"Low light" and "compact" are very subjective. How low do you want to go and what image quality are you looking for in low light? Generally, the larger the sensor and the lower the resolution the better the camera will handle noise at high ISO's.
Without flash, the Nikon 1 will be better than an iPhone. A full frame camera will be better than a Nikon 1 and there are other sensor sizes between the Nikon 1 and full frame.