If you have a lease, and you have been paying your rent, you will be able to stay in your home for the duration of the lease or you must be given a 90 day notice to vacate. Usually what happens in these cases is that the new owner of the property will negotiate with you to vacate, meaning they will pay you to leave. This is known as 'Cash for Keys'

You say apartment. Any investor picking up the property at auction or if the property goes back to the mortgage holder will want to keep it rented for the income. I continue to pay my rent until further notice.