Database

[{"username":"z","item":[{"name":"A","quantity":1},{"name":"B","quantity":1}]},{"username":"x","item":[{"name":"C","quantity":1},{"name":"D","quantity":1}]}]

Query

db.collection.update({username:"z"},{$inc:{"item.$[elem].quantity":1}},{arrayFilters:[{"elem.name":"A"}]})

Result