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We theoretically and experimentally examine the effect of forcing and damping on systems that can be described by the nonlinear Schr\"odinger equation (NLSE), by making use of the phase-space predictions of the three-wave truncation of the…

Pattern Formation and Solitons · Physics 2020-05-11 D. Eeltink , A. Armaroli , C. Luneau , M. Brunetti , H. Branger , J. Kasparian

Nonlinear dynamical systems possessing reflection symmetry have an invariant subspace in the phase space. The dynamics within the invariant subspace can be random or chaotic. As a system parameter changes, the motion transverse to the…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

The next-generation of cryogenic neutrinoless double-beta decay experiments require increasingly fast readout in order to improve background discrimination. These experiments, operated as cryogenic calorimeters at $\sim$10 mK, are usually…

Standard Quantum Limit (SQL) of a classical mechanical force detection results from quantum back action perturbing evolution of a mechanical system. In this paper we show that usage of a multidimensional optical transducer may enable a…

Quantum Physics · Physics 2022-11-23 Sergey P. Vyatchanin , Albert I. Nazmiev , Andrey B. Matsko

We measure frequency- and dissipation-quadrature noise in superconducting lithographed microwave resonators with sensitivity near the vacuum noise level using a Josephson parametric amplifier. At an excitation power of 100~nW, these…

We consider a setting, where the output of a linear dynamical system (LDS) is, with an unknown but fixed probability, replaced by noise. There, we present a robust method for the prediction of the outputs of the LDS and identification of…

Machine Learning · Computer Science 2018-08-06 Jakub Marecek , Tigran Tchrakian

Compressed sensing deals with efficient recovery of analog signals from linear encodings. This paper presents a statistical study of compressed sensing by modeling the input signal as an i.i.d. process with known distribution. Three classes…

Information Theory · Computer Science 2012-07-12 Yihong Wu , Sergio Verdú

Self-sustained oscillators are ubiquitous and essential for metrology, communications, time reference, and geolocation. In its most basic form an oscillator consists of a resonator driven on-resonance, through feedback, to create a periodic…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 L. G. Villanueva , E. Kenig , R. B. Karabalin , M. H. Matheny , R. Lifshitz , M. C. Cross , M. L. Roukes

We propose an interferometry technique, by using electromagnetically induced transparency phenomena, for measuring classical force. The classical force is estimated by measuring the phase at the output of the interferometer. The proposed…

Quantum Physics · Physics 2018-10-10 Sankar Davuluri , Yong Li

Time-reversal symmetry breaking (TRSB) has been central to detecting exotic phases of matter. Here, we leverage the circuit electrodynamics capabilities of superconducting devices to propose a novel scheme based on a multimode…

Mechanical resonators based on a single carbon nanotube are exceptional sensors of mass and force. The force sensitivity in these ultra-light resonators is often limited by the noise in the detection of the vibrations. Here, we report on an…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 S. L. de Bonis , C. Urgell , W. Yang , C. Samanta , A. Noury , J. Vergara-Cruz , Q. Dong , Y. Jin , A. Bachtold

High voltage power transformers are one of the most critical equipments in the electric power grid. A sudden failure of a power transformer can significantly disrupt bulk power delivery. Before a transformer reaches its critical failure…

Signal Processing · Electrical Eng. & Systems 2018-10-24 Kaustav Basu , Malhar Padhee , Sohini Roy , Anamitra Pal , Arunabha Sen , Matthew Rhodes , Brian Keel

The leading workhorse of anomaly (and attack) detection in the literature has been residual-based detectors, where the residual is the discrepancy between the observed output provided by the sensors (inclusive of any tampering along the…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Navid Hashemi , Eduardo Verdugo German , Jonatan Pena Ramirez , Justin Ruths

When strongly pumped at twice their resonant frequency, non-linear resonators develop a high-amplitude intracavity field, a phenomenon known as parametric self-oscillations. The boundary over which this instability occurs can be extremely…

The problem of testing whether a signal lies within a given subspace, also named matched subspace detection, has been well studied when the signal is represented as a vector. However, the matched subspace detection methods based on vectors…

Numerical Analysis · Computer Science 2018-04-24 Cuiping Li , Xiao-Yang Liu , Yue Sun

It is by now established that, remarkably, the addition of noise to a nonlinear system may sometimes facilitate, rather than hamper the detection of weak signals. This phenomenon, usually referred to as stochastic resonance, was originally…

Condensed Matter · Physics 2009-10-31 Redouane Fakir

We propose to continuously monitor a charge qubit by utilizing a T-shaped double quantum dot detector, in which the qubit and double dot are arranged in such a unique way that the detector turns out to be particularly susceptible to the…

Mesoscale and Nanoscale Physics · Physics 2015-01-16 JunYan Luo , HuJun Jiao , Jing Hu , Xiao-Ling He , XiaoLi Lang , Shi-Kuan Wang

We show that resonance phenomena can be treated as nonequilibrium phase transitions. Resonance phenomena, similar to equilibrium phase transitions, are accompanied by some kind of symmetry breaking and can be characterized by order…

Mesoscale and Nanoscale Physics · Physics 2018-02-16 V. I. Yukalov , E. P. Yukalova

Residual noise photons in a readout resonator become a major source of dephasing for a superconducting qubit when the resonator is optimized for a fast, high-fidelity dispersive readout. Here, we propose and demonstrate a nonlinear Purcell…

The force sensor is key to the performance of atomic force microscopy (AFM). Nowadays, most AFMs use micro-machined force sensors made from silicon, but piezoelectric quartz sensors are applied at an increasing rate, mainly in vacuum. These…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Franz J. Giessibl , Florian Pielmeier , Toyoaki Eguchi , Toshu An , Yukio Hasegawa