Upon the sentencing of any convicted criminal to incarceration in any state correctional facility, the Attorney General may file a claim for future maintenance and support of such inmate with the court from which said inmate was sentenced, and thereupon the court may make an order making such inmate's estate or property liable for the expenses of such future care and support by the Department as is more fully provided in § 6532(f) of this title, and such claim, upon approval by the court, shall constitute a lien upon all property, real and personal, of said prisoner.