Why macroscopic quantum tunnelling in Josephson junctions differs from tunnelling of a quantum particle

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Published 17 September 2007 Europhysics Letters Association
, , Citation A. O. Sboychakov et al 2007 EPL 80 17009 DOI 10.1209/0295-5075/80/17009

0295-5075/80/1/17009

Abstract

We show that the macroscopic quantum tunnelling of a fluxon in a Josephson junction cannot be described, even qualitatively, as the tunnelling of a quantum particle in a potential U(φ), where the phase difference φ plays the role of particle position, if the length of the junction d exceeds a fluxon length. We calculate the probability per unit time of tunnelling (or escape rate), Γ, which has a form Γ=A exp(-B). In contrast to particles, where the B is proportional to d, our field-theory predicts a different behavior of B for either usual, 0–π, or stacks of Josephson junctions, giving rise to a renormalization of Γ by many orders of magnitude.

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10.1209/0295-5075/80/17009