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Conditions on the generator of a Markov process to control the fluctuations of its bridges are found. In particular, continuous time random walks on graphs and gradient diffusions are considered. Under these conditions, a concentration of…

Probability · Mathematics 2016-03-08 Giovanni Conforti

We have embedded a small Josephson junction in a microwave resonator that allows simultaneous dc biasing and dispersive readout. Thermal fluctuations drive the junction into phase diffusion and induce a temperature-dependent shift in the…

Mesoscale and Nanoscale Physics · Physics 2016-09-23 O. -P. Saira , M. Zgirski , K. L. Viisanen , D. S. Golubev , J. P. Pekola

We suggest a new type of the magnetic flux detector which can be optimized with respect to the measurement back-action, e.g. for the situation of quantum measurements. The detector is based on manipulation of ballistic motion of individual…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri V. Averin , Kristian Rabenstein , Vasili K. Semenov

We report on the switching current distributions in nano-hybrid Josephson junctions made of InAs semiconductor nanowires. Temperature dependence of the switching current distribution can be understood by motion of Josephson phase particle…

Superconductivity · Physics 2017-01-17 Bum-Kyu Kim , Yong-Joo Doh

The high-Q harmonic oscillator mode of a Josephson junction can be used as a novel probe of spurious two-level systems (TLSs) inside the amorphous oxide tunnel barriers of the junction. In particular, we show that spectroscopic transmission…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. Tian , R. W. Simmonds

We demonstrate Josephson tunneling in vacuum tunnel junctions formed between a superconducting scanning tunneling microscope tip and a Pb film, for junction resistances in the range 50-300 k$\Omega$. We show that the superconducting phase…

Superconductivity · Physics 2009-11-07 O. Naaman , W. Teizer , R. C. Dynes

We study a superconducting transmission line (TL) formed by distributed LC oscillators and excited by external magnetic fluxes which are aroused from random magnetization (A) placed in substrate or (B) distributed at interfaces of a…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 F. T. Vasko

We consider a superconducting loop with two weak links that encloses a magnetic flux. The weak links are unequal and are treated as Josephson junctions with non-sinusoidal phase dependence. We devise a model that takes into account the…

Superconductivity · Physics 2007-05-23 Jorge Berger

We study the properties of the normal modes of a chain of Josephson junctions in the simultaneous presence of disorder and absorption. We consider the superconducting regime of small phase fluctuations and focus on the case where the…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 D. M. Basko , F. W. J. Hekking

We generalize the stochastic path integral formalism by considering Hamiltonian dynamics in the presence of general Markovian noise. Kramers' solution of the activation rate for escape over a barrier is generalized for non-Gaussian driving…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eugene V. Sukhorukov , Andrew N. Jordan

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

A distributed detection scheme where the sensors transmit with constant modulus signals over a Gaussian multiple access channel is considered. The deflection coefficient of the proposed scheme is shown to depend on the characteristic…

Information Theory · Computer Science 2017-04-05 Cihan Tepedelenlioglu , Sivaraman Dasarathan

We analyze a specific class of random systems that are driven by a symmetric L\'{e}vy stable noise. In view of the L\'{e}vy noise sensitivity to the confining "potential landscape" where jumps take place (in other words, to environmental…

Statistical Mechanics · Physics 2015-06-11 M. Zaba , P. Garbaczewski , V. Stephanovich

Mesoscopic superconducting-normal-metal-superconducting (S-N-S) junctions with a large separation between the superconducting electrodes (i.e. wide junctions) exhibit nonequilibrium supercurrents, even at temperatures for which the…

Superconductivity · Physics 2009-10-31 Nathan Argaman

We calculate the fluctuating voltage V(t) over a conductor driven out of equilibrium by a current source. This is the dual of the shot noise problem of current fluctuations I(t) in a voltage-biased circuit. In the single-channel case the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Kindermann , Yu. V. Nazarov , C. W. J. Beenakker

The paper investigates theoretically effects of noise on low-bias parts of $IV$ curves of tunnel junctions. The analysis starts from the effect of shot noise from an additional (noise) junction on the Coulomb blockaded Josephson junction in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. B. Sonin

We study switching current distributions in superconducting nanostrips using theoretical models and numerical simulations. Switching current distributions are commonly measured in experiments and may provide a window into the microscopic…

Superconductivity · Physics 2024-06-28 Robert Vedin , Jack Lidmar

Stable distributions is an interesting and important class of probability distributions. They were discovered explicitly by Paul L\'{e}vy in 1925 \cite{lk}. They possess many interesting properties, most importantly they are by definiton…

Probability · Mathematics 2007-05-23 Jussi I. Tyhtila

We propose a scheme for the detection of microwave induced photons through current-biased Josephson junction, from the point of view of the statistical decision theory. Our analysis is based on the numerical study of the zero voltage…

A three-terminal Josephson junction biased at opposite voltages can sustain a phase-sensitive dc-current carrying three-body static phase coherence, known as the "quartet current". We calculate the zero-frequency current noise…

Mesoscale and Nanoscale Physics · Physics 2016-04-12 Régis Mélin , Moïse Sotto , Denis Feinberg , Jean-Guy Caputo , Benoît Douçot