Difference between "subsequently" and "consequently"?

When studying and reading course material in "softer" sciences that are descriptive the word "subsequently" appears in a way like "and subsequently" ...what does it mean, disctinct from "consequently" ?

Is the difference that "subsequently" doesn't imply a causality and the word "consequently" does? For instance A ⇒ B should read "A and consequently B" and in that case using the word "subsequently" is not false but it's not right since the word subsequently doesn't imply a causality which A ⇒ B does, so when talking about causality the we should use is "consequently"?

You're correct: subsequently doesn't imply causation.

subsequent: Following in order or succession; coming or placed after, esp. immediately after.

consequent: Following as an effect or result; resulting.

(Both definitions are from the Oxford English Dictionary.)

You might use subsequently to avoid the post hoc, ergo propter hoc fallacy.