The difference between "adopt" and "use" when they refer to utilizing something

Both of "adopt" and "use" can represent utilize something.
What is the difference? I feel "adopt" is more formal, but I am not sure of my feelings.

For instance, I am writing an academic paper. Could I use

We adopt the Jaccard index in our implementation.

Or shall I use

We use the Jaccard index in our implementation.

I cannot distinguish the difference between the above two sentences and would like to choose
"adopt".

Thanks in advance!