I'll chime in here with more of this.
1) Make sure all work related correspondence goes via specific email aliases, logins, etc, etc. And turn it off when away from work.
2) Probably, get a personal phone, and just turn off your work phone after hours.
One way to burn out, is to never, ever have work, and work related issues, out of your mind. Unless you are on-call, there is no reason at all someone needs to reach out to you after hours.
And one needs, absolutely needs to not think of work after hours!
Of course people will burn out, if every waking second is filled with work thoughts! Just glancing at status messages -- thinking of work.
Get rid of it. Decouple 100%, completely, totally from work when not there.