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Brownian computers utilize thermal fluctuations as a resource for computation and hold promise for achieving ultra-low-energy computations. However, the lack of a statistical direction in Brownian motion necessitates the incorporation of…

Statistical Mechanics · Physics 2025-12-23 Sho Nakade , Ferdinand Peper , Kazuki Kanki , Tomio Petrosky

Spins and oscillators are foundational to much of physics and applied sciences. For quantum information, a spin 1/2 exemplifies the most basic unit, a qubit. High angular momentum spins (HAMSs) and harmonic oscillators provide multi-level…

The logistic two-gene negative-feedback oscillator is locally asymptotically stable for all biological parameter values, since the trace of the Jacobian is uniformly negative. Real biological oscillators (circadian rhythms, the segmentation…

Dynamical Systems · Mathematics 2026-05-25 Ismail Belgacem

Local bifurcation control is a topic of fundamental importance in the field of nonlinear dynamical systems. We discuss an original example within the context of storage-ring free-electron laser physics by presenting a new model that enables…

Optics · Physics 2008-11-26 Giovanni De Ninno , Duccio Fanelli

The ability to engineer nonreciprocal interactions is an essential tool in modern communication technology as well as a powerful resource for building quantum networks. Aside from large reverse isolation, a nonreciprocal device suitable for…

Quantum Physics · Physics 2017-07-12 G. A. Peterson , F. Lecocq , K. Cicak , R. W. Simmonds , J. Aumentado , J. D. Teufel

Optomechanical coupling between a mechanical oscillator and light trapped in a cavity increases when the coupling takes place in a reduced volume. Here we demonstrate a GaAs semiconductor optomechanical disk system where both optical and…

Cavity-enhanced radiation-pressure coupling of optical and mechanical degrees of freedom gives rise to a range of optomechanical phenomena, in particular providing a route to the quantum regime of mesoscopic mechanical oscillators. A prime…

Quantum Physics · Physics 2008-07-18 G. Anetsberger , R. Rivière , A. Schliesser , O. Arcizet , T. J. Kippenberg

To date, micro- and nano-scale optomechanical systems have enabled many proof-of-principle quantum operations through access to high-frequency (GHz) phonon modes that are readily cooled to their thermal ground state. However, minuscule…

The maximum amplitude of mechanical oscillators coupled to optical cavities are studied both analytically and numerically. The optical backaction on the resonator enables self-sustained oscillations whose limit cycle is set by the dynamic…

Optics · Physics 2013-10-23 M. Poot , K. Y. Fong , M. Bagheri , W. H. P. Pernice , H. X. Tang

Hydrodynamic instabilities often cause spatio-temporal pattern formations and transitions between them. We investigate a model experimental system, a density oscillator, where the bifurcation from a resting state to an oscillatory state is…

Pattern Formation and Solitons · Physics 2020-02-26 Hiroaki Ito , Taisuke Itasaka , Nana Takeda , Hiroyuki Kitahata

When a driven oscillator loses phase-locking to a master oscillator via a Hopf bifurcation, it enters a bounded-phase regime in which its average frequency is still equal to the master frequency, but its phase displays temporal…

Optics · Physics 2014-04-24 Marco Romanelli , Lihua Wang , Marc Brunel , Marc Vallet

Autonomous sustained oscillations are ubiquitous in living and nonliving systems. As open systems, far from thermodynamic equilibrium, they defy entropic laws which mandate convergence to stationarity. We present structural conditions on…

Dynamical Systems · Mathematics 2020-01-07 Bernold Fiedler

Reservoir computing - information processing based on untrained recurrent neural networks with random connections - is expected to depend on the nonlinear properties of the neurons and the resulting oscillatory, chaotic, or fixpoint…

Neural and Evolutionary Computing · Computer Science 2024-11-18 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

Optomechanical systems combine extreme sensitivity and bandwidth in the control of mechanical motion, of interest for various applications. Integrated on a chip, actuated and detected all-optically by a single laser, they could disrupt…

Realizing the promise of quantum information processing remains a daunting task, given the omnipresence of noise and error. Adapting noise-resilient classical computing modalities to quantum mechanics may be a viable path towards near-term…

Quantum Physics · Physics 2021-02-03 L. C. G. Govia , G. J. Ribeill , G. E. Rowlands , H. K. Krovi , T. A. Ohki

Utilizing a silicon nanobeam optomechanical crystal, we investigate the attractor diagram arising from the radiation pressure interaction between a localized optical cavity at $\lambda = 1552$nm and a mechanical resonance at $\omega/2\pi =…

We study coherent phonon oscillations and tunneling between two coupled nonlinear nanomechanical resonators. We show that the coupling between two nanomechanical resonators creates an effective phonon Josephson junction which exhibits two…

Quantum Physics · Physics 2016-04-20 Shabir Barzanjeh , David Vitali

Manifesting across all time, mass and length scales, nonlinearities lie at the core of numerous physical phenomena. Next-generation quantum applications, such as quantum sensing, require the combination of nonlinearity with non-classical…

Quantum Physics · Physics 2026-03-12 Shivangi Dhiman , K. Rubenbauer , T. Luschmann , A. Marx , A. Metelmann , H. Huebl

Observation of the Brownian motion of a small probe interacting with its environment is one of the main strategies to characterize soft matter. Essentially two counteracting forces govern the motion of the Brownian particle. First, the…

Soft Condensed Matter · Physics 2011-08-18 Thomas Franosch , Matthias Grimm , Maxim Belushkin , Flavio Mor , Giuseppe Foffi , László Forró , Sylvia Jeney

High-quality frequency references are the cornerstones in position, navigation and timing applications of both scientific and commercial domains. Optomechanical oscillators, with direct coupling to continuous-wave light and…