Abstract
In order to apply quantum statistical mechanics to systems composed of Josephson junctions, the unconventional constraint of fixed “macroscopic wave function” magnitudes on either side of a junction must be accommodated. In order to use this information, the density matrix formalism must be extended to deal directly with probability distributions over general quantum states. As a result, in thermal equilibrium, the explicit temperature dependence becomes modified from the trivial 1/kT factors.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Bohandy, B. F. Kim, F. J. Adrian, and K. Moorjani,Phys. Rev. B 39:2733 (1989); F. J. Adrian, B. F. Kim, K. Moorjani, and J. Bohandy,Phys. Rev. B 43:10328 (1991).
K. K. Mon and S. Teitel,Phys. Rev. Lett. 62:673 (1989).
P. Hadley, M. R. Beasley, and K. Wiesenfeld,Appl. Phys. Lett. 52:1619 (1988).
C. Ebner and D. Stroud,Phys. Rev. B 31:165 (1985).
B. D. Josephson,Phys. Lett. 1:251 (1962).
R. P. Feynman,The Feynman Lectures on Physics, Vol.III (1965), p. 21–14.
C. E. Shannon,Bell Syst. Tech. J. 27:379, 623 (1948).
E. T. Jaynes,Phys. Rev. 106:620 (1957);108:171 (1957).
E. T. Jaynes,IEEE Trans. Syst. Sci. Cybernet. SSC4:227 (1968).
T. Van Duzer and C. W. Turner,Principles of Superconducting Devices and Circuits (1981), p. 142.
R. Baierlein,Atoms and Information Theory (1971), p. 112.
S. Teitel and C. Jayaprakash,Phys. Rev. B 27:598 (1983).
K. Wiesenfeld and P. Hadley,Phys. Rev. Lett. 62:1335 (1989).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Edis, T. Unusual constraints in the quantum statistical mechanics of Josephson junction systems. J Stat Phys 71, 313–325 (1993). https://doi.org/10.1007/BF01048102
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01048102