Highly Sensitive Implementation of Logic Gates with a Nonlinear Nanomechanical Resonator

Tadokoro, Yukihiro; Tanaka, Hiroya

doi:10.1103/physrevapplied.15.024058

Cited by 17 publications

(7 citation statements)

References 48 publications

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“…We show that input bits can be coupled into the gate with 99% efficiency, and can drive transitions between two bistable states [29,30]. This enables a new approach to nanomechanical computing [31], for which we demonstrate a universal set of purely mechanical logic operations. Importantly -and unlike previous approaches [25][26][27] -the output bits have the same frequency as the inputs and are therefore compatible with downstream gates.…”

Section: Introductionmentioning

confidence: 91%

“…1 b). It has been suggested recently that this transition can be exploited for nanomechanical logic [31], with the major advantage that the input and output bits have near identical spatiotemporal properties so that the output of one gate can be used as the input for the next. We follow this approach here, defining the low and high amplitude states, respectively, as the logical '0' and '1' states.…”

Section: Architecturementioning

confidence: 99%

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Scalable nanomechanical logic gate

Romero¹,

Mauranyapin²,

Hirsch³

et al. 2022

Preprint

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Nanomechanical computers promise robust, low energy information processing. However, to date, electronics have generally been required to interconnect gates, while no scalable, purely nanomechanical approach to computing has been achieved. Here, we demonstrate a nanomechanical logic gate in a scalable architecture. Our gate uses the bistability of a nonlinear mechanical resonator to define logical states. These states are efficiently coupled into and out of the gate via nanomechanical waveguides, which provide the mechanical equivalent of electrical wires. Crucially, the input and output states share the same spatiotemporal characteristics, so that the output of one gate can serve as the input for the next. Our architecture is CMOS compatible, while realistic miniaturisation could allow both gigahertz frequencies and an energy cost that approaches the fundamental Landauer limit. Together this presents a pathway towards large-scale nanomechanical computers, as well as neuromorphic networks able to simulate computationally hard problems and interacting many-body systems.

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Section: Introductionmentioning

confidence: 91%

Section: Architecturementioning

confidence: 99%

Scalable nanomechanical logic gate

Romero¹,

Mauranyapin²,

Hirsch³

et al. 2022

Preprint

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“…It is the phenomenon of bistability in the presence of finite carrying capacity. The bistability is an omnipresent feature of many physical, chemical, and biological systems; there is a lot of current interest in its presence in the phenomena witnessed in quantum [61][62][63], thermal [64][65][66], electrical [67], optical [68,69], and mechanical [70][71][72][73] systems. Consequently, it is exciting to find the bistability in an eco-evolutionary dynamical scenario and that too resulting in counterintuitive conclusions: e.g., the bistability makes it possible to sustain cooperation-and hence to avert the TOC-in the finite population even when every individual faces the prisoner's dilemma.…”

Section: The Mechanismmentioning

confidence: 99%

Game-environment feedback dynamics in growing population: Effect of finite carrying capacity

Bairagya,

Mondal,

Chowdhury

et al. 2021

Preprint

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The tragedy of the commons (TOC) is an unfortunate situation where a shared resource is exhausted due to uncontrolled exploitation by the selfish individuals of a population. Recently, the paradigmatic replicator equation has been used in conjunction with a phenomenological equation for the state of the shared resource to gain insight into the influence of the games on the TOC. The replicator equation, by construction, models a fixed infinite population undergoing microevolution. Thus, it is unable to capture any effect of the population growth and the carrying capacity of the population although the TOC is expected to be dependent on the size of the population. Therefore, in this paper, we present a mathematical framework that incorporates the density dependent payoffs and the logistic growth of the population in the eco-evolutionary dynamics modelling the game-resource feedback. We discover a bistability in the dynamics: a finite carrying capacity can either avert or cause the TOC depending on the initial states of the resource and the initial fraction of cooperators. In fact, depending on the type of strategic game-theoretic interaction, a finite carrying capacity can either avert or cause the TOC when it is exactly the opposite for the corresponding case with infinite carrying capacity.

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“…Nanomechanical systems lie in a playground where the linear behavior is an exception [1,2]. Nonlinearities give rise to interesting phenomena which have the potential to be valorized into innovative nanomechanical sensors and novel detection schemes [3][4][5][6]. Engineering of nonlinearities specifically find applications in detection of weak forces [7,8], employed in signal amplification and noise-squeezing effect [9,10], phase-sensitive mechanical amplifiers to leverage the sensitivity in mass measurement [11,12].…”

Section: Introductionmentioning

confidence: 99%