My ex wife move out of the house and has her own apartment ...does she still the right come in and out of the house when she wants?

Since you refer to the other party as your "ex-wife," you are already divorced.  If so, there should be either: (1) a Settlement Agreement (if your ex-wife and you reached resolved all of your issues between yourselves); or (2) a Judgment of Divorce, containing the Family Court Judge's resolution of the issues.  In order to properly answer your question, a lawyer would need to first review whatever documents you have and obtain additional information/documentation from you.  I recommend that you meet with a very experienced New Jersey Divorce Lawyer and get the advice of that attorney regarding your question.   In my view, it would be well worth whatever the cost is.  I have more than 30 years of legal experience and head SALVAGGIO LAW GROUP LLC, a law firm which devotes its entire practice to New Jersey Divorce and Family Law matters.   My firm’s toll-free telephone number is listed below.  Please also feel free to take a look at our Firm Website (www.salvaggiolaw.net).  I wish you the best. David F. Salvaggio, Esq. (877-355-5281)

There is not enough information to answer.  If you are already divorced, and paying alimony and all property has been distributed, then no, your ex-wife does not have any claims to the house.  If you are in the middle of the divorce, and the property issues have not been resolved, then she might.  If you purchased the house while married, or used the property as the marital residence, she might have some claim to a portion of the house.