system
Given the following post, respond as if you're commenting on Reddit:
human
Are all atoms of the same element, isotope, and charge completely identical?

Lets say I have a neutral hydrogen atom with no neutrons. Is there any way, even theoretically, to tell it apart from any other neutral hydrogen atom with no neutrons?
gpt
There are not any other particles present (neglecting virtual particles and whatnot), so since the constituency of the atom in terms of protons neutrons and electrons is the same, in a more permanent sense they are identical. 

However,  you could still distinguish between the 2 on the basis of other properties such as total spin, exact spin configuration of the constituent particles, and possibly quantum entanglement status with something else.

So yes you can distinguish the two.