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To understand the sample-to-sample fluctuations in disorder-generated multifractal patterns we investigate analytically as well as numerically the statistics of high values of the simplest model - the ideal periodic $1/f$ Gaussian noise. By…

Statistical Mechanics · Physics 2015-06-05 Yan V. Fyodorov , Pierre Le Doussal , Alberto Rosso

Simple analytically solvable models are proposed exhibiting 1/f spectrum in wide range of frequency. The signals of the models consist of pulses (point process) which interevent times fluctuate about some average value, obeying an…

Statistical Mechanics · Physics 2007-05-23 B. Kaulakys , T. Meskauskas

Low-frequency 1/f-noise occurs at all levels of the nature organization and became an actual factor of nanotechnologies, but in essence it remains misunderstood by its investigators. Here, once again it is pointed out that such the state of…

Statistical Mechanics · Physics 2015-10-28 Yu. E. Kuzovlev

We consider a class of multi-qubit dephasing models that combine classical noise sources and linear coupling to a bosonic environment, and are controlled by arbitrary sequences of dynamical decoupling pulses. Building on a general transfer…

Quantum Physics · Physics 2016-08-03 Gerardo A. Paz-Silva , Seung-Woo Lee , Todd J. Green , Lorenza Viola

We present a quantum open-system approach to analyze the nonunitary dynamics of a superconducting qubit when it evolves under the influence of external noise. We consider the presence of longitudinal and transverse environmental…

Quantum Physics · Physics 2015-06-18 Fernando C. Lombardo , Paula I. Villar

Squeezed states and macroscopic superpositions of coherent states have been predicted to be generated dynamically in Bose Josephson junctions. We solve exactly the quantum dynamics of such a junction in the presence of a classical noise…

Quantum Physics · Physics 2013-05-29 G. Ferrini , D. Spehner , A. Minguzzi , F. W. J. Hekking

We propose a model of $1/f$ noise in semiconductors based on the drift of individual charge carriers and their interaction with the trapping centers. We assume that the trapping centers are homogeneously distributed in the material. The…

Probability · Mathematics 2024-11-07 Aleksejus Kononovicius , Bronislovas Kaulakys

Noise of stochastic processes whose power spectrum scales at low frequencies, $f$, as $1/f$ appears in such diverse systems that it is considered universal. However, there have been a small number of instances from completely unrelated…

Statistical Mechanics · Physics 2017-04-20 Sebastian A. Diaz , Massimiliano Di Ventra

We study a general model for non-gaussian $1/f$ noise based on an infinite range quantum Ising spin system in the paramagnetic state, or equivalently, interacting two-level classical fluctuators. We identify a dilatation interaction term in…

Condensed Matter · Physics 2009-11-07 A. K. Nguyen , S. M. Girvin

We investigate the generation of quantum operations for one-qubit systems under classical noise with 1/f^\alpha power spectrum, where 2>\alpha > 0. We present an efficient way to approximate the noise with a discrete multi-state Markovian…

We measure the dependence of qubit phase coherence and surface spin induced flux noise on inductor loop geometry. While wider inductor traces change neither the flux noise power spectrum nor the qubit dephasing time, increased inductance…

We calculate the energy decay rate of Josephson qubits and superconducting resonators from non-equilibrium quasiparticles. The decay rates from experiments are shown to be consistent with predictions based on a prior measurement of the…

Mesoscale and Nanoscale Physics · Physics 2009-08-06 John M. Martinis , M. Ansmann , J. Aumentado

We analyze data on the critical current and normal state resistance noise in Josephson junctions and argue that the noise in the critical current is due to a mechanism that is absent in the normal state. We estimate the noise produced by…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Lara Faoro , Lev B. Ioffe

A process tomography based optimization scheme for open quantum systems is used to determine the performance limits of Josephson charge qubits within current experimental means. The qubit is modeled microscopically as an open quantum system…

Superconductivity · Physics 2009-06-19 Robert Roloff , Walter Pötz

The dominant source of decoherence in contemporary frequency-tunable superconducting qubits is 1/$f$ flux noise. To understand its origin and find ways to minimize its impact, we systematically study flux noise amplitudes in more than 50…

The power law $1/f^{\alpha}$ in the power spectrum characterizes the fluctuating observables of many complex natural systems. Considering the energy levels of a quantum system as a discrete time series where the energy plays the role of…

Statistical Mechanics · Physics 2009-11-11 J. M. G. Gomez , A. Relano , J. Retamosa , E. Faleiro , L. Salasnich , M. Vranicar , M. Robnik

Quantum mechanics can strongly influence the noise properties of mesoscopic devices. To probe this effect we have measured the current fluctuations at high-frequency (5-90 GHz) using a superconductor-insulator-superconductor tunnel junction…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Deblock , E. Onac , L. Gurevich , L. P. Kouwenhoven

We simulate the granular flow in a narrow pipe with a lattice-gas automaton model. We find that the density in the system is characterized by two features. One is that spontaneous density waves propagate through the system with well-defined…

Condensed Matter · Physics 2009-10-22 Gongwen Peng , Hans J. Herrmann

Stochastic phenomena in which the noise amplitude is proportional to the fluctuating variable itself, usually called {\it multiplicative noise}, appear ubiquitously in physics, biology, economy and social sciences. The properties of…

Condensed Matter · Physics 2007-05-23 Miguel A. Munoz

The effect of external fluctuations on the formation of spatial patterns is analysed by means of a stochastic Swift-Hohenberg model with multiplicative space-correlated noise. Numerical simulations in two dimensions show a shift of the…

Condensed Matter · Physics 2009-10-28 J. Garcia-Ojalvo , J. M. Sancho