In the enormous amount of scientific literature it can be quite challenging to find the experiments you are looking for. For example with the following idea I came up with during my search for some more understanding about how all those quantum concepts fundamentally work.
This is the idea: After photons went through a beam splitter, they are in superposition of path A and path B. Then they go through a double slit. What probability function will be measured on the screen?
I expect it to be an interference pattern, with half the intensity of what it would have been if there was no beam splitter and just one detector.
Now I wonder, has this experiment been done and are that indeed the results?
If you know the answer to this, please let me know!