari123@rediffmail.com" class="auth_mail" title="E-mail the corresponding authorp>
• 关键词：42.50.Dv
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：127
• 期：11
• 页码：4826-4830
• 全文大小：570 K

文摘

We study maximum simultaneous 2n  th-order Hong and Mandel's squeezing of the most general the Hermitian operator, pan id="mmlsi7" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si7.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=97ba718de8fe46885ba343998d0b74ca" title="Click to view the MathML source">X_θ≡X₁cosθ+X₂sinθpan>pan class="mathContainer hidden">pan class="mathCode">$X_{\theta }\equiv X_1\cos \theta +X_2\sin \theta$pan>pan>pan>, and nth-order sub-Poissonian photon statistics (connected with expectation value of 2n  th power of number fluctuation), in the most general superposition state, pan id="mmlsi8" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si8.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=516dbd7f4155825dd408740c55370368" title="Click to view the MathML source">|ψ〉=Z₁|α〉+Z₂|β〉pan>pan class="mathContainer hidden">pan class="mathCode">pan>pan>pan> of two coherent states pan id="mmlsi9" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si9.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=37704d747f77555b1873b51a81e1d7b8" title="Click to view the MathML source">|α〉pan>pan class="mathContainer hidden">pan class="mathCode">pan>pan>pan> and pan id="mmlsi10" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si10.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=2da87ad17eed5595898092ed50ad0408" title="Click to view the MathML source">|β〉pan>pan class="mathContainer hidden">pan class="mathCode">pan>pan>pan>. Here Hermitian operators X_1,2 are defined by X₁ + iX₂ = a, the annihilation operator, complex numbers Z_1,2, α, β are all arbitrary and the only restriction on these is the normalization condition of the state. We find a linear relationship between these two non-classical effects when the angle θ = arg(α + β  ) and pan id="mmlsi11" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si11.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=0cc42085cdb1faead8fb4b70d58d9d23" title="Click to view the MathML source">|α+β|≫|α−β|pan>pan class="mathContainer hidden">pan class="mathCode">pan>pan>pan>. We show that maximum simultaneous 2nth-order Hong and Mandel's squeezing for the operator X_θ and n  th-order sub-Poissonian photon statistics in the state occur for an infinite combinations with pan id="mmlsi12" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si12.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=49670f289120eec61a0347780c832576" title="Click to view the MathML source">α−β=A_2nexp[±i(1/2)π+iθ]pan>pan class="mathContainer hidden">pan class="mathCode">pan>pan>pan>; pan id="mmlsi13" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si13.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=a7128869b7ab27ce37b7109e7fa18c22" title="Click to view the MathML source">A_2npan>pan class="mathContainer hidden">pan class="mathCode">$A_{2n}$pan>pan>pan> is a constant which depends on the order of squeezing, pan id="mmlsi14" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si14.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=2b86c8a911265b67dfaef35add214408" title="Click to view the MathML source">Z₂/Z₁=exp[(1/2)(βα*−β*α)]pan>pan class="mathContainer hidden">pan class="mathCode">pan>pan>pan> and with θ = arg(α + β  ) and pan id="mmlsi11" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0030402616001753&_mathId=si11.gif&_user=111111111&_pii=S0030402616001753&_rdoc=1&_issn=00304026&md5=0cc42085cdb1faead8fb4b70d58d9d23" title="Click to view the MathML source">|α+β|≫|α−β|pan>pan class="mathContainer hidden">pan class="mathCode">pan>pan>pan>. We also illustrate analytically and numerically by an example that both effects occur simultaneously for high-intensity field but for observation of such effects, sensitive settings of the parameters are required.