When will I feel connected to my S/O again

My baby was born dec 24th, I am the main care giver even though we live with dad. Dad works full time starting a company and works late hours and comes home tired, so tired that he falls asleep sitting up. He gets 8 hours of sleep a night, I get approx 3. All I ask when he comes home is to give me a couple hours where he is fully engaged with the baby so I can shut down and regroup and focus on myself for a little.

Instead he comes home and takes for ever to unwind from working and showering and by the time he is available hes so tired he cant focus on the baby, leaving me fully responsible for the baby 24 hours a day by myself.

Now with all of this going on I'm finding it hard to put any energy into our relationship. He wants to fool around and i do not. If I do have some free time i want to just relax. Scroll through Facebook or just watch TV or have a bath.. just time to myself. I can feel that its causing a slight speed bump in our relationship and I dont want that

When will I start to want to do things with him. And why do you think I dont feel connected anymore. I was over the moon in love while pregnant and yes I still love him but it's not how it was