Jesus did not die Spiritually. There is no such thing in the written Word of God.
...but of the tree of the knowledge of good and evil you shall not eat, for in the day that you eat of it you shall die die. (Genesis 2:17)
The die die means to die once and then to die again, a reference to the second death.
The first death is physical, the second death is spiritual.
Jesus said, "And do not fear those who kill the body but cannot kill the soul. But rather fear Him who is able to destroy both soul and body in gehenna."