Manuel Houzet, Julia S. Meyer, Leonid I. Glazman
Topological Josephson junctions carry 4pi-periodic bound states. A finite bias applied to the junction limits the lifetime of the bound state by dynamically coupling it to the continuum. That lifetime may be shorter or longer than the phase adjustment time for a given bound state, depending on the resistance of the circuit "seen" by the junction. We show that, in the former case, the presence of a 4pi-periodic bound state manifests itself in a peak in the current noise spectrum at half the Josephson frequency, when a constant bias is applied to the junction. In the opposite case of fast phase adjustment, the 4pi-periodicity is evidenced by an even-odd effect in Shapiro steps. We specify the conditions necessary for observing the manifestations of 4pi-periodicity in the noise spectrum and Shapiro step measurements.
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http://arxiv.org/abs/1303.4909
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