Sex! Help!!

My whole life everyone would tell me after you give your virginity away that you'll always be attached to that someone in a way and every time you do it you'll feel an emotional bondage or something with them. But I've had sex 4 times and not once have I felt a deep emotional connection or feel emotionally attached or anything, it's like I deattach myself from my partners when I have sex. 
So my question is, is it normal to feel this way? Does anyone else feel this way when they have sex? Or am I just paranoid for nothing? Because sex is honestly just sex I feel like it doesn't mean anything to me and I know it should or it should be more meaningful.