Abstract: Electric field sensors based on Rydberg atoms and their unique capabilities, relative to traditional sensors, are used for detecting radio frequency (RF) signals. Simultaneous demodulation and detection of multiple RF tones spanning nearly two decades (six octaves) are provided. The continuous recovery of the phase and amplitude of each tone and the sensitivity of the system and its bandwidth capabilities for multiband detection are provided. A digital communication protocol is also provided that simultaneously receives on-off-keyed binary data from four bands spanning nearly one decade of frequency.