We propose an experimental scheme for the generation of quantum superpositions of two single-mode equal-intensity coherent states, characterized by the presence of infinite zeros in their photon number distributions.
We theoretically propose a scheme to enhance the photon indistinguishability of spectrally mismatched single photons via Floquet-engineered optical frequency combs in cavity quantum electrodynamic systems. By periodically modulating two distinct single-photon states under a modulation frequency which is exactly equal to the spectral mismatch of two cavity modes, a pair of single-photon frequency-comb states is prepared energy-conservatively based on full unitary operations. The two states show high indistinguishability with an ideal g_{HOM}^{(2)}(0) down to zero due to the superposition of intensity-matched single-photon states coherently distributed across the teeth of the combs.
Utilized the general theory of multimode squeezed state, the squeezing properties of a new kind of multimode superposition state which composed by multimode functional coherent state and multimode functional imaginary coherent state is studied, and it is found that, when the products of sum-number of cavity-modes and squeezing number is an even number, the state can present equal-power sum squeezing effect in some special equal-phase-surface; The spatial distribution of classical intensity of the light-field has a direct influence upon the squeezed degree and the squeezed depth of generalized nonlinear equal-power sum-squeezing of the state ,and with the change of the spatial distribution of classical intensity of each mode, the squeezed degree and the squeezed depth of each mode of the state are anisotropic in spatial distribution.
It is constructed that the four-state superposition multimode functional superposition state light-field│Ψ(fj)〉q composed of the multimode functional coherent state the multimode complex conjugate functional coherent state and their contrary states by equal probability according to the superposition principle of quantum state in quantum mechanics.By utilizing the theory of multimode squeezed state the characteristics of generalized nonlinear equal-power sum-squeezing of the state is studied and it is found when the product of cavity-mode-number and squeezed number is an odd number the two quadrature components of the state can present symmetry equal-power sum-squeezing effect and the squeezed degree the squeezed depth are related intensively to the classical intensity and initial phase of each mode of the state and other parameters.The further research shown that only the second quadrature component of the state can present sum-squeezing effect if the classical intensity of the four three light-fields of the state │Ψ(fj)〉q according to Hermitian Gaussian distribution.