PTSD was added to the DSM (Diagnostic and Statistical Manual of Mental Disorders) in 1980, but it has been around much longer. It's been called at various times through recent history "Soldier’s Heart" (American Civil War), "Shell Shock" (WWI), and "Combat Fatigue" (WWII and the Korean War).
Based on my research since the Vietnam War, 10-15% of combat veterans have experienced some form of PTSD. No matter what it's called, it's pretty clear that PTSD has been around for some time and fairly prevalent among those that have seen combat.
I have been able to find accounts of PTSD (or symptoms of PTSD) going back to the Middle Ages and the Crusades. Unfortunately, I have been unable to find anything more than conjecture when it comes to PTSD in Roman or Greek soldiers.
Is there any documentation of PTSD (or PTSD-like symptoms) in ancient Roman or Greek troops (e.g. Spartans). What is the consensus among historians (I know that consensus is asking a lot) regarding PTSD among soldiers in antiquity?
This older post from /u/hillsonghoods should be of interest for you.