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One of the most surprising predictions of modern quantum theory is that the vacuum of space is not empty.
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Two-mode squeezing is often discussed in terms of the unitary squeezing operator Θ ( r ) = exp [ r a ( ω + ) a ( ω − ) − r a † ( ω + ) a † ( ω − ) ] \Theta(r)=\exp[ra(\omega_{+})a(\omega_{-})-ra^{\dagger}(\omega_{+})a^{\dagger}(\omega_{-})] where r r is called the squeezing parameter. To connect to this language, one can show that σ 2 = − λ + λ − tanh ( 2 r ) \sigma_{2}=-\lambda_{+}\lambda_{-}\tanh(2r) . This then gives r = ( δ ℓ e / c 0 ) ω + ω − r=(\delta\ell_{e}/c_{0})\sqrt{\omega_{+}\omega_{-}}
Cited in the paper.
In Fig. 3, we have displayed time correlation functions (TCF) which are the Fourier transforms of the frequency correlation functions (FCF) defined in the text. In particular, the value of the TCF at zero delay is the integral of the FCF in the measurement bandwidth. If we assume that the FCF is approximately constant in the measurement bandwidth, the integral reduces to multiplying the FCF by a constant factor. This is the same for all the TCF, and therefore cancels out of the normalized quantities displayed
Cited in the paper.
2011
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