All-Optical Brillouin Random number Generator

Abstract

We propose a model of binary random number generator (RNG) based on a Brillouin optomechanical system. The device uses a hard excitation mode in a Brillouin optomechanical system, where thermal noise induces spontaneous transitions between two stable states in the hard excitation mode. We demonstrate the existence of an amplitude criterion for observing these transitions and show that the probability distribution of their occurrence in the non-generating and generating states can be precisely controlled by the amplitude of an external pump wave. At the same time, the use of a low-intensity seed wave allows for the control of the transition times between states. We demonstrate that the proposed random number generator successfully passes the standard tests NIST SP 800-22. The obtained result opens a way for development of an all-optical integrated True RNG, generating a sequence of random bits with equal probability.

Figures (8)

• Figure 1: Scheme of the system under consideration.
• Figure 2: Time dependence of the amplitude of the first optical mode (a), the probability density function (PDF) (b) and the cumulative distribution function (c). Here ${\gamma _1} = {\gamma _2} = 2\pi \cdot 191$ MHz, ${\gamma _b} = 2\pi \cdot 1.2$ GHz, $\delta {\omega _{\,1}} = 2\pi \cdot 1.58$ GHz , $\delta {\omega _2} = -2\pi \cdot 10.59$ GHz , ${\omega _b} = 2 \pi \cdot 12.17$ GHz, $g = 2\pi \cdot 15.9$ MHz , $\Omega_1 = 7.83 \cdot 10^{-1} \Omega_{th}$ and $\bar{n} = 513$.
• Figure 3: (a) The dependence of the probabilities of being in the non-generating state, $p_{ng}$, (the blue line) and the generating state, $p_{g}$ (the red line). (b) The dependence of the average lifetimes of the non-generating (the blue line) and the generating (the red line) states on the pump amplitude $\Omega_1$ (a). The parameters are the same as in Figure \ref{['fig:2']}.
• Figure 4: The dependence of the probabilities of being in the non-generating state, $p_{ng}$, (a) and the generating state, $p_{g}$, (b) on the pump amplitude $\Omega_{1}$ and $\Omega_2$. The parameters are the same as in Figure \ref{['fig:2']}.
• Figure 5: The dependence of the average lifetimes of the non-generating state, $\tau_{ng}$, (a) and the generating, $\tau_{g}$, (b) on the pump amplitude $\Omega_{1}$ and $\Omega_2$. The parameters are the same as in Figure \ref{['fig:2']}.