When I plotted it in Matlab, I found that when the two-photon resonance is driven, bunching and anti-bunching both occur, depending on "g",which is the strength of the driving.
I thought only anti bunching would occur, because the system is a quantum-sized system and all the phenomena happened in a microscopic way.
Why bunching effect still happens in a quantum-sized cavity? Why it depends on the driving strength to get results of bunching or anti bunching?
I'm sure only that this is an interesting finding! In a ~ 1967 Bell Labs
paper with C. H. Henry and further in a ~1972 paper with David T. Hon, then my student at USC in LA, we showed that Raman scattering amounts to visible-ir frequency mixing, but with zero-point and thermal population only; it shows up because of momentum conservation. You must have found a critical intensity for your turnover. Can this be interpreted in such terms?
Depends on the system. For example in a nonlinear waveguide array, pure two-photon generation via spontaneous parametric down conversion leads to simultaneous spatial bunching and antibunching:
https://www.researchgate.net/publication/221823136_Spontaneous_parametric_down-conversion_and_quantum_walks_in_arrays_of_quadratic_nonlinear_waveguides
Article Spontaneous Parametric Down-Conversion and Quantum Walks in ...
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