Quantum phenomona in Unconventional 1D Josephson Arrays

The largely unexplored regime of low transparency Josephson junction chains with low charging energy E_C has attracted theoretical interest since it offers a platform to realize many-body effects in superconducting circuits [1] and quantum phase slip devices [2]. In this work we study the current-voltage characteristics (IVc) of Josephson junction with Josephson energy E_J ~ E_C ~ 0.01-1K and temperature range 0.03-1K. We observed the suppression of switching current I_SW and finite zero-biased-resistance R₀ for different E_J/E_C and E_J/T ratios due to thermally activated phase slips and macroscopic quantum phase tunneling.
We will discuss the behavior of I_SW and R₀ at different temperature and environmental impedance,
and propose potential experimental conditions to observe many-body physics such as localization effects [1] and Bloch oscillations [2] as analogues to condensed matter systems.

1. Nonergodic metallic and insulating phases of Josephson junction chains, M. Pino, L. Ioffe, B. Altshuler, DOI: 10.1073/pnas.1520033113
2. Bloch oscillations in small Josephson junctions, K. Likharev, A. Zorin, DOI: 10.1109/TMAG.1985.1063671