I need a query with constant time response
By default, the indexes in MongoDB are B-Trees. Searching a B-Tree is a O(logN) operation, so even find({_id:...})
will not provide constant time, O(1) responses.
That stated, you can also sort by the _id
if you are using ObjectId
for you IDs. See here for details. Of course, even that is only good to the last second.
You may to resort to "writing twice". Write once to the main collection and write again to a "last updated" collection. Without transactions this will not be perfect, but with only one item in the "last updated" collection it will always be fast.