Based on the sources provided, Tesla's Optimus humanoid robots are confirmed to be fully operational and are no longer prototypes or concept sketches; they are real and science fact.

Regarding their current capabilities and operational status:

• They are walking around Tesla’s Palo Alto lab 24/7.
• They charge themselves.
• They navigate without supervision.
• They are already integrated into basic real-world tasks.
• They are described as learning and adapting in a real work environment.

Elon Musk is quoted confirming that the robots "walk around the office 24/7. No one watches them. They charge themselves". Optimus is powered by Tesla’s AI system originally built for self-driving and uses vision-based learning. They are designed to perform tasks that are repetitive, boring, or dangerous for humans.