If your wife is making enough breast milk I suggest doing it in shifts.
You hit the hay early and let her breast feed the last feeding before bed.
Then you wake up and bottle feed the next feeding.
Continue alternating.
So if say baby is eating every 3 hours (noon, 3, 6, 9, midnight, 3, 6). You go to bed after the 6 feeding, wife handles the 9 pm feeding then goes to bed, you handle the midnight feeding, wife gets the 3 am, and you get the 6 am.
That's sleeping in 5 hours blocks and that's pretty manageable.
You hit the hay early and let her breast feed the last feeding before bed.
Then you wake up and bottle feed the next feeding.
Continue alternating.
So if say baby is eating every 3 hours (noon, 3, 6, 9, midnight, 3, 6). You go to bed after the 6 feeding, wife handles the 9 pm feeding then goes to bed, you handle the midnight feeding, wife gets the 3 am, and you get the 6 am.
That's sleeping in 5 hours blocks and that's pretty manageable.