"Can" in zero and first conditional.

[Lycen]

Hi, I am somewhat confused by the following and need some clarification.
From my knowledge, modal "can" be included in both zero and first conditionals. It seems to me that "can" is rather flexible in usage.

Zero conditional
When you are quiet, I can study.
Seems to mean:
When you are quiet, I am able to study.

First conditional
When you are asleep (in the future) , I can study.
Seems to mean:
When you are asleep, I am able to study.
OR
When you are asleep, I will be able to study.

Am I correct?

And although both zero & first conditional have this:
When you are... , I am able to study

What I understand is:
For zero conditional, "are" and "am" are both on the same temporal position and happen together.

For first conditional, "are" is of the future, "am" refers to present state and "to study" is a future action.

Opinions? Thank you.

[Mordant]

"Can" can be included in both.

[Lycen]

Hi Mordant, I know "can" can be included in both zero and first conditional. "Can" seems to mean both "will be able" and "am/is able" to me, could I have some clarifications?

Zero conditional
When you are quiet, I can study.
Means:
When you are quiet, I am able to study.

First conditional
When you are asleep (in the future) , I can study. (I can study when you are asleep)

Does "can" mean:

When you are asleep, I am able to study. (I am able to study when you are asleep)

OR

When you are asleep, I will be able to study. (I will be able to study when you are asleep)

[Mordant]

It means the latter.