Summary
We briefly discuss the usual time-reversible descriptions for displacement- and real-current-fed small-capacitance weak links. Many real laboratory current sources deliver charge in an intrinsically irreversible fashion. We propose a phenomenological description of a weak link fed by such a source, and contrast its behaviour with the reversible picture, using a simple example.
Similar content being viewed by others
References
For up-to-date reviews see:Proceedings of the Urbana Nanostructures Workshop, Urbana,May 1991, inMicrostructures and Superlattices,11 (1992);Proceedings of SQUID’91,Berlin, June 1991, inSingle-Electron Tunnelling and Mesoscopic Devices, edited by H.Koch andH. Lübbig,Springer Series in Electronics and Photonics,31 (Springer-Verlag) 1992.
Widom A., Megaloudis G., Clark T. D. andPrance R. J.,J. Phys. A,15 (1982) 1561.
Caldeira A. O. andLeggett A. J.,Phys. Rev. Lett,46 (1981) 211;Ann. Phys. (N.Y.),149 (1983) 374.
Clark T. D., Spiller T. P., Poulton D. A., Prance R. J. andPrance H.,J. Low Temp. Phys.,78 (1990) 315.
Spiller T. P., Clark T. D., Prance, R. J. andWidom A.,Quantum Phenomena in Circuits at Low Temperature, Prog. Low. Temp. Phys., Vol. XIII, edited byD. F. Brewer (North-Holland) 1992.
This was first introduced byAnderson P. W., inLectures on the Many-Body Problem, edited byE. R. Caianello, Vol. 2 (Academic Press) 1964, p. 113, to describe a real-curren Wed Josephson junction.
Schön G. andZaikin A. D.,Physica B,152 (1988) 203.
Widom A. andClark T. D.,Phys. Lett. A,90 (1982) 280.
Feynman R. P. andVernon jr.F. L.,Ann. Phys. (N.Y.),24 (1963) 118.
Landan L. D. andLifshitz E. M.,Quantum Mechanics, 3rd edition (Pergamon) 1977, p. 3:
For an interesting discussion on this topic, seeWidom A., inMacroscopic Quantum Phenomena, edited byT. D. Clark, H. Prance, R. J. Prance andT. P. Spiller (World Scientific) 1991, p. 55.
Kostin M. D.,J. Chem. Phys.,57 (1972) 3589;J. Stat. Phys.,12 (1975) 145.
Josephson B. D.,Phys. Lett,1 (1962) 251.
Born M. andFock V. A.,Z. Phys.,51 (1928) 165.
Messiah A.,Quantum Mechanics, Vol. II (North-Holland, Amsterdam) 1961, p. 747.
E.g.,Kittel C.,Quantum Theory of Solids, 2nd edition (Wiley) 1987, Chapt. 9.
Zener C.,Proc. R. Soc. London, Ser. A,145 (1934) 523.
Ben-Jacob E. andGefen Y.,Phys. Lett. A,108 (1985) 289.
Likharev K. K. andA. B. Zorin,J. Low Temp. Phys.,59 (1985) 347.
Geigenmüller V. andSchön G.,Physica B,152 (1988) 186.
von Neumann J.,Mathematical Foundations of Quantum Mechanics (Princeton University Press) 1955, Chapt. V.
Author information
Authors and Affiliations
Additional information
The authors of this paper have agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Spiller, T.P., Wooller, S., Clark, T.D. et al. On weak links fed with irreversible currents. Nuov Cim B 110, 125–131 (1995). https://doi.org/10.1007/BF02741495
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02741495