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The correlation of phase fluctuations in any type of oscillator fundamentally defines its spectral shape. However, in nonlinear oscillators, such as spin torque nano oscillators, the frequency spectrum can become particularly complex. This…

In the absence of synaptic coupling, two or more neural oscillators may become synchronized by virtue of the statistical correlations in their noisy input streams. Recent work has shown that the degree of correlation transfer from input…

Dynamical Systems · Mathematics 2015-03-17 Aushra Abouzeid , Bard Ermentrout

Following the long-lived qualitative-dynamics tradition of explaining behavior in complex systems via the architecture of their attractors and basins, we investigate the patterns of switching between qualitatively distinct trajectories in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-02 Jeffrey Emenheiser , Airlie Chapman , Márton Pósfai , James P. Crutchfield , Mehran Mesbahi , Raissa M. D'Souza

We employ the circular cumulant approach to construct a low dimensional description of the macroscopic dynamics of populations of phase oscillators (elements) subject to non-Gaussian white noise. Two-cumulant reduction equations for…

Adaptation and Self-Organizing Systems · Physics 2023-11-09 Anastasiya V. Dolmatova , Irina V. Tyulkina , Denis S. Goldobin

Non-ideal oscillators both at the transmitter and the receiver introduces time varying phase noise which interacts with the transmitted data in a non-linear fashion. Phase noise becomes a detrimental problem and needs to be estimated and…

Information Theory · Computer Science 2012-10-24 Arif Onder Isikman , Hani Mehrpouyan , Alexandre Graell i Amat

Based on the principles of microwave circuit interferometry we have constructed a Reduced Noise Amplifier (RNA) with power spectral density of phase, as well as amplitude, fluctuations close to -170 dBc/Hz at 1 kHz offset. The RNA has been…

Instrumentation and Detectors · Physics 2020-03-23 Eugene N. Ivanov , Michael E. Tobar

Teaching by direct models in science has been weakening the learning process of the students, because the real problems in engineering are not solved by direct models instead commonly they are solved by inverse models. On the other hand,…

Physics Education · Physics 2019-08-09 K. L. Cristiano , D. A. Triana , R. Ortiz , A. F. Estupiñán

Nanomechanical resonators can serve as high performance detectors and have potential to be widely used in the industry for a variety of applications. Most nanomechanical sensing applications rely on detecting changes of resonance frequency.…

Instrumentation and Detectors · Physics 2023-09-22 Hajrudin Bešić , Alper Demir , Johannes Steurer , Niklas Luhmann , Silvan Schmid

High-gain microwave amplifiers operating near quantum limit are crucial for development of quantum technology. However, a systematic theoretical modeling and simulations of their performance represent rather challenging tasks due to the…

Statistical Mechanics · Physics 2022-07-01 Artem Ryabov , Martin Žonda , Tomáš Novotný

The main limitation in order to exploit spin torque nano-oscillators (STNOs) in various potential applications is their large phase noise. In this work, we demonstrate its efficient reduction by a highly reconfigurable, compact,…

High-frequency mechanical oscillators with long coherence times are essential to realizing a variety of high-fidelity quantum sensors, transducers, and memories. However, the unprecedented coherence times needed for quantum applications…

We present a way of measuring with high precision the anharmonicity of a quantum oscillator coupled to an optical field via radiation pressure. Our protocol uses a sequence of pulsed interactions to perform a loop in the phase space of the…

Quantum Physics · Physics 2016-05-05 Ludovico Latmiral , Federico Armata , Marco G. Genoni , Igor Pikovski , M. S. Kim

For noisy self-sustained oscillators, both reliability, stability of a response to a noisy driving, and coherence understood in the sense of constancy of oscillation frequency belong to the main characteristics. Though the both…

Statistical Mechanics · Physics 2010-07-27 Denis S. Goldobin

We propose a generalisation of dispersive qubit readout which provides the time evolution of a flux qubit observable. Our proposal relies on the non-linear coupling of the qubit to a harmonic oscillator with high frequency, representing a…

Superconductivity · Physics 2011-09-15 Georg M. Reuther , David Zueco , Peter Hänggi , Sigmund Kohler

This paper addresses the amplitude and phase dynamics of a large system non-linear coupled, non-identical damped harmonic oscillators, which is based on recent research in coupled oscillation in optomechanics. Our goal is to investigate the…

Chaotic Dynamics · Physics 2015-06-23 P. Cudmore , C. A. Holmes

We introduce a new approach to deriving approximate analytical solutions of a harmonic oscillator damped by purely nonlinear, or combinations of linear and nonlinear damping forces. Our approach is based on choosing a suitable trial…

Classical Physics · Physics 2025-12-30 Karlo Lelas , Robert Pezer

We study the effect of additive Brownian noise on an ODE system that has a stable hyperbolic limit cycle, for initial data that are attracted to the limit cycle. The analysis is performed in the limit of small noise - that is, we modulate…

Probability · Mathematics 2016-01-19 Giambattista Giacomin , Christophe Poquet , Assaf Shapira

Non-conventional receivers for phase-coherent states based on non-Gaussian measurements such as photon counting surpass the sensitivity limits of shot-noise-limited coherent receivers, the quantum noise limit (QNL). These non-Gaussian…

Quantum Physics · Physics 2020-07-07 M. T. DiMario , F. E. Becerra

We present a quantum field theoretic formulation of acoustoelectric interactions in waveguide-like systems of arbitrary cross-section. Building on an open quantum systems approach, we derive a unified description of plasmon-phonon coupling…

The noise dynamics of an Optical Frequency Comb (OFC) based on a mode-locked Ti-Sapphire laser is analyzed in terms of noise modes. A spectrally resolved multipixel homodyne detection enables the simultaneous measurement of the amplitude…

Instrumentation and Detectors · Physics 2021-08-04 Matthieu Ansquer , Valérian Thiel , Syamsundar De , Bérengère Argence , Gregory Gredat , Fabien Bretenaker , Nicolas Treps