Journal of Low Temperature Physics

, Volume 65, Issue 1–2, pp 133–147 | Cite as

Macroscopic quantum tunneling in a dc SQUID

  • Yong-Cong Chen


The theory of macroscopic quantum tunneling is applied to a current-biased dc SQUID whose dynamics can be described by a two-dimensional mechanical system with a dissipative environment. Based on the phenomenological model proposed by Caldeira and Leggett, the dissipative environment is represented by a set of harmonic oscillators coupling to the system. After integrating out the environmental degrees of freedom, an effective Euclidean action is found for the two-dimensional system. The action is used to provide the quantum tunneling rate formalism for the dc SQUID. Under certain conditions, the tunneling rate reduces to that of a single current-biased Josephson junction with an adjustable effective critical current.


Rate Formalism Mechanical System Harmonic Oscillator Phenomenological Model Critical Current 
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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • Yong-Cong Chen
    • 1
  1. 1.Loomis Laboratory of Physics, Department of PhysicsUniversity of Illinois at Urbana-ChampaignUrbana

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