Wideband Detection of the Third Moment of Shot Noise by a Hysteretic Josephson Junction

Timofeev, A.; Meschke, Matthias; Peltonen, Joonas T.; Heikkilä, Tero T.; Pekola, Jukka P.

doi:10.1103/physrevlett.98.207001

Cited by 62 publications

(82 citation statements)

References 25 publications

(25 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the present paper we analyse the statistics of the voltage fluctuations in the RSJ model, which has not been addressed in the literature before. Our work is partly motivated by recent progress with experimental techniques, which made it possible to detect non-Gaussian corrections to the statistics of current fluctuations in a normal tunnel junction [5][6][7][8]. It should be possible to apply similar techniques to Josephson junctions.…”

Section: Introductionmentioning

confidence: 99%

Statistics of voltage fluctuations in resistively shunted Josephson junctions

Golubev¹,

Marthaler²,

Utsumi³

et al. 2010

Phys. Rev. B

View full text Add to dashboard Cite

The intrinsic nonlinearity of Josephson junctions converts Gaussian current noise in the input into non-Gaussian voltage noise in the output. For a resistively shunted Josephson junction with white input noise we determine numerically exactly the properties of the few lowest cumulants of the voltage fluctuations, and we derive analytical expressions for these cumulants in several important limits. The statistics of the voltage fluctuations is found to be Gaussian at bias currents well above the Josephson critical current, but Poissonian at currents below the critical value. In the transition region close to the critical current the higher-order cumulants oscillate and the voltage noise is strongly non-Gaussian. For coloured input noise we determine the third cumulant of the voltage.

show abstract

Section: Introductionmentioning

confidence: 99%

Statistics of voltage fluctuations in resistively shunted Josephson junctions

Golubev¹,

Marthaler²,

Utsumi³

et al. 2010

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…(25). Assuming a driven (or nonequilibrium) charge transport, the higher moments scale as Q n+2p+2 ∼ Q n+2p+2 withQ = Q 1 denoting the average transmitted charge (in units of e).…”

Section: A Equidistant Gridsmentioning

confidence: 99%

“…Various generalizations and applications have been proposed, e.g., the current noise in a normal-metalsuperconductor point contact 15 , the electron transfer between superconductors 16 , charge pumping 17 and charge transfer 18 in the Coulomb blockade regime, the extension to energy-dependent scatterers 19 , the statistical properties of the persistent current in nanostructures 20 , or the fluctuations in the heat current in a quantum conductor 21 or between two superconductors 22 , to name just a few of the numerous theoretical studies. At the same time, there are only very few experiments measuring higher-order correlators [23][24][25] and one set of experiments measuring directly the statistics [26][27][28][29] . Unfortunately, measurement back-action is substantial in all of these experiments and a non-invasive measurement of the Full Counting Statistics remains to be done.…”

Section: Introductionmentioning

confidence: 99%

Optimal noninvasive measurement of full counting statistics by a single qubit

2016

View full text Add to dashboard Cite

The complete characterisation of the charge transport in a mesoscopic device is provided by the Full Counting Statistics (FCS) Pt(m), describing the amount of charge Q = me transmitted during the time t. Although numerous systems have been theoretically characterized by their FCS, the experimental measurement of the distribution function Pt(m) or its moments ⟨Q n ⟩ are rare and often plagued by strong back-action. Here, we present a strategy for the measurement of the FCS, more specifically its characteristic function χ(λ) and moments ⟨Q n ⟩, by a qubit with a set of different couplings λj , j = 1, . . . , k, . . . k+p, k = ⌈n 2⌉, p ≥ 0, to the mesoscopic conductor. The scheme involves multiple readings of Ramsey sequences at the different coupling strengths λj and we find the optimal distribution for these couplings λj as well as the optimal distribution Nj of N = ∑ Nj measurements among the different couplings λj . We determine the precision scaling for the moments ⟨Q n ⟩ with the number N of invested resources and show that the standard quantum limit can be approached when many additional couplings p ≫ 1 are included in the measurement scheme.

show abstract

“…The features of the system dynamics provide means for identifying the noise statistics, which is sensitive to the microscopic nature of the noise source. An example of using the dynamics for detecting non-Gaussian noise statistics is the recent theoretical and experimental work on noise-induced switching between coexisting stable states in Josephson junctions and mechanical resonators [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Singular probability distribution of shot-noise driven systems

Ichiki

Tadokoro

Dykman³

2013

Phys. Rev. E

View full text Add to dashboard Cite

We study the stationary probability distribution of a system driven by shot noise. We find that both in the overdamped and underdamped regime, the coordinate distribution displays power-law singularities in its central part. For sufficiently low rate of noise pulses they correspond to distribution peaks. We find the positions of the peaks and the corresponding exponents. In the underdamped regime the peak positions are given by a geometric progression. The energy distribution in this case also displays multiple peaks with positions given by a geometric progression. Such structure is a signature of the shot-noise induced fluctuations. The analytical results are in excellent agreement with numerical simulations.

show abstract

Wideband Detection of the Third Moment of Shot Noise by a Hysteretic Josephson Junction

Cited by 62 publications

References 25 publications

Statistics of voltage fluctuations in resistively shunted Josephson junctions

Statistics of voltage fluctuations in resistively shunted Josephson junctions

Optimal noninvasive measurement of full counting statistics by a single qubit

Singular probability distribution of shot-noise driven systems

Contact Info

Product

Resources

About