Database

[{_id:1,field:"somevalue",array:["123","abc","456","def"]},{_id:2,field:"somevalue",array:["zxc","abc","vbn","jkl"]},{_id:3,field:"somevalue",array:["fgh","asd","456","def"]}]

Query

db.collection.aggregate([{"$addFields":{"newArray":{$setIntersection:[["abc","456"],"$array"]}}}])

Result