Phase Diffusion in Low-EJ Josephson Junctions at Milli-Kelvin Temperatures

Abstract

Josephson junctions (JJs) with Josephson energy EJ≲1 K are widely employed as non-linear elements in superconducting circuits for quantum computing operating at milli-Kelvin temperatures. In the qubits with small charging energy EC ( EJ/EC≫1 ), such as the transmon, the incoherent phase slips (IPS) might become the dominant source of dissipation with decreasing EJ. In this work, a systematic study of the IPS in low-EJ JJs at milli-Kelvin temperatures is reported. Strong suppression of the critical (switching) current and a very rapid growth of the zero-bias resistance due to the IPS are observed with decreasing EJ below 1 K. With further improvement of coherence of superconducting qubits, the observed IPS-induced dissipation might limit the performance of qubits based on low-EJ junctions. These results point the way to future improvements of such qubits.

Bolometric detection of Josephson inductance in a highly resistive environment

“…2 b, c are the theoretical results obtained by the standard P(E) theory 12 under the condition E J ≪ k B T in an RC -environment, which highlights the effect of the electromagnetic environment on Josephson phase fluctuations (see Supplementary Note 4 ). Despite the fact that the condition E J ≪ k B T is not well satisfied for either of the two samples, one can use a simple rule: if the Josephson energy E J is less than Josephson energy obtained from Ambegaokar-Baratoff (which is our case), then P ( E ) theory should still hold regardless of the condition E J ≪ k B T and the relatives’ magnitudes of E J and E C 36 . In these calculations, we include overheating caused by the applied bias, as depicted in the inset of Fig.…”