Hello and Welcome! Thank you for allowing me to be of service to you. Please note: (1) this is general information only, not legal advice; and (2) provide you with honest information and not necessarily to tell you might be hoping to hear.
I am truly sorry you are facing this situation. I wish I had a quick simple solution to you problem. I am assuming he quit claimed his interest in the property or does not hold any interest in the property.
First, if the utility company agreed to shut services off (which they may not agree to do) at your request, you are taken the risk that your ex-husband brings an action against you asserting you are a landlord and cut off services which will put you in a position to have to defend yourself. Whether or not this is a valid claim, it could be asserted and would be very time consuming and costly. Also, you run the risk he completely trashes the place in retaliation.
An option is to bring a contempt of court suit against him to have the judge hold him in contempt of court for failing to abide by the divorce decree. If the judge finds him in contempt, he could order him to serve jail time and pay penalty fees.
You can try and notify the police and see if they will remove him as a trespasser. Unfortunately, the police are typically reluctant to get involved in disputes like this and may refuse to go and remove him from the premises. However, some local jurisdictions will do this if you can proof you have title only in your name.
The other option which is likely the quickest is to treat him like a tenant and serve him with a 3 day notice to quit in which he must vacate the premises. If he does not, then you file an eviction suit and have him removed.
I realize this is a lot of work on your behalf and I am sorry for this. I would suggest you have a Connecticut landlord friendly lawyer assist you with the eviction. Some Connecticut County State Bar Associations have a lawyer referral service to assist you with being put in contact with local legal counsel. Also websites such as www.AVVO.com and www.Martindale.com are helpful resources to locating a lawyer.
Here is a good summary of the eviction process published by the Connecticut judiciary: www.jud.ct.gov/publications/hm014.pdf
I apologize that this was probably not the answer you were hoping to receive. However, it would be unfair to you and unprofessional of me were I to provide you with anything less than truthful and honest information.
All my best & encouragement.
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All states have intricacies in their laws and any information given is simply information only and specifically is not intended to be, nor does it constitute, legal advice. This communication does not establish an attorney-client relationship with you.