We present a random number generation scheme that uses broadband measurements
of the vacuum field contained in the radio-frequency sidebands of a single-mode
laser. Even though the measurements may contain technical noise, we show that
suitable algorithms can transform the digitized photocurrents into a string of
random numbers that can be made arbitrarily correlated with a subset of the
quantum fluctuations (high quantum correlation regime) or arbitrarily immune to
environmental fluctuations (high environmental immunity). We demonstrate up to
2 Gbps of real time random number generation that were verified using standard
randomness tests