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We consider the asymptotic behaviour of the fluctuation process for large stochastic systems of interacting particles driven by both idiosyncratic and common noise with an interaction kernel \(k \in L^2(\R^d) \cap L^\infty(\R^d)\). Our…

Probability · Mathematics 2026-05-28 Paul Nikolaev

We recently proposed that the general origin of 1/f fluctuation, or pink noise, is the amplitude modulation (or beat) of many waves with accumulating frequencies. In this paper, we verify this proposal in the electric current system. We use…

Statistical Mechanics · Physics 2025-08-18 Masahiro Morikawa , Akika Nakamichi

Mesoscopic systems -- small electric circuits working in quantum regime -- offer us a unique experimental stage to explorer quantum transport in a tunable and precise way. The purpose of this Review is to show how they can contribute to…

Mesoscale and Nanoscale Physics · Physics 2017-05-12 Kensuke Kobayashi

We compute the zero frequency current noise numerically and in several limits analytically for the coulomb blockade problem consisting of two tunnel junctions connected in series. At low temperatures over a wide range of voltages,…

We study the fluctuation statistics of integrated currents in noisy quantum diffusive systems, focusing on the Quantum Symmetric Simple Exclusion and Inclusion Processes (QSSEP/QSSIP). These one-dimensional fermionic (QSSEP) and bosonic…

Statistical Mechanics · Physics 2026-01-26 Mathias Albert , Denis Bernard , Tony Jin , Stefano Scopa , Shiyi Wei

Discrete charge fluctuations, routinely observed in semiconductor quantum dot devices, may contribute significantly to device drift and errors resulting from qubit miscalibration. Understanding the nature and origins of these discrete…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Dylan Albrecht , Feiyang Ye , N. Tobias Jacobson , John M. Nichol

We calculate low-frequency noise (LFN) in a quantum point contact (QPC) which is electrostatically defined in a 2D electron gas of a GaAs-AlGaAs heterostructure. The conventional source of LFN in such systems are scattering potentials…

Condensed Matter · Physics 2009-10-22 J. P. Hessling , Yu. Galperin

1/f noise, the major source of dephasing in Josephson qubits, may be produced by an ensemble of two-level systems. Depending on the statistical properties of their distribution, the noise distribution can be Gaussian or non-Gaussian. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Josef Schriefl , Yuriy Makhlin , Alexander Shnirman , Gerd Schön

The noise signal of the voltage fluctuations of cathode arcs recorded at different sampling frequencies was analyzed. To explain obtained Fourier spectra for each measurement, a model was developed. The characteristics of the model were…

Plasma Physics · Physics 2017-11-27 Arshat Urazbayev

The origin of the low-frequency noise with power spectrum $1/f^\beta$ (also known as $1/f$ fluctuations or flicker noise) remains a challenge. Recently, the nonlinear stochastic differential equations for modeling $1/f^\beta$ noise have…

Data Analysis, Statistics and Probability · Physics 2016-01-20 B. Kaulakys , M. Alaburda , J. Ruseckas

We discuss intrinsic mechanisms of nonequilibrium excess noise in superconducting devices and transition edge sensors. In particular, we present an overview of fluctuation-driven contributions to the current noise in the vicinity of the…

Superconductivity · Physics 2023-08-25 Juhun Kwak , Emil Pellett , Elio J. König , Alex Levchenko

We consider a single-level quantum dot tunnel-coupled to one normal and one superconducting lead. We employ a diagrammatic real-time approach to calculate the finite-frequency current noise for subgap transport. The noise spectrum gives…

Mesoscale and Nanoscale Physics · Physics 2015-04-14 Stephanie Droste , Janine Splettstoesser , Michele Governale

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

The work of Ahn derives the noise power spectrum of a two-level fluctuator (TLF) in the case that it interacts only with a subregion of a full electron bath and thus is subject to a fluctuating temperature. However, Eq.~(1), which gives the…

Mesoscale and Nanoscale Physics · Physics 2024-02-22 Robert E. Throckmorton , S. Das Sarma

Tensor networks are employed to characterize the current fluctuations in one-dimensional diffusion-reaction systems. The representative system under study is a semiconducting material where holes and electrons constitute two types of charge…

Statistical Mechanics · Physics 2025-12-16 Jiayin Gu

Superconducting circuits are a leading platform for quantum computing. However, their coherence times are still limited and exhibit temporal fluctuations. Those phenomena are often attributed to the coupling between qubits and material…

Quantum Physics · Physics 2022-10-13 Xinyuan You , Ziwen Huang , Ugur Alyanak , Alexander Romanenko , Anna Grassellino , Shaojiang Zhu

We show that placing a quantum system in contact with an environment can enhance non-Fermi-liquid correlations, rather than destroy quantum effects as is typical. The system consists of two quantum dots in series with two leads; the highly…

Strongly Correlated Electrons · Physics 2017-02-09 Gu Zhang , Eduardo Novais , Harold U. Baranger

An extension of fluctuation-dissipation theorem is used to derive a "speed limit" theorem for nonlinear electronic devices. This speed limit provides a lower bound on the dissipation that is incurred when transferring a given amount of…

Statistical Mechanics · Physics 2025-06-23 Léopold Van Brandt , Jean-Charles Delvenne

We have recently developed the QTPIE (charge transfer with polarization current equilibration) fluctuating-charge model, a new model with correct dissociation behavior for nonequilibrium geometries. The correct asymptotics originally came…

Chemical Physics · Physics 2010-10-13 Jiahao Chen , Todd J Martinez

We present a new method to measure 1/f noise in Josephson quantum bits (qubits) that yields low-frequency spectra below 1Hz. Comparison of noise taken at positive and negative bias of a phase qubit shows the dominant noise source to be flux…