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Time-Correlated Macroscopic Quantum Tunneling of Solitons in Density Waves and Long Josephson Junctions

In: Macroscopic Quantum Coherence and Quantum Computing

Author

Listed:
  • John H. Miller Jr.

    (University of Houston, Department of Physics and Texas Center for Superconductivity)

Abstract

A number of many-body systems, including charge and spin density waves, Wigner crystals, etc., exhibit a sharp threshold electric field for inducing nonlinear transport, without showing the requisite polarization below threshold that one would expect classically. Similarly, many Josephson junctions, especially in the cuprates, have I c R n products up to three orders of magnitude lower than predicted by the Ambegaokar-Baratov formula. These observations suggest that the observed critical field or current is a pair creation threshold for nucleating soliton-antisoliton pairs — essentially a macroscopic Coulomb blockade effect. This paper discusses the analogy to time-correlated single electron tunneling and introduces the concept of a quantum dynamical phase transition.

Suggested Citation

  • John H. Miller Jr., 2001. "Time-Correlated Macroscopic Quantum Tunneling of Solitons in Density Waves and Long Josephson Junctions," Springer Books, in: Dmitri V. Averin & Berardo Ruggiero & Paolo Silvestrini (ed.), Macroscopic Quantum Coherence and Quantum Computing, pages 381-388, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4615-1245-5_38
    DOI: 10.1007/978-1-4615-1245-5_38
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