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Heavy-tailed stochastic gradient noise, commonly observed in transformer models, can destabilize the optimization process. Recent works mainly focus on developing and understanding approaches to address heavy-tailed noise in the centralized…

Machine Learning · Computer Science 2026-02-23 Junfei Sun , Dixi Yao , Xuchen Gong , Tahseen Rabbani , Manzil Zaheer , Tian Li

In contrast to the well-known phenomenon of frequency stabilization in a synchronized noisy nonlinear oscillator, little is known about its amplitude stability. In this paper, we investigate experimentally and theoretically the amplitude…

Applied Physics · Physics 2022-05-18 Martial Defoort , Sébastien Hentz , Steven W. Shaw , Oriel Shoshani

The shot noise of spin polarized electrons is shown to be generically dependent upon spin-flip processes. Such a situation represents perhaps the simplest instance where the two-particle character of current fluctuations out of equilibrium…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Lamacraft

We describe the measurement and modeling of amplitude noise and phase noise in ultra-high Q nanomechanical resonators made from stoichiometric silicon nitride. With quality factors exceeding 2 million, the resonators' noise performance is…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 King Y. Fong , Wolfram H. P. Pernice , Hong X. Tang

We study junctions between superconductors mediated by the edge states of a quantum spin Hall insulator. We show that such junctions exhibit a fractional Josephson effect, in which the current phase relation has a 4\pi, rather than a 2\pi…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane

The changes of the spin depolarization length in zinc-blende semiconductors when an external component of correlated noise is added to a static driving electric field are analyzed for different values of field strength, noise amplitude and…

Statistical Mechanics · Physics 2015-06-03 Stefano Spezia , Dominique Persano Adorno , Nicola Pizzolato , Bernardo Spagnolo

Noise within solid-state systems at low temperatures, where many of the degrees of freedom of the host material are frozen out, can typically be traced back to material defects that support low-energy excitations. These defects can take a…

Quantum Physics · Physics 2024-10-28 Mo Chen , John Clai Owens , Harald Putterman , Max Schäfer , Oskar Painter

We experimentally study the auto-oscillating spin-wave modes in NiFe/$\beta-$W constriction-based spin Hall nano-oscillators as a function of bias current, in-plane applied field strength, and azimuthal field angle, in the low-field range…

Laser phase noise remains a limiting factor in many experimental settings, including metrology, time-keeping, as well as quantum optics. Hitherto this issue was addressed at low frequencies, ranging from well below 1 Hz to maximally 100…

Optics · Physics 2021-03-31 Michał Parniak , Ivan Galinskiy , Timo Zwettler , Eugene S. Polzik

In this paper we present a theory that predicts the phase noise characteristics of self-sustained optomechanical oscillators. By treating the cavity optomechanical system as a feedback loop consisting of an optical cavity and a mechanical…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 King Yan Fong , Menno Poot , Xu Han , Hong X. Tang

Physiological networks are usually made of a large number of biological oscillators evolving on a multitude of different timescales. Phase oscillators are particularly useful in the modelling of the synchronization dynamics of such systems.…

Adaptation and Self-Organizing Systems · Physics 2026-01-27 Melvyn Tyloo

We study a shot noise of a wide channel gated high-frequency transistor at temperature of 4.2K near pinch-off. In this regime, a transition from the metallic to the insulating state is expected to occur, accompanied by the increase of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 V. S. Khrapai , D. V. Shovkun

Phase noise or frequency noise is a key metrics to evaluate the short term stability of a laser. This property is of a great interest for the applications but delicate to characterize, especially for narrow line-width lasers. In this…

We address the use of optical parametric oscillator (OPO) to counteract phase-noise in quantum optical communication channels, and demonstrate reduction of phase diffusion for coherent signals travelling through a suitably tuned OPO. In…

Quantum Physics · Physics 2020-04-29 Simone Cialdi , Edoardo Suerra , Stefano Olivares , Stefano Capra , Matteo G. A. Paris

We study the influence of telegraph noise on synchrony of limit cycle oscillators. Adopting the phase description for these oscillators, we derive the explicit expression for the Lyapunov exponent. We show that either for weak noise or…

Statistical Mechanics · Physics 2014-08-06 Denis S. Goldobin

We address the exploitation of an optical parametric oscillator (OPO) in the task of mitigating, at least partially, phase noise produced by phase diffusion. In particular, we analyze two scenarios where phase diffusion is typically…

In this work we study the effect of oscillator phase noise on the uplink performance of a massive multiple-input multiple output system. Specifically, we consider an orthogonal frequency division multiplexing-based uplink transmission and…

Information Theory · Computer Science 2014-05-06 Rajet Krishnan , M. Reza Khanzadi , N. Krishnan , A. Graell i Amat , T. Eriksson , N. Mazzali , G. Colavolpe

For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that with certain modifications our method of…

Adaptation and Self-Organizing Systems · Physics 2010-02-24 Georgi S. Medvedev

We study the frequency and phase synchronization in two coupled identical and nonidentical neurons with channel noise. The occupation number method is used to model the neurons in the context of stochastic Hodgkin-Huxley model in which the…

Neurons and Cognition · Quantitative Biology 2007-11-07 L. C. Yu , Yong Chen , Pan Zhang

In this paper, we address the problem of optimizing signal constellations for strong phase noise. The problem is investigated by considering three optimization formulations, which provide an analytical framework for constellation design. In…

Information Theory · Computer Science 2016-11-15 Rajet Krishnan , Alexandre Graell i Amat , Thomas Eriksson , Giulio Colavolpe
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