I'm an e4 at meta with 3.5 yoe and if i had stayed here, my manager would have put me up for promotion in the mid year. However, i decided to switch companies and join anthropic. They hired me as a e4 equivalent, but i don't want to lose the momentum i built at meta, is there anything i can do to speed up my promo at anthropic given that i was so close at meta?
Since you're joining at mid level, the good news is that a lot of the momentum is coming from individual skill.
The main behavior I'd demonstrate to show that you're serious is being proactive.
Being close to E5 at Meta means nothing to your Anthropic manager: so you need to set the baseline that you're doing more than what's needed beyond E4/mid-level and that impression can be seen. If your manager views your baseline as an average mid-level engineer, they likely won't take you as seriously. Once that baseline is set, I'd look to the following two:
A lot of the onboarding course is about this! I like the framing of having a "trust score" when you start at a company, and you want to quickly move that score up: Why Onboarding Matters.
Two things I'd add to Jonathan: