Truly random number generator based on turbulent electroconvection

Gleeson, J. T.

doi:10.1063/1.1507362

Cited by 39 publications

(19 citation statements)

References 2 publications

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“…Further increasing the strength of the driving laser, chaotic motion emerges both in the optical and mechanical modes requiring no external feedback or modulation [13][14][15][16]. It is useful for generating random numbers [18] and implementing secret information processing [19][20][21]. However, to apply chaos into the secret communication scheme requiring low-power optical interconnects, the chaos threshold should be reduced dramatically [22,23].…”

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confidence: 99%

PT-Symmetry-Breaking Chaos in Optomechanics

et al. 2015

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We demonstrate a PT -symmetry-breaking chaos in optomechanical system (OMS), which features an ultralow driving threshold. In principle, this chaos will emerge once a driving laser is applied to the cavity mode and lasts for a period of time. The driving strength is inversely proportional to the starting time of chaos. This originally comes from the dynamical enhancement of nonlinearity by field localization in PT -symmetry-breaking phase (PT BP). Moreover, this chaos is switchable by tuning the system parameters so that a PT -symmetry phase transition occurs. This work may fundamentally broaden the regimes of cavity optomechanics and nonlinear optics. It offers the prospect of exploring ultralow-power-laser triggered chaos and its potential applications in secret communication.PACS numbers: 07.10.Cm Cavity optomechanics is a rapidly developing research field exploring the radiation-pressure interaction between the electromagnetic and mechanical systems [1]. Thanks to this nonlinear interaction, the optomechanical system (OMS) provides an alternative platform for implementing many interesting quantum [2][3][4][5][6][7][8] and classical [9-17] nonlinearity phenomena. In particular, one can strong driving the cavity so that the OMS enters into a regime of self-induced oscillations [9][10][11][12], where the backaction-induced mechanical gain overcomes mechanical loss. Further increasing the strength of the driving laser, chaotic motion emerges both in the optical and mechanical modes requiring no external feedback or modulation [13][14][15][16]. It is useful for generating random numbers [18] and implementing secret information processing [19][20][21]. However, to apply chaos into the secret communication scheme requiring low-power optical interconnects, the chaos threshold should be reduced dramatically [22,23].The notion of parity-time (PT ) symmetry, initially proposed in quantum mechanics [24], attracts recently enormous attention in the field of optics [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. It is known [24] that PT symmetric Hamiltonians can exhibit a real eigenvalue spectrum in spite of the fact that they can be non-Hermitian. These systems have the interesting property to undergo an abrupt phase-transition where the system loses its PT-symmetry. At the exceptional point (EP) pairs of eigenvalues collide and become complex. Typically, the transition between PT symmetric phase (real spectrum) to spontaneously broken PT symmetry (complex spectrum) occurs as a parameter in the Hamiltonian (which somehow controls the degree of non-Hermiticity) is varied [25][26][27]. This phase transition has been demonstrated in synthetic waveguides and microcavities, and can induce unique optical phenomena including loss-induced transparency [28], power oscillations violating left-right symmetry [29], low-power optical diodes [35] and single-mode laser [36,37]. A natural question is whether it could influence the chaos dynamics (especially the chaos threshold) significantly. Moreover, the crossover b...

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confidence: 99%

PT-Symmetry-Breaking Chaos in Optomechanics

et al. 2015

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“…We note that ran device is a newly-published hardware-type generator utilizing a chaotic physical process, and can be classified as a truly random number generator. 36 One can see that π as a random number generator performs better than ran device in all studied cases. Tables 5 and 6 present the results for the combination-type generators obtained by mixing π and other RNGs.…”

Section: Resultsmentioning

confidence: 87%

A Study on the Randomness of the Digits of Π

Fischbach

2005

Int. J. Mod. Phys. C

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We apply a newly-developed computational method, Geometric Random Inner Products (GRIP), to quantify the randomness of number sequences obtained from the decimal digits of π. Several members from the GRIP family of tests are used, and the results from π are compared to those calculated from other random number generators. These include a recent hardware generator based on an actual physical process, turbulent electroconvection. We find that the decimal digits of π are in fact good candidates for random number generators and can be used for practical scientific and engineering computations.

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“…However, there is considerable interest in generating high-speed chaos because of promising applications such as random signal radar/lidar, [2][3][4][5] random number generation, [6][7][8] and communications. [9][10][11][12][13][14] Generating broadband chaotic signals in the radiofrequency ͑rf͒ regime is challenging because electronic components used in low-speed electronic circuits, such as operational amplifiers, are not readily available above a few GHz.…”

Section: Introductionmentioning

confidence: 99%

Ultra-high-frequency chaos in a time-delay electronic device with band-limited feedback

Illing

Gauthier

2006

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We report an experimental study of ultra-high-frequency chaotic dynamics generated in a delay-dynamical electronic device. It consists of a transistor-based nonlinearity, commercially-available amplifiers, and a transmission-line for feedback. The feedback is band-limited, allowing tuning of the characteristic time-scales of both the periodic and high-dimensional chaotic oscillations that can be generated with the device. As an example, periodic oscillations ranging from 48 to 913 MHz are demonstrated. We develop a model and use it to compare the experimentally observed Hopf bifurcation of the steady-state to existing theory [Illing and Gauthier, Physica D 210, 180 (2005)]. We find good quantitative agreement of the predicted and the measured bifurcation threshold, bifurcation type and oscillation frequency. Numerical integration of the model yields quasiperiodic and high dimensional chaotic solutions (Lyapunov dimension approximately 13), which match qualitatively the observed device dynamics.

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Truly random number generator based on turbulent electroconvection

Cited by 39 publications

References 2 publications

PT-Symmetry-Breaking Chaos in Optomechanics

PT-Symmetry-Breaking Chaos in Optomechanics

A Study on the Randomness of the Digits of Π

Ultra-high-frequency chaos in a time-delay electronic device with band-limited feedback

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