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We study the problem of parameter estimation for discretely observed stochastic processes driven by additive small L\'{e}vy noises. We do not impose any moment condition on the driving L\'{e}vy process. Under certain regularity conditions…

Statistics Theory · Mathematics 2012-05-23 Hongwei Long , Yasutaka Shimizu , Wei Sun

The latest generation of transistors are nanoscale devices whose performance and reliability are limited by thermal noise in low-power applications. Therefore developing efficient methods to compute the voltage and current fluctuations in…

Statistical Mechanics · Physics 2022-12-20 Ashwin Gopal , Massimiliano Esposito , Nahuel Freitas

We consider a two-dimensional fully frustrated Josephson-junction array, which is driven uniformly by oscillating currents. As the temperature is lowered, there emerges a dynamic phase transition to an ordered state with nonzero dynamic…

Condensed Matter · Physics 2009-11-07 Gun Sang Jeon , Jong Soo Lim , Hyun Jin Kim , M. Y. Choi

We investigate the superconducting lifetime of long current-biased Josephson junctions, in the presence of Gaussian and non-Gaussian noise sources. In particular, we analyze the dynamics of a Josephson junction as a function of the noise…

Superconductivity · Physics 2015-06-22 Davide Valenti , Claudio Guarcello , Bernardo Spagnolo

We investigate the dynamics of bosonic atoms in elongated Josephson junctions. We find that these systems are characterized by an intrinsic coupling between the Josephson mode of macroscopic quantum tunneling and the sound modes. This…

Quantum Gases · Physics 2021-06-18 F. Binanti , K. Furutani , L. Salasnich

Quantum fluctuations in a current biased Josephson junction, described in terms of the RCSJ-model, are considered. The fluctuations of the voltage and phase across the junction are assumed to be initiated by equilibrium current fluctuations…

Superconductivity · Physics 2009-11-07 Y. Levinson

Consider a process satisfying a stochastic differential equation with unknown drift parameter, and suppose that discrete observations are given. It is known that a simple least squares estimator (LSE) can be consistent, but numerically…

Statistics Theory · Mathematics 2017-03-17 Yasutaka Shimizu

We study the current noise spectra of a tunnel junction of a metal with strong pairing phase fluctuation and a superconductor. It is shown that there is a characteristic peak in the noise spectrum at the intrinsic Josephson frequency…

Strongly Correlated Electrons · Physics 2009-10-31 Xi Dai , Tao Xiang , Tai-Kai Ng , Zhao-bin Su

Noisy voltage sources can be a limiting factor for fundamental physics experiments as well as for device applications in quantum information, mesoscopic circuits, magnetometry, and other fields. The best commercial DC voltage sources can be…

Mesoscale and Nanoscale Physics · Physics 2025-11-05 J. -L. Smirr , P. Manset , Ç. Ö. Girit

Johnson noise is a small random voltage that appears between terminals of any resistor interacting with its thermal bath at temperature T. It looks like continuous, but the discreteness of the electrical charge suggests its discrete origin…

Statistical Mechanics · Physics 2025-12-23 Jose-Ignacio Izpura

The zero-voltage state of a Josephson junction biased with constant current consists of a set of metastable quantum energy levels. We probe the spacings of these levels by using microwave spectroscopy to enhance the escape rate to the…

Quantum Physics · Physics 2009-11-10 A. J. Berkley , H. Xu , M. A. Gubrud , R. C. Ramos , J. R. Anderson , C. J. Lobb , F. C. Wellstood

We study the averaging principle for a family of multiscale stochastic dynamical systems. The fast and slow components of the systems are driven by two independent stable L\'evy noises, whose stable indexes may be different. The…

Dynamical Systems · Mathematics 2023-11-14 Yanjie Zhang , Qiao Huang , Xiao Wang , Zibo Wang , Jinqiao Duan

The emergence of the exit events from a bounded domain containing a stable fixed point induced by non-Gaussian L\'evy fluctuations plays a pivotal role in practical physical systems. In the limit of weak noise, we develop a Hamiltonian…

Statistics Theory · Mathematics 2020-07-15 Yang Li , Jinqiao Duan , Xianbin Liu , Yanxia Zhang

We discuss in detail the experimental investigation of thermally induced fluctuations of the relative phase between two weakly coupled Bose-Einstein condensates. In analogy to superconducting Josephson junctions, the weak coupling…

Other Condensed Matter · Physics 2007-05-23 R. Gati , J. Esteve , B. Hemmerling , T. B. Ottenstein , J. Appmeier , A. Weller , M. K. Oberthaler

Andreev reflection between a normal metal and a superconductor whose order parameter exhibits quantum phase fluctuations is examined. The approach chosen is non perturbative in the tunneling Hamiltonian and enables to probe the whole range…

Superconductivity · Physics 2009-11-07 P. Devillard , R. Guyon , T. Martin , I. Safi , B. K. Chakraverty

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

It is a challenging issue to analyze complex dynamics from observed and simulated data. An advantage of extracting dynamic behaviors from data is that this approach enables the investigation of nonlinear phenomena whose mathematical models…

Probability · Mathematics 2020-08-21 Yubin Lu , Jinqiao Duan

We have investigated the classical phase dynamics of underdamped ferromagnetic Josephson junctions by measuring the switching probability in both the stationary and nonstationary regimes down to 350 mK. We found the escape temperature to be…

Superconductivity · Physics 2015-05-13 I. Petkovic , M. Aprili

Josephson junctions and superconducting wires when probed with current pulses exhibit stochastic switching from superconducting to a stable non-zero voltage state. Electrical current dependence of the switching probability (so called…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Marek Foltyn , Konrad Norowski , Alexander Savin , Maciej Zgirski

We present current noise measurements in a long diffusive superconductor-normal-metal-superconductor junction in the low voltage regime, in which transport can be partially described in terms of coherent multiple Andreev reflections. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Elsa Lhotel , Olivier Coupiac , François Lefloch , Hervé Courtois , Marc Sanquer