Is what the husband said to his wife, "I swear you will not stay in the house, and go to your family's house," considered a divorce, especially given that there was absolutely no intention of divorce?

Your statement to your wife is not an explicit divorce (talaq sareeh) but rather an implicit one (kinayah). An implicit statement depends on the husband's intention. So, if you did not have the intention of divorce, then no divorce has occurred.