I am one of those guys who knocks on your door after the bank takes possesion of your home, so I may be meeting you soon. Since you are a tenant, new laws now allow you to stay in your home for 90 days, provided you can come up with a valid lease agreement and you are not related to the owner (person who lost the home). If you signed a one-year lease and still have more than 90 days left on that lease, you can stay for the term of your lease, but would still need to pay rent to the bank.
The bank does want to take possession of the property as soon as it can, but they will offer you cash for your keys and for you to leave the home empty and in broom clean condition. Banks are offering several thousand dollars these days, to make it worth your while. Contrary to some postings, we are not here "to do a job on you". Most of us want to help with your negotiation with the bank and work toward a solution that makes your transition not such a bad thing.
If you know that your home is going to auction on a certain date, you may want to contact your property management company to negotiate getting your deposit back NOW, because once it changes hands, your chances of getting your deposit back will vanish. If they won't give your deposit back (full or partial), then why would you pay rent, knowing that your landlord made a decision long ago to stop paying their mortgage payments?