You can use the $size operator to query by array sizes. Consider the following example using the JS shell:
> db.foo.drop()
> db.foo.insert({_id: 1, x:[1,2]});
> db.foo.insert({_id: 2, x:[]});
> db.foo.insert({_id: 3, x:3});
> db.foo.find({x: {$size: 0}})
{ "_id" : 2, "x" : [ ] }
> db.foo.find({x: {$size: 1}})
> db.foo.find({x: {$size: 2}})
{ "_id" : 1, "x" : [ 1, 2 ] }
> db.foo.find({x: {$not: {$size: 2}}})
{ "_id" : 2, "x" : [ ] }
{ "_id" : 3, "x" : 3 }
> db.foo.find({x: {$not: {$size: 0}}})
{ "_id" : 1, "x" : [ 1, 2 ] }
{ "_id" : 3, "x" : 3 }
I'm not familiar with Mongoid, but I found an example using $size in this documentation.
Two caveats with $size are that it cannot utilize an index (other parts of the query certainly can) and it cannot be used in range queries. If you don't mind the additional bookkeeping, a viable option is to store the array's size in a separate field (likely indexed) and query on that any way you like.