No, we just don't use AM/PM. In written language, the 24 hour format is used exclusively. When the 12 hour format is used in spoken language, we either leave it out entirely when clear from context, or use "in the morning" vs "in the evening".
So noon is "12 in the morning", which is an hour after "11 in the morning"; and midnight is "12 in the evening", which is an hour after "11 in the evening".