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We derive an inequality relating the finite-frequency linear response and fluctuations of an observable in a physical system. The relation holds for arbitrary observables and perturbations in general Markovian dynamics, including over- and…

统计力学 · 物理学 2025-10-20 Andreas Dechant

A geometric approach is introduced for understanding the phenomenon of phase synchronization in coupled nonlinear systems in the presence of additive noise. We show that the emergence of cooperative behaviour through a change of stability…

适应与自组织系统 · 物理学 2009-11-11 J. Balakrishnan

The accumulation of quantum phase in response to a signal is the central mechanism of quantum sensing, as such, loss of phase information presents a fundamental limitation. For this reason approaches to extend quantum coherence in the…

Quantum-phase-estimation algorithms are critical subroutines in many applications for quantum computers and in quantum-metrology protocols. These algorithms estimate the unknown strength of a unitary evolution. By using coherence or…

量子物理 · 物理学 2023-03-06 Joseph G. Smith , Crispin H. W. Barnes , David R. M. Arvidsson-Shukur

Synchronization of many coupled oscillators is widely found in nature and has the potential to revolutionize timing technologies. Here we demonstrate synchronization in arrays of silicon nitride micromechanical oscillators coupled purely…

介观与纳米尺度物理 · 物理学 2015-10-21 Mian Zhang , Shreyas Shah , Jaime Cardenas , Michal Lipson

The paper introduces novel methodologies for the identification of coefficients of switched autoregressive and switched autoregressive exogenous linear models. We consider cases which system's outputs are contaminated by possibly large…

系统与控制 · 电气工程与系统科学 2019-09-02 Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

In this paper we focus on the problem of estimating the directions of arrival (DOA) of a set of incident plane waves. Unlike many previous works, which assume that the received observations are only affected by additive noise, we consider…

信息论 · 计算机科学 2017-01-10 Angélique Drémeau , Cédric Herzet

Second generation quantum technologies aim to outperform classical alternatives by utilizing engineered quantum systems. Maintaining the coherence required to enable any quantum advantage requires detailed knowledge and control over the…

量子物理 · 物理学 2024-05-30 Robert Freund , Christian D. Marciniak , Thomas Monz

We analyse the effect of synchronization between noise and periodic signal in a two-state spatially extended system analytically. Resonance features are demonstrated. To have the maximum cooperation between signal and noise, it is shown…

统计力学 · 物理学 2007-05-23 Asish K. Dhara , S. R. Banerjee

In this paper, we propose a filtering algorithm for simultaneously estimating the mode, input and state of hidden mode switched linear stochastic systems with unknown inputs. Using a multiple-model approach with a bank of linear input and…

最优化与控制 · 数学 2016-06-28 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

We study the noise effects in a driven system of globally coupled oscillators, with particular attention to the interplay between driving and noise. The self-consistency equation for the order parameter, which measures the collective…

统计力学 · 物理学 2009-10-31 H. Hong , M. Y. Choi , K. Park , B. -G. Yoon , K. -S. Soh

We find a phase matching condition for enhancement of sensitivity in a Mach-Zehnder interferometer illuminated by an arbitrary state in one input port and an odd(even) state in the other port. Under this condition, the Fisher information…

量子物理 · 物理学 2013-10-17 Jing Liu , Xiaoxing Jing , Xiaoguang Wang

Experimental realization and quantitative investigation of common-noise-induced synchronization of limit-cycle oscillations subject to random telegraph signals are performed using an electronic oscillator circuit. Based on our previous…

适应与自组织系统 · 物理学 2009-04-17 Ken Nagai , Hiroya Nakao

The use of distributed amplifiers may have some potential advantages for the transmission of quantum information through optical fibers. In addition to the quantum noise introduced by the amplifiers, entanglement between atoms in the…

量子物理 · 物理学 2015-11-26 J. D. Franson , B. T. Kirby

We study the simultaneous estimation of multiple phases as a discretised model for the imaging of a phase object. We identify quantum probe states that provide an enhancement compared to the best quantum scheme for the estimation of each…

量子物理 · 物理学 2013-09-10 Peter C. Humphreys , Marco Barbieri , Animesh Datta , Ian A. Walmsley

We show how frequency fluctuations of a vibrational mode can be separated from other sources of phase noise. The method is based on the analysis of the time dependence of the complex amplitude of forced vibrations. The moments of the…

介观与纳米尺度物理 · 物理学 2015-06-03 Z. A. Maizelis , M. L. Roukes , M. I. Dykman

Context: Several approaches to estimate frequency, phase and amplitude errors in time series analyses were reported in the literature, but they are either time consuming to compute, grossly overestimating the error, or are based on…

天体物理学 · 物理学 2009-11-13 T. Kallinger , P. Reegen , W. W. Weiss

The metrological ability of carefully designed probes can be spoilt by the presence of noisy processes occurring during their evolution. The noise is responsible for altering the evolution of the probes in such a way that bear little or no…

Numerical and experimental evidence is presented to show that many phase synchronized systems of non-identical chaotic oscillators, where the chaotic state is reached through a period-doubling cascade, show rapid convergence of the…

统计力学 · 物理学 2009-11-10 Jörn Davidsen , István Z. Kiss , John L. Hudson , Raymond Kapral

This paper deals with the parametric inference for integrated signals embedded in an additive Gaussian noise and observed at deterministic discrete instants which are not necessarily equidistant. The unknown parameter is multidimensional…

统计理论 · 数学 2019-03-18 Dominique Dehay , Khalil El Waled , Vincent Monsan
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