An Interesting New Revelation on Simultaneous Higher Order Squeezing in an Electro-Magnetic Field
Biswanath Rath · Progress of Theoretical Physics · 2001
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∣(ΔEi)2N∣Ψscs〉 < 〈α∣(ΔEi)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 〈⎱〉 = 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: 〈(ΔEi)2N〉minimumsqueezing ≃ 〈(Ei)2N〉smallesteigenvalue (i = 1 and 2; N = 2,3).