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The fugacity of quantum phase slips is ζ∼ e-2c RQ / Rξ, with ca π 163 (Ref.). By requiring that ζ is not inhibitively small, we obtain Rξ >c RQ. For Rtot ∼ RQ, the length must be in the range L∼ RQ ξ/ Rξ <ξ/c.
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