Here is the full list of all 13 Quantum: Recharged achievements.
Kill 50 Electron enemies
Acquire 25 pickups (total)
Maintain a 10x combo for 10 seconds
Acquire each pickup once
Kill 15 enemies in a single dead zone
Reach maximum 10x combo meter
Kill over 10 enemies in a single dead zone
Complete all missions
Reach 100000 points in arcade mode (single player or co-op)
Reach 250000 points in arcade mode (single player or co-op)
Revive co-op partner in Arcade or missions
Survive 5 minutes in Arcade mode (single player or co-op)
Complete all achievements