I know there's a difference because I can feel that I'm in a special relationship with Him even though surprisingly I still have doubts from time to time, but it's rather difficult for me to define. :/
Look at a couple scriptures that brings the believer into a new knowledge and understanding. It has to do with "the revelation of Jesus Christ." The indwelling Christ revealed in you - to you as your only life.
11 But I certify you, brethren, that the gospel which was preached of me is not after man.
12 For I neither received it of man, neither was I taught it, but by the revelation of Jesus Christ.
15 But when it pleased God, who separated me from my mother's womb, and called me by his grace,
16 To reveal his Son in me, that I might preach him among the heathen; immediately I conferred not with flesh and blood: - Galatians 1:11-12,15-16
20 I am crucified with Christ: nevertheless I live; yet not I, but Christ liveth in me: and the life which I now live in the flesh I live by the faith of the Son of God, who loved me, and gave himself for me. - Galatians 2:20.