Quote from @Wesley W.:
Agree with @JD Martin. Here we have to properly evict, and store for 30 days. My lease states they must pay for storage fees to get their stuff back.
In your situation, I would move to evict. If she left the utilities on and her possessions were still present inside, you'd have a hard time making the case to a judge that she absconded.
One "short cut" you could try is reaching out to her and explaining your situation with her still in legal possession of the unit and not paying rent to ask her to send you a "return of possession" notice (search it up online) to stop the accruing charges to her. You may even proactively negotiate to waive some of what's currently due if she does this within 3 days, or whatever.
What I've suggested is essentially a "cash for keys" scenario, which I'm philosophically against - but it is a solution you could try.
I did look it up and AZ does have some rules for abandonment which I've posted below.
"J. For the purposes of this section, "abandonment" means either of the following:
1. The absence of the tenant from the dwelling unit, without notice to the landlord for at least seven days, if rent for the dwelling unit is outstanding and unpaid for ten days and there is no reasonable evidence other than the presence of the tenant's personal property that the tenant is occupying the residence.
2. The absence of the tenant for at least five days, if the rent for the dwelling unit is outstanding and unpaid for five days and none of the tenant's personal property is in the dwelling unit.
A. If a dwelling unit is abandoned after the time prescribed in subsection J of this section, the landlord shall send the tenant a notice of abandonment by certified mail, return receipt requested, addressed to the tenant's last known address and to any of the tenant's alternate addresses known to the landlord. The landlord shall also post a notice of abandonment on the door to the dwelling unit or any other conspicuous place on the property for five days.
B. Five days after the notice of abandonment has been both posted and mailed, the landlord may retake the dwelling unit and rerent the dwelling unit at a fair rental value if no personal property remains in the dwelling unit. After the landlord retakes the dwelling unit, money held by the landlord as a security deposit is forfeited and shall be applied to the payment of any accrued rent and other reasonable costs incurred by the landlord by reason of the tenant's abandonment.
C. If the tenant abandons the dwelling unit, the landlord shall make reasonable efforts to rent the dwelling unit at a fair rental. If the landlord rents the dwelling unit for a term beginning before the expiration of the rental agreement, the rental agreement is deemed to be terminated as of the date the new tenancy begins. If the landlord fails to use reasonable efforts to rent the dwelling unit at a fair rental or if the landlord accepts the abandonment as a surrender, the rental agreement is deemed to be terminated by the landlord as of the date the landlord has notice of the abandonment. If the tenancy is from month to month or week to week, the term of the rental agreement for this purpose shall be deemed to be a month or a week, as the case may be."
There is more about storing a tenant's personal property and such but it seems like essentially it comes down to whether the tenant's personal property is in the unit or not. If not, then it's 5 days + certified notice + 5 days and I can retake the unit. If personal property is in the unit then it's 10 days + certified notice + 5 days and I can retake the unit (such as the case I described above) but then there is the matter of storing the tenant's stuff which is a pain.
An eviction on the other hand is 5 days notice + eviction paperwork + process server + 3 to 7 days for a court date + 7 days the judge usually gives them to come up with the rent or move out but I would also get a judgement for late rent + fees.
I guess the main difference between abandonment or eviction would be whether or not I know if there has been reasonable evidence of the tenant's presence at the property or not.