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Escape Time of Josephson Junctions for Signal Detection

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Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

Part of the book series: Progress in Optical Science and Photonics ((POSP,volume 1))

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Abstract

In this Chapter we investigate with the methods of signal detection the response of a Josephson junction to a perturbation to decide if the perturbation contains a coherent oscillation embedded in the background noise. When a Josephson Junction is irradiated by an external noisy source, it eventually leaves the static state and reaches a steady voltage state. The appearance of a voltage step allows to measure the time spent in the metastable state before the transition to the running state, thus defining an escape time. The distribution of the escape times depends upon the characteristics of the noise and the Josephson junction. Moreover, the properties of the distribution depends on the features of the signal (amplitude, frequency and phase), which can be therefore inferred through the appropriate signal processing methods. Signal detection with JJ is interesting for practical purposes, inasmuch as the superconductive elements can be (in principle) cooled to the absolute zero and therefore can add (in practice) as little intrinsic noise as refrigeration allows. It is relevant that the escape times bear a hallmark of the noise itself. The spectrum of the fluctuations due to the intrinsic classical (owed to thermal or environmental disturbances) or quantum (due to the tunnel across the barrier) sources are different. Therefore, a careful analysis of the escape times could also assist to discriminate the nature of the noise.

An erratum to this chapter is available at 10.1007/10091_2012_21.

An erratum to this chapter can be found at http://dx.doi.org/10.1007/10091_2012_21

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Notes

  1. 1.

    In ref. [1] it has been shown that, for large sample size \(N,\) it is possible to relate \(P_e\) with the well-known Kumar-Carrol index \(d_{KC}\) [36].

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Acknowledgments

We acknowledge Giacomo Rotoli for fruitful advices. We also thank Luca Galletti, Davide Massarotti and Francesco Tafuri for useful discussions. This work has been supported by the Italian Super Computing Resource Allocation ISCRA, CINECA, Italy (Grant IscrB_NDJJBS 2011).

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Authors and Affiliations

  1. Department of Electronic and Computer Engineering, University of Salerno, Via Ponte Don Melillo, 1, 84084, Fisciano, Italy

    P. Addesso

  2. Department of Sciences for Biological, Geological, and Environmental Studies and Salerno unit of CNSIM, University of Sannio, Via Port’Arsa 11, 82100, Benevento, Italy

    G. Filatrella

  3. Department of Engineering, University of Sannio, Corso Garibaldi, 107, 82100, Benevento, Italy

    V. Pierro

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  1. P. Addesso
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  2. G. Filatrella
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  3. V. Pierro
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Correspondence to P. Addesso .

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Editors and Affiliations

  1. Faculty of Engineering The Iby and Aladar Fleischman, Tel Aviv University, Ramat Aviv, Israel

    Boris A. Malomed

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Addesso, P., Filatrella, G., Pierro, V. (2012). Escape Time of Josephson Junctions for Signal Detection. In: Malomed, B. (eds) Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations. Progress in Optical Science and Photonics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10091_2012_9

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  • DOI: https://doi.org/10.1007/10091_2012_9

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