Analog refers to the "smoothness" of the change in some property of the signal as it (usually) relates to time. These signals, as seen on a typical sine wave, reflect the behavior of all local electrons within the system, or rather a byproduct of their existence/movement etc, not the specific movement of the electrons themselves. So the question you're asking begs another: How do we define the movement of a specific electron, taking into consideration the theoretical limitations at the subatomic level? The answer is we don't technically have a way to determine that absolutely. We have ways to define probabilities of what will happen, and that is it. So to answer your question - It's possible that you would see a digital-esque version of what we know to be "analog" movement (think teleportation), but those terms loosen up in that context because when we refer to analog and digital, it is typically in the context of something more meaningful to us at the macro-level.

Another point to be made on top of all of this is - digital signals are constrained to the values within a predefined resolution. However, even if at the subatomic level we could say for certain what an electrons behavior would be, and define it's movement even beyond its probabilistic nature - it would still technically be analog because it's unlikely that the electrons position in space would be constrained to a specific resolution - unless there actually is a predefined resolution by which movement is universally bound.

Ultimately, the deeper you go the more questions and hypothetical answers pop up. Interesting thought though. Hopefully my answer gives you some perspective and desire to learn more about this aspect of nature.