An 11 mile ride isn't enough or even to close the length or time needed to make you go glycogen depleted even at a time trial effort/wattage load. A simple, balanced, normal breakfast should provide the energy you need. Arriving zonked, might be simply that you're not getting enough sleep or due to some other reason like sickness/cold/flu or a medical condition where your blood sugar levels are abnormal. General fatigue like that is also a sign of over training, meaning that you're putting too much load on your body too soon without enough recovery time.

If you're looking for information on diet, I highly recommend Chris Carmichael's (Lance Armstrong's trainer) book called Food For Fitness.