An interesting new revelation on simultaneous higher order squeezing in anelectro-magnetic field

We find that the superposition of coherent states psi (SCS) that generates \ 4m > Fock states can squeeze the electromagnetic field conjugate at both fourth order and sixth order (psi (SCS)\(DeltaE(i))(2N)\ psi (SCS)) < < alp ha \(DeltaE(i))(2N)\ alpha > (coh) (i = 1 and 2)(N = 2, 3). A very interest ing point which the present calculation reveals is that the minimum squeezi ng in both the cases (i.e. N = 2, 3) occurs at \ alpha \ = 0.67. A further interesting point is that tile smallest eigenvalue of E-i(2N) obtained by u sing a superposition of \ 4m > Fock states remains nearly the same as the m inimum squeezing value: <(DeltaE(i))(2N)> (minimumsqueezing) similar or equ al to < (E-i)(2N)> (smallesteigenvalue) (i = 1 and 2; N = 2, 3).