Single Photon though prism

What will happen to a single photon when it goes through a prism?

Will it just be deflected in the direction related to its frequency?

I made this drawing for better understanding, here if I place a set of detectors after the prism, only one of them would detect the photon, contrary to a polychromatic wave light where all of them would trigger. Does this actually happen?

• Do you mind telling me how you created the graphic? – garyp Dec 3 '18 at 20:48

A good answer to this question would require knowing the source of the single photon you're asking about. If the beam from a laser emitting at, say, 532 nm and having a bandwidth of, say, 0.1 nm, is passed through a prism, the angular spread of the beam will be extremely small -- let's say an angle of $$\alpha$$. Any individual photon in that beam will contain a mix of wavelengths and will land somewhere within the angular spread $$\alpha$$. If the beam comes from a continuum laser which has a bandwidth that covers the visible spectrum from ~650 nm to ~400nm, then the beam will spread into a rainbow upon passing through the prism, and will cover a much wider angle $$\beta$$. And, any single photon in the beam will land somewhere within the angular spread $$\beta$$.