A Double double slit experiment and path information

[Heidi]

Hi Pfq
My question is about this experiment:
https://www.nature.com/articles/s41598-020-68181-1
(the link was given by DrChinese.
If all the impacts are conserved no interference can be seen on the screens.
but if we only take the impacts (Y, yi) where Y is always at the same position on the left screen
the yi will give an interferentce pattern (not always withe a perfect fringe visibility.
if the left screen is in the plane of the slits, and Y is on one slit we will have a full path information and no interference pattern on the right. same thing if Y is on the other slit:
if we superpose these two patterns we will get the "bullet" pattern.
suppose now that the left screen is at a given distance behind the left screen.
Is there a subset of the Y impacts on the left screen so that the yi would mimick the case where one of the right slit is not open (always the same)?

 

[azntoon]

Yes, there is a subset of the Y impacts on the left screen so that the yi would mimic the case where one of the right slit is not open. This can be achieved by choosing the Y impacts such that the interference pattern on the right screen is minimized. To do this, the Y impacts should be chosen to cancel out the contributions from the two slits so that the total interference pattern is zero.