Mongodb how can I query a subset of an array for a specific document

I want to run a query to select specific documents. Then on each document, open up an array of sub documents and run a query to filter those sub docs.

Example:

{
  "_id" : ObjectID(23412351346435),
  "list" : [
    {date: ISODate(2015-01-12T00:00:00.000Z), name: "Jan 12"},
    {date: ISODate(2015-01-13T00:00:00.000Z), name: "Jan 13"},
    {date: ISODate(2015-01-14T00:00:00.000Z), name: "Jan 14"}
  ]
}

I'm guessing I can do something with Mongo's aggregate function. I have been able to match the documents I want, but how can I get a sub query going on the array? I tried using $elemMatch but that only returns the first item in the array that matches the date range.

To be clear when I query for ObjectID(23412351346435) and Date range 2015-01-12 to 2015-01-13 I want it to return this;

{
   "_id" : ObjectID(23412351346435),
   "list" : [
        {date: ISODate(2015-01-12T00:00:00.000Z), name: "Jan 12"},
        {date: ISODate(2015-01-13T00:00:00.000Z), name: "Jan 13"}
   ]
}