Exinanition is a now seldom-used word that means an emptying out or taking away. Swedenborg uses it to describe the state of the Lord during his life on earth, when He felt separated from the Divine, as, for example, he felt when praying in the garden of Gethsemane.
During His life on earth Jesus went through varying states of mind, and of spiritual progress, as He gradually put off the human heredity that He had taken on from Mary. Broadly, these states can be classified as states of glorification and states of exinanition.
When Jesus was deep in His Mary-human consciousness, He felt alone in the temptations he faced, as if what was Divine had been emptied from Him. This burden He faced time after time as each of the maternal hereditary evil tendencies that he had deliberately taken on opened Him to temptation by the hells. Those were states of exinanition, and they were intentional, and necessary, for Him to go through.
Glorification is the state that Jesus was in when He was more aware of the divine that was His very being - states when he was healing people, teaching with authority, casting out demons, and working miracles.
After the crucifixion, spiritually all of Jesus's heredity from Mary was gone or emptied out, and when He rose on Easter morning even the substance of his physical body had been replaced.
(References: Canons of the New Church 19; The Doctrine of the New Jerusalem Regarding the Lord 35)