An Interesting New Revelation on Simultaneous Higher Order Squeezing in an Electro-Magnetic Field.

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  • Interesting New Revelation on Simultaneous Higher Order Squeezing in an Electro Magnetic Field

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We find that the superposition of coherent states Ψscs that generates |4m> Fock states can squeeze the electromagnetic field conjugate at both fourth order and sixth order <Ψscs|(Δ Ei)2N|Ψscs><<α |(Δ Ei)2N |α>coh (i=1 and 2)(N=2,3). A very interesting point which the present calculation reveals is that the minimum squeezing in both the cases (i.e. N=2,3) occurs at |α|=0.67. A further interesting point is that the smallest eigenvalue of Ei2N obtained by using a superposition of |4m> Fock states remains nearly the same as the minimum squeezing value: <(Δ Ei)2N>minimum squeezing ∼eq <( Ei)2N >smallest eigenvalue (i=1 and 2; N=2,3).

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