The effect of environmental coupling on tunneling of quasiparticles in   Josephson junctions
  We study quasiparticle tunneling in Josephson tunnel junctions embedded in an electromagnetic environment. We identify tunneling processes that transfer electrical charge and couple to the environment in a way similar to that of normal electrons, and processes that mix electrons and holes and are thus creating charge superpositions. The latter are sensitive to the phase difference between the superconductor and are thus limited by phase diffusion even at zero temperature. We show that the environmental coupling is suppressed in many environments, thus leading to lower quasiparticle decay rates and thus better superconductor qubit coherence than previously expected. Our approach is nonperturbative in the environmental coupling strength. 
Mohammad H. Ansari, Frank K. Wilhelm, Urbasi Sinha, and Aninda Sinha
cond-mat.mes-hall cond-mat.supr-con quant-ph