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Quantum mechanical duality in SQUID rings and the design and operation of a quantum mechanical voltmeter

  • Physics of Devices
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Festkörperprobleme 25

Part of the book series: Advances in Solid State Physics ((ASSP,volume 25))

Abstract

We discuss the behaviour of a superconducting weak link ring coupled to a radio frequency tank circuit. We show that with the weak link acting quantum mechanically to connect different winding number states of the ring together two limiting regimes of behaviour are discernible. In the first, SQUID (Superconducting Quantum Interference Device) magnetometer, limit nearest neighbour winding number transitions dominate. In the second limit, which forms the basis for a quantum voltmeter conjugate to the SQUID magnetometer, all possible winding number transitions need to be considered.

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References

  1. W.L. Goodman, W.D. Willis, D.A. Vincent and B.S. Deaver, Phys. Rev. B4, 1530 (1971).

    Article  ADS  Google Scholar 

  2. B.D. Josephson, Phys. Lett. 1, 251 (1962).

    Article  MATH  ADS  Google Scholar 

  3. R.J. Prance, A.P. Long, T.D. Clark, A. Widom, J.E. Mutton, J. Sacco, M.W. Potts, G. Megaloudis and F. Goodall, Nature 289, 543 (1981).

    Article  ADS  Google Scholar 

  4. R.J. Prance, J.E. Mutton, H. Prance, T.D. Clark, A. Widom and G. Megaloudis, Helv. Phys. Acta 56, 789 (1983).

    Google Scholar 

  5. J. Callaway, Quantum Theory of the Solid State (Academic Press 1976), p. 681; see also P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York 1966), p. 118.

    Google Scholar 

  6. R.J. Prance, T.D. Clark, J.E. Mutton, H. Prance, T.P. Spiller, and R. Nest, Phys. Lett. 107A, 133 (1985).

    ADS  Google Scholar 

  7. T.P. Spiller, J.E., Mutton, H. Prance, R.J. Prance, T.D. Clark and R. Nest, Quantum Mechanical Flux Band Dynamics of a Superconducting Weak Link Constriction Ring, in preparation.

    Google Scholar 

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Authors and Affiliations

  1. School of Mathematical and Physical Sciences, University of Sussex, BN1 9QH, Brighton, Sussex, U.K.

    Helen Prance, Robert J. Prance, John E. Mutton, Timothy P. Spiller & Terence D. Clark

  2. Department of Mathematics, H.C. Ørsted Institute, University of Copenhagen, Copenhagen, Denmark

    Richard Nest

Authors
  1. Helen Prance
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  2. Robert J. Prance
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  3. John E. Mutton
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  4. Timothy P. Spiller
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  5. Terence D. Clark
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  6. Richard Nest
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Editor information

P. Grosse

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© 1985 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Prance, H., Prance, R.J., Mutton, J.E., Spiller, T.P., Clark, T.D., Nest, R. (1985). Quantum mechanical duality in SQUID rings and the design and operation of a quantum mechanical voltmeter. In: Grosse, P. (eds) Festkörperprobleme 25. Advances in Solid State Physics, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108166

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  • DOI: https://doi.org/10.1007/BFb0108166

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-528-08031-0

  • Online ISBN: 978-3-540-75361-2

  • eBook Packages: Springer Book Archive

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