Database
[{"id":1,"data":[[ISODate("2000-01-01T00:00:00Z"),2,3,4,6,8],[ISODate("2000-01-03T00:00:00Z"),2,3,4,6,8],[ISODate("2000-01-05T00:00:00Z"),2,3,4,6,8]]},{"id":2}]
Query
db.collection.aggregate([{"$match":{"id":1}},{"$project":{"data":{"$filter":{"input":"$data","as":"entry","cond":{"$gt":[{$first:"$$entry"},ISODate("2000-01-04T00:00:00Z")]}}}}}])