Meantime
While you're gone, I stay here like something you lost/left along your way.
While you're gone, I write you like I am writing [to myself]/[out my] dreams or wishes. (better would be "writing dreams or wishes to myself", but I don't want to change the structure. Since this is poetry "writing myself dreams or wishes" works quite well too.)
While you're gone, I remember you and our moments, our silences in bed. (since this poetry, "the" can go in there if you like but it's more "correct" without the definite article here)
While you're gone, I sing our songs, I read the letters and I try to relate to you. (relate with you implies interaction; relate to you implies an attempt at understanding)
While you're gone, I'm waiting for you.
While you're gone, Do you still remember me?
Please, send me a signal so that I may know.
I'm still here, without you but with you.
It makes me sad. Very nice.