Well 11 volts is essentially dead.
A fully charged battery should be 12.0 to 12.5 volts.
Since it's a new battery, I'd check your charging system output.
If you have (or a friend has) digital voltmeter, crank the engine and connect the voltmeter across the battery posts, then rev the engine to around 4000 to 5000 RPM.
The output should be 13.5 to 14.5 volts. It should not be over 15 volts.
If you're not getting that output to your battery, then your rectifier/regulator may be having problems.
Make sure your battery posts are clean and tight.
Also check the frame ground connector (on the right side near the lower sub-frame bolt) also has a good clean connection and is snug.
Do you have any devices that may be draining the battery (alarm systems, accent lights, HID light, etc).
Riding with both light on at a decent speed shouldn't have much effect.
Idling in traffic with both lights on could maybe drain the battery.
Those light do draw some current.